Multiple Models Approach in Automation

Much work on analysis and synthesis problems relating to themultiple model approach has already been undertaken. This has beenmotivated by the desire to establish the problems of control lawsynthesis 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 beenproposed. This so-called multiple model approach is a convexpolytopic representation, which can be obtained either directlyfrom a nonlinear mathematical model, through mathematicaltransformation or through linearization around various functionpoints.
This book concentrates on the analysis of the stability andsynthesis of control laws and observations for multiple models. Theauthors' approach is essentially based on Lyapunov'ssecond method and LMI formulation. Uncertain multiple models withunknown inputs are studied and quadratic and non-quadratic Lyapunovfunctions are also considered.