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|Title: ||Stability analysis of T-S fuzzy-model-based control systems using fuzzy Lyapunov function|
|Authors: ||Lam, H. K.|
Lai, J. C. Y.
Leung, Frank H. F.
|Subjects: ||Control system analysis|
Control system stability
Identification (control systems)
Linear control systems
Linear matrix inequalities
Probability density function
|Issue Date: ||2008 |
|Citation: ||FUZZ-IEEE 2008 : 2008 IEEE International Conference on Fuzzy Systems, 1-6 June 2008, Hong Kong, p. 931-938.|
|Abstract: ||This paper investigates the system stability of T-S fuzzy-model-based control systems based on an improved fuzzy Lyapunov function. Various non-PDC fuzzy controllers are proposed to close the feedback loop. The characteristic of T-S fuzzy model is considered to facilitate the stability analysis. Under a particular case, the time-derivative information of the membership functions vanishes, which simplifies the stability analysis and leads to relaxed stability analysis results. A general case is then considered. An improved non-PDC fuzzy controller is proposed based on the properties of the T-S fuzzy model. The improved non-PDC fuzzy controller exhibits a favourable property to relax the stability conditions. Based on the fuzzy Lyapunov function, stability conditions in terms of linear matrix inequalities are derived to guarantee the system stability. Simulation examples are given to illustrate the effectiveness of the proposed non-PDC fuzzy control schemes.|
|Rights: ||© 2008 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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|Type: ||Conference Paper|
|Appears in Collections:||EIE Conference Papers & Presentations|
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