Title
Absolute Stability Conditions In A Fuzzy Phase-Lead Compensation And Their Extension To Mimo Systems
Abstract
This paper presents absolute stability conditions in a fuzzy phase-lead compensation and their extension to multi-input-multi-output (MIMO) systems. A theorem which realizes an effective phase-lead compensation is recalled. A so-called "transformation matrix" is derived in the theorem. A fuzzy phase-lead compensator (FPLC) is constructed by using the transformation matrix. The circle condition is employed to derive absolute stability conditions of feedback systems in a fuzzy phase-lead compensation. Next, a generalized class of FPLC's is defined, and its stability conditions are derived from the viewpoints of H-infinity norm and quadratic stability. It is found that the stability conditions realize stability analysis not only for single-input-single-output (SISO) systems, but also for MIMO systems.
Year
DOI
Venue
1998
10.1109/41.681233
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Keywords
Field
DocType
absolute stability, fuzzy control, fuzzy phase-lead compensation, multivariable systems, nonlinear systems
Mimo systems,Control theory,Fuzzy logic,Absolute stability,MIMO,Stability conditions,Control engineering,Fuzzy control system,Transformation matrix,Mathematics,Small-gain theorem
Journal
Volume
Issue
ISSN
45
2
0278-0046
Citations 
PageRank 
References 
2
0.39
3
Authors
2
Name
Order
Citations
PageRank
K. Tanaka12967377.99
Takayuki Ikeda220.39