Analysis and Design of Singular Markovian Jump Systems by Guoliang Wang,Qingling Zhang,Xinggang Yan

By Guoliang Wang,Qingling Zhang,Xinggang Yan

This monograph is an updated presentation of the research and layout of singular Markovian leap structures (SMJSs) during which the transition cost matrix of the underlying platforms is usually doubtful, partly unknown and designed. the issues addressed comprise balance, stabilization, H∞ keep an eye on and filtering, observer layout, and adaptive regulate. purposes of Markov technique are investigated through the use of Lyapunov idea, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, between different techniques.

Features of the e-book include:

·         learn of the soundness challenge for SMJSs with basic transition price matrices (TRMs);

·         stabilization for SMJSs by TRM layout, noise regulate, proportional-derivative and partly mode-dependent keep an eye on, when it comes to LMIs with and with out equation constraints;

·         mode-dependent and mode-independent H∞ regulate ideas with improvement of a kind of disordered controller;

·         observer-based controllers of SMJSs during which either the designed observer and controller are both mode-dependent or mode-independent;

·         attention of strong H∞ filtering by way of doubtful TRM or clear out parameters resulting in a mode for absolutely mode-independent filtering

·         improvement of LMI-based stipulations for a category of adaptive nation suggestions controllers with almost-certainly-bounded envisioned mistakes and almost-certainly-asymptotically-stable corres

ponding closed-loop approach states

·         purposes of Markov method on singular platforms with norm bounded uncertainties and time-varying delays

Analysis and layout of Singular Markovian bounce Systems includes precious reference fabric for tutorial researchers wishing to discover the realm. The contents also are appropriate for a one-semester graduate course.

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