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Title: Stability and robustness analysis of uncertain multivariable continuous-time nonlinear systems with digital fuzzy controller
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Keywords: Control system analysis
Digital control systems
Fuzzy control
Fuzzy sets
Mathematical models
Multivariable control systems
Robustness (control systems)
System stability
Uncertain systems
Issue Date: 1998
Publisher: IEEE
Source: The 1998 IEEE International Conference on Fuzzy Systems proceedings : IEEE World Congress on Computational Intelligence : May 4-May 9, 1998, Anchorage, Alaska, USA, p. 498-503 How to cite?
Abstract: This paper presents the analyses of the stability and robustness of multivariable continuous-time nonlinear systems subject to parameter uncertainties and with digital fuzzy controllers. To proceed with the analysis, first, an uncertain multivariable nonlinear plant will be represented by a fuzzy plant model with parameter uncertainties. Second, a digital fuzzy controller is designed to close the feedback loop. Third, the stability criteria, the robust area and the largest sampling period will be derived in terms of the matrix measures of the system parameters and the norms of the parameter uncertainties. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to show the stabilizability and robustness properties of the proposed digital fuzzy controller.
ISBN: 0-7803-4863-X
Rights: © 1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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