International Journal of Robust and Nonlinear Control

Publisher: John Wiley and Sons

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.

  • Impact factor
    1.90
  • 5-year impact
    2.26
  • Cited half-life
    5.30
  • Immediacy index
    0.56
  • Eigenfactor
    0.01
  • Article influence
    0.94
  • 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

John Wiley and Sons

  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author can archive a post-print version
  • Conditions
    • See Wiley-Blackwell entry for articles after February 2007
    • On personal web site or secure external website at authors institution
    • Deposit in institutional repositories is not allowed
    • JASIST authors may deposit in an institutional repository
    • Non-commercial
    • Pre-print must be accompanied with set phrase (see individual journal copyright transfer agreements)
    • Published source must be acknowledged with set phrase (see individual journal copyright transfer agreements)
    • Publisher's version/PDF cannot be used
    • Articles in some journals can be made Open Access on payment of additional charge
    • 'John Wiley and Sons' is an imprint of 'Wiley'
  • Classification
    ​ green

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: A novel three-dimensional guidance law using only line-of-sight azimuths based on input-to-state stability and robust nonlinear observer is proposed for interception of maneuvering targets. The proposed guidance law does not need any prior information of unknown bounded target maneuvers and uncertainties. Since in practice the line-of-sight rate is difficult for a pursuer to measure accurately, a nonlinear robust observer is introduced to estimate it. A three-dimensional guidance law with bearing only measurement is obtained for interception of maneuvering targets. The presented algorithm is tested using computer simulations against a maneuvering target. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: Chatter is an instability phenomenon in high-speed milling that limits machining productivity by the induction of tool vibrations, inferior machining accuracy, noise, and wear of machine components. In this paper, a fixed-structure active chatter control design methodology is proposed, which enables dedicated shaping of the chatter stability boundary such that working points of higher machining productivity become feasible while avoiding chatter. The control design problem is cast into a nonsmooth optimization problem, which is solved using bundle methods. Using this approach, fixed-structure dynamic (delayed) output feedback controllers can be synthesized. Distinct benefits of this approach are the a priori fixing of the controller order, the limitation of the control action, and the fact that no finite-dimensional model approximations and online chatter estimation techniques are required. All these benefits are important in milling practice. Representative examples illustrate the power of the proposed methodology in terms of increasing the chatter-free depth of cut, thereby enabling significant increases in machining productivity. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper addresses the model-based event-triggered predictive control problem for networked control systems (NCSs). Firstly, we propose a discrete event-triggered transmission scheme on the sensor node by introducing a quadratic event-triggering function. Then, on the basis of the aforementioned scheme, a novel class of model-based event-triggered predictive control algorithms on the controller node is designed for compensating for the communication delays actively and achieving the desired control performance while using less network resources. Two cases, that is, the value of the communication delay of the first event-triggered state is less or bigger than the sampling period, are considered separately for certain NCSs, regardless of the communication delays of the subsequent event-triggered states. The codesign problems of the controller and event-triggering parameter for the two cases are discussed by using the linear matrix inequality approach and the (switching) Lyapunov functional method. Furthermore, we extended our results to the NCSs with systems uncertainties. Finally, a practical ball and beam system is studied numerically to demonstrate the compensation effect for the communication delays with the proposed novel model-based event-triggered predictive control scheme. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we investigate the problem of global output feedback stabilization for a class of planar nonlinear systems under a more general growth condition, which encompasses both lower-order and higher-order state growths with output-dependent rates. For more accurate estimation, two new observers with nonlinear gains are constructed to estimate the states on the lower-order and higher-order scales, respectively. The estimates produced from the dual-observer are used delicately in the output feedback control law with both lower-order and higher-order modes. The overall stability of the system is guaranteed by rigorously choosing these nonlinear gains in the control law and the dual-observer.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: Sliding mode control design for systems with relative degree r requires a number r − 1 of time-derivatives of the system output, which usually leads to deterioration of the whole scheme; if the highest-order derivative is spared, a better precision is ensured. This paper proposes a control algorithm that guarantees reaching a second-order sliding manifold using only r − 2 derivatives of the system output. This objective is achieved at the price of yielding finite-time convergence while preserving the essential feature of insensitivity to matched disturbances. The results take full advantage of convex representations and linear matrix inequalities, whose formulation easily allows dealing with unmatched disturbances by convex optimization techniques already implemented in commercially available software. Simulation examples are included to show the effectiveness of the proposed approach. