Multiple Models Approach In Automation. Takagi-Sugeno Fuzzy Systems
Much work on analysis and synthesis problems relating to the multiple model approach has already been undertaken
In recent years, a general approach based on multiple LTI models linear or affine around various function points has been proposed
The authors approach is essentially based on Lyapunov s second method and LMI formulation
This book concentrates on the analysis of the stability and synthesis of control laws and observations for multiple models
This has been motivated by the desire to establish the problems of control law synthesis and full state estimation in numerical terms
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
Uncertain multiple models with unknown inputs are studied and quadratic and non-quadratic Lyapunov functions are also considered.