International Journal of Robust and Nonlinear Control

Publisher: Wiley

Journal description

The intention of the International Journal of Robust and Nonlinear Control is to encourage the development of analysis and design techniques for uncertain systems. The Journal will provide a natural forum for papers on the theory and application of robust control system design including contributions on the H and loop transfer recovery design philosophies. Papers will also be welcome on methods of improving the robustness of well-established design procedures such as the Inverse Nyquist Array Sequential Return Difference Characteristic Loci and Linear Quadratic Gaussian methods. The wider issues of modelling and identifying uncertain systems will also be addressed and analysis procedures such as the Structured Singular Value will be of interest. Papers on applications will be particularly encouraged. Control techniques based on Heuristic or rule based design methods for uncertain systems will be considered together with procedures based on fuzzy set theory. Contributions on the design of controllers for nonlinear systems will be included particularly where these involve robust design issues. The main thrust of the Journal is on the control of uncertain systems but it is recognized that nonlinearities cause robust design problems of a similar nature.

Current impact factor: 3.18

Impact Factor Rankings

2015 Impact Factor Available summer 2016
2014 Impact Factor 3.176
2013 Impact Factor 2.652
2012 Impact Factor 1.9
2011 Impact Factor 1.554
2010 Impact Factor 1.495
2009 Impact Factor 1.906
2008 Impact Factor 1.56
2007 Impact Factor 1.637
2006 Impact Factor 1.108
2005 Impact Factor 1.048
2004 Impact Factor 0.772
2003 Impact Factor 0.792
2002 Impact Factor 1.021
2001 Impact Factor 0.84
2000 Impact Factor 0.657
1999 Impact Factor 0.426
1998 Impact Factor 0.256
1997 Impact Factor 0.624
1996 Impact Factor 0.762
1995 Impact Factor 0.623

Impact factor over time

Impact factor

Additional details

5-year impact 2.94
Cited half-life 5.30
Immediacy index 0.45
Eigenfactor 0.01
Article influence 1.16
Website International Journal of Robust and Nonlinear Control website
Other titles International journal of robust and nonlinear control (Online), International journal of robust and nonlinear control, Robust and nonlinear control
ISSN 1099-1239
OCLC 44069290
Material type Document, Periodical, Internet resource
Document type Internet Resource, Computer File, Journal / Magazine / Newspaper

Publisher details


  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author cannot archive a post-print version
  • Restrictions
    • 12 months embargo
  • Conditions
    • Some journals have separate policies, please check with each journal directly
    • On author's personal website, institutional repositories, arXiv, AgEcon, PhilPapers, PubMed Central, RePEc or Social Science Research Network
    • Author's pre-print may not be updated with Publisher's Version/PDF
    • Author's pre-print must acknowledge acceptance for publication
    • Non-Commercial
    • Publisher's version/PDF cannot be used
    • Publisher source must be acknowledged with citation
    • Must link to publisher version with set statement (see policy)
    • If OnlineOpen is available, BBSRC, EPSRC, MRC, NERC and STFC authors, may self-archive after 12 months
    • If OnlineOpen is available, AHRC and ESRC authors, may self-archive after 24 months
    • Publisher last contacted on 07/08/2014
    • This policy is an exception to the default policies of 'Wiley'
  • Classification
    ​ yellow

