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ANALYSIS AND DESIGN OF SINGULAR MARKOVIAN JUMP SYSTEMS IBD

GUOLIANG WANG / QINGLING ZHANG / XINNGANG YA
SPRINGER
08 / 2014
9783319087221
Inglés

Sinopsis

This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H? control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat?s Lemma, among other techniques.Features of the book include:·áááááááá study of the stability problem for SMJSs with general transition rate matrices (TRMs),·áááááááá stabilization for SMJSsáby TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints,·áááááááá mode-dependent and mode-independent H? control solutions with development of a type of disordered controller,·áááááááá observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent,·áááááááá consideration of robust H? filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering·áááááááá development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corresponding closed-loop system states·áááááááá applications of Markov process on singular systems with norm bounded uncertainties and time-varying delaysAnalysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.