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: We present an asymptotic tracking controller for an underactuated quadrotor unmanned aerial vehicle using the sliding mode control method and immersion and invariance based adaptive control strategy in this paper. The control system is divided into two loops: the inner-loop for the attitude control and the outer-loop for the position. The sliding mode control technology is applied in the inner-loop to compensate the unmatched nonlinear disturbances, and the immersion and invariance approach is chosen for the outer-loop to address the parametric uncertainties. The asymptotic tracking of the position and the yaw motion is proven with the Lyapunov based stability analysis and LaSalle's invariance theorem. Real-time experiment results performed on a hardware-in-the-loop-simulation testbed are presented to validate the good control performance of the proposed scheme. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: We derive instability criteria for Lur'e systems with sector-bounded nonlinearities and uncertain external signals. First, we define absolute instability of an equilibrium and derive an absolute instability condition for a fixed equilibrium point in terms of a linear matrix inequality, which is analogous to the well-known circle stability criterion. Then, the condition is extended to a parametric absolute instability condition, which is applicable to the instability test of a Lur'e system with an equilibrium point whose location is affected by uncertain nonlinearities and uncertain external signals. Finally, we show that the proposed analysis method is useful through the oscillation analysis of an uncertain genetic network model. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, the control problem of linear systems with periodic sampling period subject to actuator saturation is considered via delta operator approach. Using periodic Lyapunov function, sufficient conditions of local stabilization for periodic sampling systems are given. By solving an optimization problem, we derive the periodic feedback control laws and the estimate of the domain of attraction. As the saturation function sat(·) belongs to the sector [0,1], sufficient conditions are derived by constructing saturation-dependent Lyapunov functions to ensure that the periodic sampling system is globally asymptotically stable. A numerical example is given to illustrate the theoretical results proposed in this paper. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper is concerned with overlapping group mode-dependent H∞ control for a discrete-time Markovian jump linear system, where global modes of the system are not completely available for controller design. Firstly, a randomly overlapping decomposition method is developed to reformulate the system by a set of locally overlapping switched groups with accessible group modes. The reformulated system switches among different group modes in an overlapping manner. Secondly, an overlapping group mode-dependent state feedback controller is delicately constructed. Compared with some existing mode-dependent controllers in the literature, the proposed controller has three features: (i) it does not require all exact knowledge of global modes; (ii) it takes full advantage of group mode information of the reformulated system; and (iii) it allows overlapping local modes to exist in the formed groups. Thirdly, sufficient conditions on the existence of a desired overlapping group mode-dependent state feedback controller are derived such that the resultant closed-loop system is stochastically stable with prescribed H∞ performance. Furthermore, the proposed method is extended to design overlapping group mode-dependent state feedback controllers subject to incomplete mode transition probabilities. The proposed overlapping group mode-dependent framework is shown to be more general and includes traditional Markovian jump linear systems with completely accessible global modes as its special case. In the case of only one group in the reformulated system, it is shown that some existing result in existing literature can be retrieved. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this work, by incorporating a tan-type barrier Lyapunov function into the Lyapunov function design, we present a novel adaptive fault-tolerant control (FTC) scheme for a class of output-constrained multi-input single-output nonlinear systems with actuator failures under the perturbation of both parametric and nonparametric system uncertainties. We show that under the proposed adaptive FTC scheme, exponential convergence of the output tracking error into a small set around zero is guaranteed, while the constraint requirement on the system output will not be violated during operation. In the end, two illustrative examples are presented to demonstrate the effectiveness of the proposed FTC scheme.
    International Journal of Robust and Nonlinear Control 12/2014;
  • Xiao‐Jian Li, Guang‐Hong Yang
    [Show abstract] [Hide abstract]
