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.