| Related citation: | Mao Wang,Jia Shi,Kan Liu.New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems[J].Journal of Harbin Institute Of Technology(New Series),2015,22(5):55-60.DOI:10.11916/j.issn.1005-9113.2015.05.009. |
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| New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Descriptor Systems |
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| Abstract: |
| The problems of stability and state feedback control for a class of discrete-time T-S fuzzy descriptor systems are investigated in this paper. Based on fuzzy Lyapunov function, a set of slack variables is introduced to remove the basic semi-definite matrix inequality condition to check the regularity, causality and stability of discrete-time T-S fuzzy descriptor systems; a new sufficient condition for the discrete-time T-S fuzzy descriptor systems to be admissible is proposed in terms of strict linear matrix inequalities (LMIs). And a sufficient condition is proposed for the existence of state feedback controller in terms of a set of coupled strict LMIs. Finally, an illustrative example is presented to demonstrate the effectiveness of the proposed approach. |
| Key words: T-S fuzzy descriptor systems parameter uncertainties stability state feedback control linear matrix inequality (LMI) |
| DOI：10.11916/j.issn.1005-9113.2015.05.009 |
| Clc Number:TP273 |
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