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper investigates the finite-time stabilization of a class of switched stochastic nonlinear systems under arbitrary switching, where each subsystem has a chained integrator with the power r (0 < r < 1). By using the technique of adding a power integrator, a continuous state-feedback controller is constructed, and it is proved that the solution of the closed-loop system is finite-time stable in probability. Two simulation examples are provided to show the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2016; DOI:10.1002/rnc.3398
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper aims to develop the stability theory for singular stochastic Markov jump systems with state-dependent noise, including both continuous-time and discrete-time cases. The sufficient conditions for the existence and uniqueness of a solution to the system equation are provided. Some new and fundamental concepts such as non-impulsiveness and mean square admissibility are introduced, which are different from those of other existing works. By making use of the -representation technique and the pseudo inverse E+ of a singular matrix E, sufficient conditions ensuring the system to be mean square admissible are established in terms of strict linear matrix inequalities, which can be regarded as extensions of the corresponding results of deterministic singular systems and normal stochastic systems. Practical examples are given to demonstrate the effectiveness of the proposed approaches. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 09/2015; DOI:10.1002/rnc.3401
  • [Show abstract] [Hide abstract]
    ABSTRACT: The synchronization problem of linear over-actuated multi-agent systems with unmeasurable states is studied in this paper, under both limited communication data rate and switching topology flows. A class of adaptive quantized observer-based encoding–decoding schemes and a class of certainty equivalence principle-based control protocols are proposed. By developing the graph-based space decomposition technique and analyzing the closed-loop quantized dynamic equations, it is shown that if the network topology flow is jointly connected, the communication channels are periodic active, and the agent dynamics is observable, and with the orthogonal system matrix, the proposed communication and control protocols can ensure the closed-loop system to achieve synchronization exponentially fast with finite bits of information exchange per step. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 09/2015; DOI:10.1002/rnc.3453
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    ABSTRACT: In this paper, we address the problem of output regulation for a broad class of multi-input multi-output (MIMO) nonlinear systems. Specifically, we consider input–affine systems, which are invertible and input–output linearizable. This class includes, as a trivial special case, the class of MIMO systems which possess a well-defined vector relative degree. It is shown that if a system in this class is strongly minimum phase, in a sense specified in the paper, the problem of output regulation can be solved via partial-state feedback or via (dynamic) output feedback. The result substantially broadens the class of nonlinear MIMO systems for which the problem in question is known to be possible. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 09/2015; DOI:10.1002/rnc.3454
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we develop a new model reference control architecture to effectively suppress system uncertainties and achieve a guaranteed transient and steady-state system performance. Unlike traditional robust control frameworks, only a parameterization of the system uncertainty given by unknown weights with known conservative bounds is needed to stabilize uncertain dynamical systems with predictable system performance. In addition, the proposed architecture's performance is not dependent on the level of conservatism of the bounds of system uncertainty. Following the same train of thought as adaptive controllers that modify a given reference system to improve system performance, the proposed method is inspired by a recently developed command governor theory that minimizes the effect of system uncertainty by augmenting the input signal of the uncertain dynamical and reference systems. Specifically, a dynamical system, called a command governor, is designed such that its output is used to modify the input of both the controlled uncertain dynamical and reference systems. It is theoretically shown that if the command governor design parameter is judiciously selected, then the controlled system approximates the given original, unmodified reference system. The proposed approach is advantageous over model reference adaptive control approaches because linearity of the uncertain dynamical system is preserved through linear control laws, and hence, the closed-loop performance is predictable for different command spectrums. Additionally, it is shown that the architecture can be modified for robustness improvements with respect to high frequency content due to, for example, measurement noise. Modifications can also be made in order to accommodate actuator dynamics and retain closed-loop stability and predictable performance. The main contribution of this paper is the rigorous analysis of the stability and performance of a system utilizing the command governor framework. A numerical example is provided to illustrate the effectiveness of the proposed architecture. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 09/2015; DOI:10.1002/rnc.3416
  • [Show abstract] [Hide abstract]
    ABSTRACT: We investigate the problem of robust adaptive tracking by output feedback for a class of uncertain nonlinear systems. Based on the high-gain scaling technique and a new adaptive law, a linear-like output feedback controller is constructed. Only one dynamic gain is designed, which makes the controller easier to implement. Furthermore, by modifying the update law, the adaptive controller is robust to bounded external disturbance and is able to guarantee the convergence of the output tracking error to an arbitrarily small residual set. A numerical example is used to illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3402
