Robust Analysis and Synthesis for the Nonexistence of Periodic Solutions in a Class of Nonlinear Systems

P. L. Lu (), Y. Yang and L. Huang
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P. L. Lu: Peking University
Y. Yang: Peking University
L. Huang: Peking University

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 2, No 2, 205-216

Abstract: Abstract This paper considers the nonexistence of periodic solutions in a class of nonlinear uncertain systems. Based on the generalized Kalman–Yakubovich–Popov (GKYP) lemma, linear matrix inequalities (LMIs) characterizations are derived to guarantee the nonexistence of periodic solutions in a certain frequency range. The new LMI conditions do not involve any product of the Lyapunov matrix and the system matrices. Based on the results, a dynamic output feedback controller is designed to ensure the nonexistence of periodic solutions in such systems. A concrete application to the Chua circuit shows the applicability and validity of the proposed approach.

Keywords: LMIs; GKYP lemma; Polytopic uncertainty (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-007-9241-x

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