Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties
نویسنده
چکیده
*Correspondence: [email protected] Key Laboratory of Electronic Equipment Structure Design of Ministry of Education, Xidian University, Xi’an, China School of Civil & Environmental Engineering, University of New South Wales, Sydney, Australia Abstract This paper investigates the problems of robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties. Firstly, some sufficient conditions of the robust asymptotical stable for such fractional-order uncertain systems are derived. Secondly, the robust stabilizing state-feedback controller is designed. All the results are obtained in terms of linear matrix inequalities (LMIs). Lastly, three numerical examples are provided to demonstrate the correctness and effectiveness of the proposed approaches.
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