Fuzzy Logic Control System Stability Analysis Based on Lyapunov’s Direct Method
A stability analysis method for nonlinear processes controlled by Takagi- Sugeno (T-S) fuzzy logic controllers (FLCs) is proposed. The stability analysis of these fuzzy logic control systems is done in terms of Lyapunov’s direct method. The stability theorem presented here ensures sufficient conditi...
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Veröffentlicht in: | International Journal of Computers Communications & Control 2009-12, Vol.4 (4), p.415 |
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creator | Precup, Radu-Emil Tomescu, Marius-Lucian Preitl, Ștefan |
description | A stability analysis method for nonlinear processes controlled by Takagi- Sugeno (T-S) fuzzy logic controllers (FLCs) is proposed. The stability analysis of these fuzzy logic control systems is done in terms of Lyapunov’s direct method. The stability theorem presented here ensures sufficient conditions for the stability of the fuzzy logic control systems. The theorem enables the formulation of a new stability analysis algorithm that offers sufficient stability conditions for nonlinear processes controlled by a class of T-S FLCs. In addition, the paper includes an illustrative example that describes one application of this algorithm in the design of a stable fuzzy logic control system. |
doi_str_mv | 10.15837/ijccc.2009.4.2457 |
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subjects | Algorithms Control stability Control systems Fuzzy control Fuzzy logic Fuzzy systems Nonlinear control Stability analysis Systems stability Theorems |
title | Fuzzy Logic Control System Stability Analysis Based on Lyapunov’s Direct Method |
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