On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems. (30th April 2008)

• Record Type: Journal Article
• Authors: Murty, M. S. N.; Kumar, G. Suresh
• Other Names: Ying Hao Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2008(2008)
• Publication Date: 2008-04-30
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2008/421525
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : 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.