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Robust fixed-order H controller design for spectral models by convex optimization

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3 Author(s)
Karimi, A. ; Lab. d''Autom., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland ; Galdos, G. ; Longchamp, R.

A new approach for robust fixed-order H controller design by convex optimization is proposed. Linear time-invariant single-input single-output systems represented by a finite set of complex values in the frequency domain are considered. It is shown that the H robust performance condition can be approximated by a set of linear or convex constraints with respect to the parameters of a linearly parameterized controller in the Nyquist diagram. Multimodel and frequency-domain uncertainty can be directly considered in the proposed approach by increasing the number of constraints. The proposed method is compared with the standard H control problem. It is shown by an example that for an unstable uncertain model, a PID controller can be designed with the proposed approach which gives better H performance than a 7th order unstable controller obtained by the standard H solution.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008