H∞ Controller Design for Spectral MIMO Models by Convex Optimization

A new method for robust fixed-order H∞ controller design by convex optimization for multivariable systems is investigated. Linear Time-Invariant Multi-Input Multi- Output (LTI-MIMO) systems represented by a set of complex values in the frequency domain are considered. It is shown that the Generalized Nyquist Stability criterion can be approximated by a set of convex constraints with respect to the parameters of a multivariable linearly parameterized controller in the Nyquist diagram. The diagonal elements of the controller are tuned to satisfy the desired performances, while simultaneously, the off-diagonal elements are designed to decouple the system. Multimodel uncertainty can be directly considered in the proposed approach by increasing the number of constraints. A simulation example illustrates the effectiveness of the proposed approach. by a simulation example on an unstable system.


Published in:
Journal of Process Control, 20, 10, 1175-1182
Year:
2010
Publisher:
Elsevier
ISSN:
0959-1524
Keywords:
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 Record created 2010-02-11, last modified 2018-01-28

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