Robust Analysis and Synthesis for the Nonexistence of Periodic Solutions in a Class of Nonlinear Systems |
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| Authors: | P L Lu Y Yang L Huang |
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| Institution: | (1) State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Aerospace Technology, Peking University, Beijing, China |
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| 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.
This work was supported by the National Science Foundation of China under Grants 60404007 and 60334030. |
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| Keywords: | LMIs GKYP lemma Polytopic uncertainty |
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