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper deals with the problem of control of partially known nonlinear systems, which have an open-loop stable equilibrium, but we would like to add a PI controller to regulate its behavior around another operating point. Our main contribution is the identification of a class of systems for which a globally stable PI can be designed knowing only the systems input matrix and measuring only the actuated coordinates. The construction of the PI is carried out invoking passivity theory. The difficulties encountered in the design of adaptive PI controllers with the existing theoretical tools are also discussed. As an illustration of the theory, we consider a class of thermal processes. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3404
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper studies the partial consensus problem for identical feedforward dynamic systems with input saturations. We construct two consensus protocols using the partial-state information and full-state information, respectively. Applying a change of coordinates, feedforward system is transformed into the block diagonal form. Then, by utilizing the bounded real lemma and small gain theorem, we solve the partial consensus problem, and the existence of each protocol is derived. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3410
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper investigates the problem of designing robust linear quadratic regulators for uncertain polytopic continuous-time systems over networks subject to delays. The main contribution is to provide a procedure to determine a discrete-time representation of the weighting matrices associated to the quadratic criterion and an accurate discretized model, in such a way that a robust state feedback gain computed in the discrete-time domain assures a guaranteed quadratic cost to the closed-loop continuous-time system. The obtained discretized model has matrices with polynomial dependence on the uncertain parameters and an additive norm-bounded term representing the approximation residual error. A strategy based on linear matrix inequality relaxations is proposed to synthesize, in the discrete-time domain, a digital robust state feedback control law that stabilizes the original continuous-time system assuring an upper bound to the quadratic cost of the closed-loop system. The applicability of the proposed design method is illustrated through a numerical experiment. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3411
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper addresses the problem of almost disturbance decoupling (ADD) using sampled-data output feedback control for a class of continuous-time nonlinear systems. Under a lower-triangular linear growth condition, a sampled-data output feedback controller is constructed based on the output feedback domination approach, and a Gronwall–Bellman-like inequality is established in the presence of disturbances. Even though a sampled-data controller is employed for easy computer implementation, the proposed controller is still able to achieve ADD under the commonly used continuous-time requirement, that is, the disturbances' effect on the output is attenuated to an arbitrary degree of accuracy in the L2 gain sense. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3403
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    ABSTRACT: In this paper, a distributed reactive power control based on balancing strategies is proposed for a grid-connected photovoltaic (PV) inverter network. Grid-connected PV inverters can transfer active power at the maximum power point and generate a certain amount reactive power as well. Because of the limited apparent power transfer capability of a single PV inverter, multiple PV inverters usually work together. The communication modules of PV inverters formulate a PV inverter network that allows reactive power to be cooperatively supplied by all the PV inverters. Hence, reactive power distributions emerge in the grid-connected PV inverter network. Uniform reactive power distributions and optimal reactive power distributions are considered here. Reactive power balancing strategies are presented for both desired distributions. Invariant sets are defined to denote the desired reactive power distributions. Then, stability analysis is conducted for the invariant sets by using Lyapunov stability theory. In order to validate the proposed reactive power balancing strategies, a case study is performed on a large-scale grid-connected PV system considering different conditions. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3408
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    ABSTRACT: This paper presents a new perspective on the stability problem for uncertain LTI feedback systems with actuator input amplitude saturation. The solution is obtained using the quantitative feedback theory and a 3 DoF non-interfering control structure. Describing function (DF) analysis is used as a criterion for closed loop stability and limit cycle avoidance, but the circle or Popov criteria could also be employed. The novelty is the combination of a controller parameterization from the literature and describing function-based limit cycle avoidance with margins for uncertain plants. Two examples are given. The first is a benchmark problem and a comparison is made with other proposed solutions. The second is an example that was implemented and tested on an X-Y linear stage used for nano-positioning applications. Design and implementation considerations are given. An example is given on how the method can be extended to amplitude and rate saturation with the help of the generalized describing function, and a novel anti-windup compensation structure inspired by previous contributions. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3397
