Much work on analysis and synthesis problems relating to the
multiple model approach has already been undertaken. This has been
motivated by the desire to establish the problems of control law
synthesis and full state estimation in numerical terms.In recent
years, a general approach based on multiple LTI models (linear or
affine) around various function points has been proposed. This
so-called multiple model approach is a convex polytopic
representation, which can be obtained either directly from a
nonlinear mathematical model, through mathematical transformation
or through linearization around various function points.This book
concentrates on the analysis of the stability and synthesis of
control laws and observations for multiple models. The authors'
approach is essentially based on Lyapunov's second method and LMI
formulation. Uncertain multiple models with unknown inputs are
studied and quadratic and non-quadratic Lyapunov functions are also
considered.
General
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