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Network-based H∞ tracking control with event-triggering sampling scheme

Network-based H∞ tracking control with event-triggering sampling scheme

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  • Author(s): S. Hu 1 ; Y. Zhang 2 ; Z. Du 3
    • View affiliations
    • Affiliations: 1: Department of Control Science and Engineering and the Key Laboratory of Ministry of Education for Image Processing and Intelligent Control, Huazhong University of Science and Technology, Wuhan, People’s Republic of China
      2: School of Electrical Engineering and Renewable Energy, Three Gorges University, Yichang, People’s Republic of China
      3: College of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang, People’s Republic of China
  • Source: Volume 6, Issue 4, 1 March 2012, p. 533 – 544
    DOI:  10.1049/iet-cta.2011.0055 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

In this study, H∞ tracking control design for a class of networked control systems (NCSs) with event-triggering sampling scheme is investigated. First, a novel event-triggering sampling scheme is proposed. Next, considering the network-induced delays and using such a triggering scheme together with delay system approach, a new tracking model of NCSs is established. Attention is focused on the design of H∞ controller that guarantees the prescribed H∞ tracking performance of the closed-loop-networked tracking system. Two approaches are developed to solve this problem, based on continuous Lyapunov function and discontinuous Lyapunov function, respectively. Moreover, the obtained results are further extended to the case that the system matrices of the plant contain parameter uncertainties, represented in either norm-bounded or polytopic forms. Finally, an illustrative example is presented to show the usefulness and applicability of the propose method.

Inspec keywords: H∞ control; Lyapunov matrix equations; continuous systems; networked control systems; control system synthesis; uncertain systems; delay systems; sampled data systems; closed loop systems

Other keywords: parameter uncertainties; event-triggering sampling scheme; delay system; network-based H∞ tracking control design; network-induced delays; continuous Lyapunov function; norm-bounded forms; discontinuous Lyapunov function; closed loop networked tracking system; polytopic forms; NCS tracking model; system matrices; networked control systems

Subjects: Distributed parameter control systems; Control system analysis and synthesis methods; Discrete control systems; Optimal control; Stability in control theory; Algebra

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