Passivity analysis and passive control for uncertain discrete switched time-delay systems via a simple switching signal design
Autor: | Jenq-Der Chen, Long-Yeu Chung, Chang-Hua Lien, Ker-Wei Yu |
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Rok vydání: | 2016 |
Předmět: |
0209 industrial biotechnology
Algebra and Number Theory Partial differential equation Applied Mathematics Passivity 02 engineering and technology Interval (mathematics) Passive control 020901 industrial engineering & automation Switching signal Simple (abstract algebra) Control theory Ordinary differential equation 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Analysis Mathematics |
Zdroj: | Advances in Difference Equations. 2016 |
ISSN: | 1687-1847 |
DOI: | 10.1186/s13662-016-0821-7 |
Popis: | In this paper, we consider the problem for passivity analysis and passive control of uncertain discrete switched systems with interval time-varying delay and linear fractional perturbations via a simple switching signal design. A new Lyapunov-Krasovskii functional is used to propose some LMI conditions that design the switching signal to guarantee the passivity and passive switching control of discrete switched time-delay systems. Jensen and Park inequalities combined with delay-partitioning approach are investigated to improve the conservativeness of the obtained results. Finally, some numerical examples and a water quality model illustrate the main proposed results. |
Databáze: | OpenAIRE |
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