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$$\mathscr {H}_\infty $$ Filtering for Discrete-Time Nonlinear Systems

In: Dynamic Systems with Time Delays: Stability and Control

Author

Listed:
  • Ju H. Park

    (Yeungnam University, Department of Electrical Engineering)

  • Tae H. Lee

    (Chonbuk National University, Division of Electronic Engineering)

  • Yajuan Liu

    (North China Electric Power University, Control and Computer Engineering)

  • Jun Chen

    (Jiangsu Normal University, School of Electrical Engineering and Automation)

Abstract

This chapter is concerned with the $$\mathscr {H}_\infty $$ problem for a class of nonlinear systems. It is supposed that the time delay belongs to a given interval, and the designed filter has additive gain variation satisfying Bernoulli distribution. A sufficient condition is established to guarantee asymptotically mean-square stable of the filtering error systems with a prescribed $$\mathscr {H}_\infty $$ performance. Furthermore, an improved result of $$\mathscr {H}_\infty $$ filtering for a linear system is also obtained. The filter parameters are obtained by solving a set of linear matrix inequalities. Two examples, which includes a longitudinal flight system, are given to show the effectiveness of the proposed method.

Suggested Citation

  • Ju H. Park & Tae H. Lee & Yajuan Liu & Jun Chen, 2019. "$$\mathscr {H}_\infty $$ Filtering for Discrete-Time Nonlinear Systems," Springer Books, in: Dynamic Systems with Time Delays: Stability and Control, chapter 11, pages 251-270, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-9254-2_11
    DOI: 10.1007/978-981-13-9254-2_11
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