Summary: | 碩士 === 國立高雄應用科技大學 === 電機工程系 === 99 === The problem of robust delay-dependent state feedback and state feedback controllers design for uncertain singular systems with arbitrary finite number multiple time-delays is investigated in this thesis. The resulting LMI sufficient conditions for the stability of the systems are succinct. The uncertainties under consideration are norm-bounded. In terms of linear matrix inequality (LMI) approach, the delay-dependent bounded real lemma (BRL) is presented to ensure the systems to be regular, impulse free, and stable via an augmented Lyapunov- Krasovskii functional and the free-weighting matrix method. Based on this criterion obtained, the delay-dependent sufficient condition for the existence of state feedback controller is presented via strict LMI. Numerical examples are presented to illustrate the effectiveness of the proposed approach.
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