    ABSTRACT: This paper is concerned with the actuator fault detection (FD) problem in finite frequency domains for multi-delay systems subject to time-varying affine uncertainties. Because of the existence of time-varying uncertain parameters, the generalized Kalman–Yakubovic–Popov lemma based finite frequency FD filter design approaches cannot be applied. To tackle this difficulty, a new delay-dependent bounded real lemma (BRL) is established by using Lyapunov theory and Parseval's theorem to characterize the finite frequency disturbance attenuation and fault sensitivity performances. Moreover, via the obtained BRL, convex FD filter design conditions are then derived by constructing a hyperplane tangent. Finally, the effectiveness and advantages of the proposed FD method are illustrated through a simulation example on a ground vehicle. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 12/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In model predictive control (MPC), the input sequence is computed, minimizing a usually quadratic cost function based on the predicted evolution of the system output. In the case of nonlinear MPC (NMPC), the use of nonlinear prediction models frequently leads to non-convex optimization problems with several minimums. This paper proposes a new NMPC strategy based on second order Volterra series models where the original performance index is approximated by quadratic functions, which represent a lower bound of the original performance index. Convexity of the approximating quadratic cost functions can be achieved easily by a suitable choice of the weighting of the control increments in the performance index. The approximating cost functions can be globally minimized by convex optimization techniques in order to compute the input sequence. The minimization of the performance index is carried out by an iterative optimization procedure, which guarantees convergence to the solution. Furthermore, for a nominal prediction model, asymptotic stability for the proposed NMPC strategy can be shown. In the case of considering an estimation error in the prediction model, input-to-state practical stability is assured. The control performance of the NMPC strategy is illustrated by experimental results. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 11/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, a motion control problem of multi-agent systems for escorting a target is investigated by employing nonsingular fast terminal sliding mode control and adaptive control associated with kinematic control. The proposed control law is robust to model uncertainty and disturbances, and it guarantees all the agents to scatter around the target evenly and escort it with a fixed distance while avoiding obstacles (or collisions) in p-dimensional case ( is a positive integer). Finite-time convergence of the position errors and velocity errors is proved rigorously by a Lyapunov-based approach and finite-time control techniques. Simulation results in both two-dimensional and three-dimensional space are provided to illustrate the effectiveness and high-precision performance of the control algorithm compared with the traditional adaptive sliding mode control, showing that all the agents can move into suitable positions on the surface of the sphere in the escort mission, and the formation can be reconfigured automatically when the obstacle (or collision) avoidance task is active. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 11/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: We propose a state-feedback controller for switched-reluctance motors as a preliminary step toward the solution of the sensorless control problem (without measurement of rotor variables). We establish global exponential stability. Furthermore, our controller renders the closed-loop system robust to external disturbances, that is, input-to-state stable. Although there exist some works on sensorless control of switched-reluctance motors, these consist mainly of ad hoc solutions without theoretical foundation. The few theoretically validated results in the literature are established under more stringent conditions such as knowledge of the load torque. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 11/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper addresses the state-tracking model reference adaptive control problem for a class of switched systems with parametric uncertainties, where switchings between subsystems and designed adaptive controller are asynchronous. First, we establish a stability criterion for a switched reference model and convert the state-tracking problem into the stability problem of an error switched system. Then, an adaptive law is designed, and the global practical stability of the error switched system is guaranteed under a class of switching signals characterized by a dwell-time condition. An electrohydraulic system is given as an example to demonstrate the feasibility and effectiveness of the proposed design method. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 11/2014;
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper is concerned with robust quantized output feedback control problems for uncertain discrete-time systems with time-varying delay and saturation nonlinearity. It is assumed that the quantizer is of the saturating type. A new framework for the local boundedness stabilization of quantized feedback systems is developed. Attention is focused on finding a quantized static output feedback controller such that all trajectories of the resulting closed-loop system starting from an admissible initial basin converge to a bounded region strictly within the initial basin. A quantized feedback controller is proposed, which comprises output feedback and the exogenous signal parts. Simulation examples are given to illustrate the effectiveness and advantage of the proposed methods. Copyright © 2014 John Wiley & Sons, Ltd.
    International Journal of Robust and Nonlinear Control 11/2014;