W.M. Haddad

Georgia Institute of Technology, Atlanta, Georgia, United States

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Publications (458)350.14 Total impact

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    ABSTRACT: In this paper we explore the applicability of the implicit small-gain guaranteed cost bound for controller synthesis. For flexibility in controller synthesis, we adopt the approach of fixed-structure controller design which allows consideration of arbitrary controller structures, including order, internal structure, and decentralization. A numerical example that has been addressed in the literature by means of alternative guaranteed cost bounds is presented to demonstrate the fixed-structure/implicit small-gain approach to robust controller synthesis.
    Journal of the Franklin Institute. 01/2000;
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    ABSTRACT: In this paper we develop generalized Lyapunov and invariant set theorems for nonlinear dynamical systems wherein all regularity assumptions on the Lyapunov function and the system dynamics are removed. In particular, local and global stability theorems are given using lower semicontinuous Lyapunov functions. Furthermore, generalized invariant set theorems are derived wherein system trajectories converge to a union of largest invariant sets contained in intersections over finite intervals of the closure of generalized Lyapunov level surfaces. The proposed results provide transparent generalizations to standard Lyapunov and invariant set theorems.
    Systems & Control Letters 12/1999; 38(4):289-295. · 1.67 Impact Factor
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    Wassim M. Haddad
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    ABSTRACT: Issued as final report
    07/1999;
  • J.R. Corrado, W.M. Haddad
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    ABSTRACT: A feedback control design problem involving structured plant parameter uncertainties and controller gain variations is considered. Specifically, the robust guaranteed cost controller synthesis framework is extended to address the design of robust resilient static output feedback controllers for systems with structured parametric uncertainty and controller gain uncertainty
    American Control Conference, 1999. Proceedings of the 1999; 07/1999
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    ABSTRACT: We develop globally stabilizing robust/disturbance rejection controllers for rotating stall and surge in axial flow compressors with uncertain system dynamics and exogenous disturbances. Specifically, using the nonlinear-nonquadratic disturbance rejection optimal control framework for systems with bounded energy (square-integrable) L<sub>2 </sub> disturbances developed in Haddad et al. (1997) and the nonlinear-nonquadratic robust optimal control framework for systems with nonlinear structured parametric uncertainty developed in Haddad et al. (1997), a family of globally robustly stabilizing controllers for jet engine compression systems is developed. The proposed controllers are compared with locally stabilizing bifurcation-based controllers and recursive backstepping controllers
    IEEE Transactions on Control Systems Technology 06/1999; · 2.00 Impact Factor
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    ABSTRACT: This paper considers fixed-structure H"2-optimal relative degree two controller synthesis. The problem is presented in a decentralized static output feedback framework developed for fixed-order (i.e., full- and reduced-order) dynamic controller synthesis. A quasi-Newton/continuation algorithm is used to compute solutions to the necessary conditions. To demonstrate the approach, a flexible structure example is considered.
    Automatica (Journal of IFAC). 06/1999; 35(6):1169-1173.
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    ABSTRACT: In this paper we develop an optimality-based nonlinear control framework for nonlinear systems with time-invariant sector-bounded memoryless input nonlinearities. Specifically, using an optimal nonlinear control framework we develop a family of globally stabilizing controllers parameterized by the cost functional that is minimized. Furthermore, it is shown that the control Lyapunov function guaranteeing closed-loop stability over a prescribed set of input nonlinearities is a solution to the steady-state Hamilton-Jacobi-Bellman equation for the controlled system and thus guarantees stability and performance.
    Journal of the Franklin Institute. 05/1999;
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    V. Chellaboina, A. Leonessa, W.M. Haddad
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    ABSTRACT: In this paper we develop generalized Lyapunov and invariant set theorems for nonlinear dynamical systems wherein all regularity assumptions on the Lyapunov function and the system dynamics are removed. In particular, local and global stability theorems are given using lower semicontinuous Lyapunov functions. Furthermore, generalized invariant set theorems are derived wherein system trajectories converge to a union of largest invariant sets contained in intersections over finite intervals of the closure of generalized Lyapunov level surfaces. The proposed results provide transparent generalizations to standard Lyapunov and invariant set theorems
    American Control Conference, 1999. Proceedings of the 1999; 02/1999
  • W.M. Haddad, V. Chellaboina, N.A. Kablar
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    ABSTRACT: For part I, see ibid. In part I, Lyapunov and invariant set theorems, and dissipativity theory were developed for nonlinear impulsive dynamical systems. In this part we build on these results to develop general stability criteria for feedback interconnections of nonlinear impulsive systems. In addition, a unified framework for hybrid feedback optimal control involving a hybrid nonlinear-nonquadratic performance functional is developed. It is shown that the hybrid cost functional can be evaluated in closed-form as long as the cost functional considered is related in a specific way to an underlying Lyapunov function that guarantees asymptotic stability of the nonlinear closed-loop impulsive system. Furthermore, the Lyapunov function is shown to be a solution of a steady-state, hybrid Hamilton-Jacobi-Bellman equation
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on; 02/1999
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    ABSTRACT: We develop fixed-order (i.e., full- and reduced-order) controllers for linear discrete-time systems with actuator amplitude and rate saturation constraints. The problem is formulated as a multiobjective problem involving a convex combination of an l<sub>1</sub> norm and the H<sub>2</sub> norm to capture actuator saturation constraints and closed-loop system performance in the face of exogenous white noise disturbances
    American Control Conference, 1999. Proceedings of the 1999; 02/1999
