On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems

We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of the fuzzy dynamical matrix Lyapunov system an...

Full description

Saved in:
Bibliographic Details
Published inAdvances in Fuzzy Systems Vol. 2008; no. 1; pp. 12 - 27
Main Authors Murty, M. S. N., Kumar, G. Suresh
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.2008
Hindawi Publishing Corporation
Hindawi Limited
Online AccessGet full text

Cover

More Information
Summary:We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of the fuzzy dynamical matrix Lyapunov system and provide a sufficient condition for its controllability with the use of fuzzy rule base. The significance of our result is that given a deterministic system and a fuzzy state with rule base, we can determine the rule base for the control. Further, we discuss the concept of observability and give a sufficient condition for the system to be observable. The advantage of our result is that we can determine the rule base for the initial value without solving the system.
ISSN:1687-7101
1687-711X
DOI:10.1155/2008/421525