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Stabilizing periodic orbits in forced nonlinear systems: an LMI-based synthesis technique

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3 Author(s)
M. Basso ; Dipt. di Sistemi e Inf., Univ. di Firenze, Italy ; R. Genesio ; L. Giovanardi

The paper considers the problem of designing controllers to stabilize periodic orbits in a class of sinusoidally forced nonlinear systems. This problem is formulated as an absolute stability problem of a linear periodic feedback system, in order to employ the circle criterion. In this setting, we provide an LMI-based synthesis of the optimal stabilizing controller, i.e., the one ensuring the largest obtainable stability bounds

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Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference  (Volume:3 )

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