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    ABSTRACT: Proposes a control Lyapunov function-based optimization approach to the design of state and output feedback laws for systems with polynomial nonlinearities. To obtain a less computationally intensive algorithm, the optimization problem uses a heuristic criteria to enforce the negative definiteness of the Lyapunov function. The approach is illustrated with an example, and directions of future research are discussed
    American Control Conference, 1999. Proceedings of the 1999; 02/1999
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    ABSTRACT: In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize established induced operator norms for linear dynamical systems with various classes of input-output signal pairs
    American Control Conference, 1999. Proceedings of the 1999; 02/1999
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    ABSTRACT: We develop Lyapunov and invariant set stability theorems for nonlinear impulsive dynamical systems. Furthermore, we generalize the dissipativity theory to nonlinear dynamical systems with impulsive effects. Specifically, the classical concepts of system storage functions and supply rates are extended to impulsive dynamical systems providing a generalized hybrid system energy interpretation in terms of stored energy, dissipated energy over the continuous-time system dynamics, and dissipated energy over the resetting instances. Furthermore, extended Kalman-Yakubovich-Popov conditions in terms of the impulsive system dynamics characterizing dissipativeness in terms of system storage functions are derived. Finally, the framework is specialized to passive and nonexpansive impulsive systems to provide a generalization of the classical notions of passivity and nonexpansivity
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on; 02/1999
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    ABSTRACT: In this paper we develop explicit formulas for induced convolution operator norms and their bounds. These results generalize the established induced operator norms for discrete-time linear systems with various classes of input-output signal pairs
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on; 02/1999
  • W.M. Haddad, V. Chellaboina
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    ABSTRACT: We extend the H<sub>2</sub>-based and mixed-norm H<sub>2</sub>/H <sub>∞</sub>-based positive real controller synthesis methods developed by Lozano-Leal et al.(1988) and Haddad et al. (1994) to nonlinear passive dynamical systems. Specifically, globally stabilizing static and dynamic output feedback nonlinear controllers are constructed for nonlinear passive systems that additionally minimize a nonlinear-nonquadratic performance criterion involving a nonlinear nonquadratic, nonnegative-definite function of the state and a quadratic positive-definite function of the control. In particular, by choosing the nonlinear-nonquadratic weighting functions in the performance criterion in a specified manner, the resulting static and dynamic controllers are guaranteed to be strictly passive. We show that the linearized controller for the linearized passive system is H<sub>2</sub> optimal. Finally, globally optimal, stabilizing static output feedback controllers for nonlinear passive systems that additionally guarantee a disturbance rejection constraint in the face of L<sub>2</sub> disturbances are also developed
    American Control Conference, 1999. Proceedings of the 1999; 02/1999
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    A. Leonessa, W.M. Haddad, H. Li
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    ABSTRACT: We develop a globally stabilizing stability-based switching controller strategy for a three-state lumped parameter centrifugal compressor surge model. The proposed model involves pressure and mass flow compression system dynamics as well as spool dynamics to account for the influence of speed transients on the compression surge dynamics. The proposed nonlinear switching controller architecture involves throttle and compressor torque regulation and is directly applicable to compression systems with actuator amplitude and rate saturation constraints
    Control Applications, 1999. Proceedings of the 1999 IEEE International Conference on; 02/1999
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    W.M. Haddad, J.R. Corrado, A. Leonessa
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    ABSTRACT: We develop linear, fixed-order (i.e., full and reduced-order) pressure rise feedback dynamic compensators for axial flow compressors. Unlike the nonlinear static controllers proposed in the literature possessing gain at all frequencies the proposed dynamic compensators explicitly account for compressor performance versus sensor accuracy, compressor performance versus processor throughput, and compressor performance versus disturbance rejection. Furthermore, the proposed controller is predicated on only pressure rise measurements, providing a considerable simplification in the sensing architecture over the bifurcation-based and backstepping controllers proposed in the literature
    Control Applications, 1999. Proceedings of the 1999 IEEE International Conference on; 02/1999
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    A. Leonessa, W.M. Haddad, V. Chellaboina
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    ABSTRACT: A nonlinear robust control-system design framework predicated on a hierarchical stability-based switching controller architecture is developed. Specifically, using equilibria-dependent Lyapunov functions a hierarchical nonlinear robust control strategy is developed that robustly stabilizes a given nonlinear system over a prescribed range of system uncertainty by robustly stabilizing a collection of nonlinear controlled uncertain subsystems
    American Control Conference, 1999. Proceedings of the 1999; 02/1999
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    ABSTRACT: A nonlinear control-system design framework predicated on an optimal hierarchical switching controller architecture is developed. Specifically, the hierarchical controller is parametrized with respect to a given system equilibrium manifold wherein an inverse optimal morphing strategy is constructed to coordinate the hierarchical switching. The overall approach is quite different from the quasi-variational inequality methods for optimal switching systems developed in the literature in that our results provide hierarchical homotopic feedback controllers guaranteeing closed-loop stability via an underlying Lyapunov function
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on; 02/1999
  • W.M. Haddad, V. Chellaboina, Weikun Wu
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    ABSTRACT: A unified optimality-based framework is developed to address the problem of nonlinear-nonquadratic discrete time systems with bounded exogeneous disturbances. Specifically, a nonlinear discrete time system with bounded input disturbances and a nonlinear nonquadratic performance functional evaluated over the infinite horizon is considered. The performance functional is then evaluated in terms of a Lyapunov function to guarantee stability and dissipativity with respect to general supply rates
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on; 01/1999

