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H∞ Control for stochastic stability and disturbance attenuation in a class of networked hybrid systems

H∞ Control for stochastic stability and disturbance attenuation in a class of networked hybrid systems

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  • Author(s): J. Yao 1 ; F. Lin 2 ; B. Liu 3
    • View affiliations
    • Affiliations: 1: Department of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai, People's Republic of China
      2: Department of Electrical and Computer Engineering, Wayne State University, Detroit, USA
      3: Department of Information Engineering, Australian National University, Canberra, Australia
  • Source: Volume 5, Issue 15, 13 October 2011, p. 1698 – 1708
    DOI:  10.1049/iet-cta.2010.0499 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

The authors study H∞ control for stochastic stability and disturbance attenuation (SSDA) in a class of networked hybrid systems (NHS). A hybrid system has both continuous variables and discrete events. A NHS consists of a set of subsystems that are coupled together. Both continuous dynamics and coupling among subsystems change as events occur. When an event occurs stochastically, the continuous state variables may jump from one value to another. Using the stochastic Lyapunov functional approach, sufficient conditions on the existence of an H∞ state-feedback controller that ensures stochastic stability and H∞ disturbance attenuation for NHS with and without time delays are obtained. The derived conditions are expressed in terms of solutions of appropriate algebraic inequalities. A new approach to the design of such a controller is then presented. An illustrative example of a unified chaotic network with randomly jumping parameters is used to demonstrate the satisfactory control performance.

Inspec keywords: networked control systems; continuous systems; H∞ control; Lyapunov methods; stochastic systems; control system synthesis; algebra; state feedback

Other keywords: continuous state variable; controller design; disturbance attenuation; algebraic inequalities; stochastic stability; networked hybrid system; stochastic Lyapunov functional approach; unified chaotic network; H∞ control; state-feedback controller

Subjects: Control system analysis and synthesis methods; Algebra; Optimal control; Time-varying control systems; Stability in control theory

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