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

Ju H. Park (), Tae H. Lee, Yajuan Liu and Jun Chen
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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

Chapter 11 in Dynamic Systems with Time Delays: Stability and Control, 2019, pp 251-270 from Springer

Abstract: 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.

Keywords: Nonlinear discrete-time systems; Interval time-delay; Non-fragile filter; Randomly occurring gain variations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-9254-2_11

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DOI: 10.1007/978-981-13-9254-2_11

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