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    ABSTRACT: In this paper, an observer-based control approach is proposed for uncertain stochastic nonlinear discrete-time systems with input constraints. The widely used extended Kalman filter (EKF) is well known to be inadequate for estimating the states of uncertain nonlinear dynamical systems with strong nonlinearities especially if the time horizon of the estimation process is relatively long. Instead, a modified version of the EKF with improved stability and robustness is proposed for estimating the states of such systems. A constrained observer-based controller is then developed using the state-dependent Riccati equation approach. Rigorous analysis of the stability of the developed stochastically controlled system is presented. The developed approach is applied to control the performance of a synchronous generator connected to an infinite bus and chaos in permanent magnet synchronous motor. Simulation results of the synchronous generator show that the estimated states resulting from the proposed estimator are stable, whereas those resulting from the EKF diverge. Moreover, satisfactory performance is achieved by applying the developed observer-based control strategy on the two practical problems. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3396
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    ABSTRACT: We study the problem of routing vehicles with energy constraints through a network where there are at least some charging nodes. We seek to minimize the total elapsed time for vehicles to reach their destinations by determining routes, as well as recharging amounts when the vehicles do not have adequate energy for the entire journey. For a single vehicle, we formulate a mixed-integer nonlinear programming problem and derive properties of the optimal solution allowing it to be decomposed into two simpler problems. For a multi-vehicle problem, where traffic congestion effects are included, we seek to optimize a system-wide objective and formulate the problem by grouping vehicles into ‘subflows’. We also provide an alternative flow optimization formulation leading to a computationally simpler problem solution with minimal loss in accuracy. Because the problem size increases with the number of subflows, a proper selection of this number is essential to render the problem computationally manageable and reflects a trade-off between proximity to optimality and computational effort needed to solve the problem. We propose a criterion and procedure leading to an appropriate choice of the number of subflows. We also quantify the ‘price of anarchy’ for this problem and compare user-optimal to system-optimal performance. Finally, when the system consists of both electric vehicles (EVs) and non-electric vehicles, we formulate a system-centric optimization problem for optimal routing of both non-electric vehicles and EVs along with an optimal policy for charging EVs along the way if needed. Numerical results are included to illustrate these approaches. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3409
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper is concerned with the positive stabilization for a class of switched systems under asynchronous switching signals. Because it inevitably takes some time to identify the active subsystem in the real systems and activate the corresponding controller, the switching of controllers lags behind that of subsystems, which arises the problem of the asynchronous switching. By analyzing the solution of dynamic systems, the mode-dependent controllers are designed to guarantee the positivity and exponential stability for the resultant closed-loop switched linear systems under asynchronous switching signals in continuous-time and discrete-time cases, respectively. Sufficient conditions for the existence of admissible state-feedback controllers are developed, and the corresponding switching signals are designed. Furthermore, a synchronous switching phenomenon is discussed as a special case. Finally, numerical examples are given to illustrate the effectiveness of the results. Copyright © 2015 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 08/2015; DOI:10.1002/rnc.3415
  • [Show abstract] [Hide abstract]
    ABSTRACT: A robust fault-tolerant control scheme is proposed for uncertain nonlinear systems with zero dynamics, affected by actuator faults and lock-in-place and float failures. The proposed controller utilizes an adaptive second-order sliding mode strategy integrated with the backstepping procedure, retaining the benefits of both the methodologies. A Lyapunov stability analysis has been conducted, which unfolds the advantages offered by the proposed methodology in the presence of inherent modeling errors and strong eventualities of faults and failures. Two modified adaptive laws have been formulated, to approximate the bounds of uncertainties due to modeling and to estimate the fault-induced parametric uncertainties. The proposed scheme ensures robustness towards linearly parameterized mismatched uncertainties, in addition to parametric and non-parametric matched perturbations. The proposed controller has been shown to yield an improved post-fault transient performance without any additional expense in the control energy spent. The proposed scheme is applied to the pitch control problem of a nonlinear longitudinal model of Boeing 747-100/200 aircraft. Simulation results support theoretical propositions and confirm that the proposed controller produces superior post-fault transient performance compared with already existing approaches designed for similar applications. Besides, the asymptotic stability of the overall controlled system is also established in the event of such faults and failures.
    International Journal of Robust and Nonlinear Control 07/2015;