H∞ Controller Design for Spectral MIMO Models by Convex Optimization

• Published in: Journal of Process Control (ISSN: 0959-1524), vol. 20, num. 10, p. 1175-1182
• Elsevier, 2010

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.

Keywords: Convex Optimization; H∞ control; MIMO system

Reference

• LA-ARTICLE-2010-002
• doi:10.1016/j.jprocont.2010.07.006
• View record in Web of Science

Record created on 2010-02-11, modified on 2012-03-21