Publication Stats

4k Citations
350.14 Total Impact Points

Institutions

  • 1993–2014
    • Georgia Institute of Technology
      • School of Aerospace Engineering
      Atlanta, Georgia, United States
    • Northeastern University
      Boston, Massachusetts, United States
  • 2009
    • Indian Institute of Technology Madras
      Chennai, Tamil Nādu, India
    • India Innovation Labs
      Bengalūru, Karnātaka, India
  • 2008–2009
    • Texas Tech University
      • Department of Mechanical Engineering
      Lubbock, TX, United States
    • Tokyo Institute of Technology
      • Department of Mechanical and Environmental Informatics
      Edo, Tōkyō, Japan
  • 2006–2008
    • Villanova University
      • Department of Mechanical Engineering
      Norristown, Pennsylvania, United States
    • University of Tennessee
      • Department of Mechanical, Aerospace and Biomedical Engineering
      Knoxville, TN, United States
  • 1987–2007
    • Florida Institute of Technology
      • Department of Mechanical and Aerospace Engineering
      Melbourne, Florida, United States
    • Melbourne Institute of Technology
      Melbourne, Victoria, Australia
  • 2005
    • Emory University
      • Department of Anesthesiology
      Atlanta, GA, United States
    • Japan Science and Technology Agency (JST)
      Edo, Tōkyō, Japan
  • 2000–2005
    • University of Missouri
      • Department of Mechanical and Aerospace Engineering
      Columbia, MO, United States
  • 2001–2003
    • Florida Atlantic University
      Boca Raton, Florida, United States
  • 1994–2001
    • University of Michigan
      • Department of Aerospace Engineering
      Ann Arbor, MI, United States
  • 1999
    • Florida State University
      • Department of Mechanical Engineering
      Tallahassee, FL, United States
  • 1998
    • Università della Calabria
      Rende, Calabria, Italy
  • 1994–1996
    • Stanford University
      • • Department of Mechanical Engineering
      • • Department of Aeronautics and Astronautics
      Stanford, CA, United States
  • 1989–1994
    • Massachusetts Institute of Technology
      • Department of Aeronautics and Astronautics
      Cambridge, MA, United States
  • 1988–1992
    • Harris Corporation
      Melbourne, Florida, United States