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Showing total 202 results
Start Over Topic 0202 electrical engineering, electronic engineering, information engineering Topic general mathematics Topic lcsh:ta1-2040 Topic mathematics Publisher hindawi limited
202 results

201. Delay-Dependent Stability Analysis of Uncertain Fuzzy Systems with State and Input Delays under Imperfect Premise Matching

Author

Xiao-Zhi Gao, Xianlin Huang, Kai Zenger, and Zejian Zhang

Subjects
Lyapunov function, 0209 industrial biotechnology, Mathematical optimization, Article Subject, Stability criterion, General Mathematics, lcsh:Mathematics, General Engineering, Stability (learning theory), 02 engineering and technology, Fuzzy control system, lcsh:QA1-939, Defuzzification, Fuzzy logic, symbols.namesake, 020901 industrial engineering & automation, Control theory, lcsh:TA1-2040, 0202 electrical engineering, electronic engineering, information engineering, symbols, Fuzzy set operations, Fuzzy number, 020201 artificial intelligence & image processing, lcsh:Engineering (General). Civil engineering (General), Mathematics
Abstract

This paper discusses the stability and stabilization problem for uncertain T-S fuzzy systems with time-varying state and input delays. A new augmented Lyapunov function with an additional triple-integral term and different membership functions of the fuzzy models and fuzzy controllers are introduced to derive the stability criterion, which is less conservative than the existing results. Moreover, a new flexibility design method is also provided. Some numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed method.

Published
2013

202. Stability and stabilization of continuous descriptor systems: An LMI approach

Author

Olivier Bachelier, Mansour Souissi, Mohamed Chaabane, Driss Mehdi, Lab-STA, École Nationale d'Ingénieurs de Sfax | National School of Engineers of Sfax (ENIS), Laboratoire d'Automatique et d'Informatique Industrielle (LAII), and Université de Poitiers

Subjects
0209 industrial biotechnology, General Mathematics, Descriptor systems, lcsh:Mathematics, General Engineering, Linear matrix inequality, Stability (learning theory), 02 engineering and technology, lcsh:QA1-939, 020901 industrial engineering & automation, Control theory, lcsh:TA1-2040, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, [INFO]Computer Science [cs], lcsh:Engineering (General). Civil engineering (General), Mathematics
Abstract

This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.

Published
2006