On Maximizing a Robustness Measure for Structured Nonlinear Perturbations

L. El Ghaoui, V. Balakrishnan, E. Feron, and S. Boyd

Proceedings American Control Conference, 4:2923-24, June 1992.

In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L_2-gain. We propose an algorithm to reliably compute this quantity. We show how to find a state-feedback controller that achieves the global maximum of the robustness measure.