Stability Analysis and Switching Law Design of Time-delay Switched Systems

• Main Authors: Cheng, Chun-Ming, 鄭俊明
• Other Authors: Chiou, Juing-Shian
• Format: Others
• Language: en_US
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/49128579921457001770

博士 === 南台科技大學 === 機電科技研究所 === 97 === This dissertation attempts to investigate the stability and switching law design of time-delay switched systems. Two approaches are used to construct the switching laws for the stability analysis of time-delay switched systems. One is the time-driven switching method; the other is state-driven. The time-driven switching method is that the total activation time ratio of stable individual systems to unstable individual systems will be determined via the state solution. The sufficient stability conditions with delay-independent criteria and delay-dependent criteria have been derived. Besides, this method and results can be extended to uncertain time-delay switched systems and time-delay large-scale switched systems. The state-driven switching method uses Lyapunov stability theorem to construct a state-driven switching strategy such that the time-delay switched system is asymptotically stable. The sufficient stability conditions with delay-independent criteria and delay-dependent criteria have been derived. In particular, the present results demonstrated that this approach can be adopted even when individual systems are all unstable. Moreover, this method and results can be extended to time-delay large-scale switched systems.