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Analysis and Design of Singular Markovian Jump Systems (Hardcover, 2015 ed.)
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Analysis and Design of Singular Markovian Jump Systems (Hardcover, 2015 ed.)
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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: * study of the
stability problem for SMJSs with general transition rate matrices
(TRMs); * stabilization for SMJSs by TRM design, noise control,
proportional-derivative and partially mode-dependent control, in
terms of LMIs with and without equation constraints; *
mode-dependent and mode-independent H control solutions with
development of a type of disordered controller; * observer-based
controllers of SMJSs in which both the designed observer and
controller are either mode-dependent or mode-independent; *
consideration of robust H filtering in terms of uncertain TRM or
filter parameters leading to a method for totally mode-independent
filtering * development of LMI-based conditions for a class of
adaptive state feedback controllers with almost-certainly-bounded
estimated error and almost-certainly-asymptotically-stable corres
ponding closed-loop system states * applications of Markov process
on singular systems with norm bounded uncertainties and
time-varying delays Analysis 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.
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