A BMI Optimization Approach to Robust Output-Feedback Control

Reference

S. Kanev, C. Scherer, M. Verhaegen, and B. De Schutter, "A BMI optimization approach to robust output-feedback control," Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, pp. 851-856, Dec. 2003.

Abstract

In this paper a new approach is proposed to design locally optimal robust output-feedback controllers. It is iterative by nature, and starting from any initial feasible controller it performs local optimization over a suitably defined non-convex function at each iteration. The approach features the properties of computational efficiency, guaranteed convergence to a local optimum, and applicability to a very wide range of problems. The paper also proposes a fast procedure for initially feasible controller computation based on LMIs. The design objectives considered are H2, H, and pole-placement constraints. The procedure consists of two steps: first an optimal robust mixed H2/H/pole-placement state-feedback gain is designed, which is consequently kept fixed at the second step during the design of the remaining controller matrices. The approach is demonstrated on a model of one joint of a real-life space robotic manipulator.

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BibTeX

@inproceedings{KanSch:03-004,
   author    = {Kanev, Stoyan and Scherer, Carsten and Verhaegen, Michel and De
                Schutter, Bart},
   title     = {A {BMI} Optimization Approach to Robust Output-Feedback
                Control},
   booktitle = {Proceedings of the 42nd IEEE Conference on Decision and
                Control},
   address   = {Maui, Hawaii},
   pages     = {851--856},
   month     = dec,
   year      = {2003}
   }


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