Studies on robust control and filter designs for dynamical systems

Abstract

The research reported in this thesis deals with the issue of robust newlinecontrol and filter designs for various kinds of continuous and discrete-time newlinedynamical systems. In particular, it aims to present research developments newlineon robust control and filtering of dynamical systems which are described by newlineMarkovian jump systems, Takagi-Sugeno fuzzy systems, switched systems, newlinenetworked control systems, singular systems and singular networked cascade newlinecontrol systems. These systems have the difficulties to deal with few factors newlinesuch as uncertainties, environmental disturbances, time delays, nonlinearities newlineand missing measurements. In this thesis, various kind of control strategies newlineare discussed, namely, fault-tolerant control, sampled-data control, resilient newlinecontrol and extended passivity-based control. Also, the filter is designed using newlinethe theory of reliability, passivity, dissipativity and, in addition, quantization newlinestrategies are employed. By using Lyapunov stability theory, set of sufficient newlineconditions are derived to obtain the required results. Such conditions are newlineestablished using linear matrix inequality approach, Jensens inequality, average newlinedwell time approach, Writinger-based integral inequality and Abel lemma-based newlinefinite-sum inequality.In this thesis, the problem of robust reliable dissipative filtering for newlineMarkovian jump nonlinear systems are initially addressed. Further, finite-time newlinemixed H¥ and passive filtering design for Takagi-Sugeno fuzzy Markovian jump newlinesystems and fuzzy switched systems are considered. Also, non-fragile filtering newlinedesign and quantized finite-time filtering design are discussed for singular newlineMarkovian jump systems subject to missing newline newline