Multiple Models Approach in Automation

Takagi-Sugeno Fuzzy Systems

Nonfiction, Science & Nature, Technology, Electronics
Cover of the book Multiple Models Approach in Automation by Mohammed Chadli, Pierre Borne, Wiley
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Author: Mohammed Chadli, Pierre Borne ISBN: 9781118577226
Publisher: Wiley Publication: December 14, 2012
Imprint: Wiley-ISTE Language: English
Author: Mohammed Chadli, Pierre Borne
ISBN: 9781118577226
Publisher: Wiley
Publication: December 14, 2012
Imprint: Wiley-ISTE
Language: English

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.

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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.

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