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A number of problems in the analysis and design of control systems may be reformulated as the problem Of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affinely on the decision variables, subject to constraints that are linear matrix inequalities. For these generalized eigenvalue problems, there exist numerical algorithms that are guaranteed to be globally...
In this paper, we propose a robustness measure for LTI systems with causal, nonlinear diagonal perturbations with finite L2-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.
We describe an interior point algorithm for computing the upper bound for the structured singular value described in [1]. We demonstrate the performance of the algorithm on a simple example.
A new CAD method and associated architectures are proposed for linear controllers. The design method and architecture are based on recent results which parametrize all controllers which stabilize a given plant. With this architecture, the design of controllers is a convex programming problem which can be solved numerically. Constraints on the closed-loop system such as asymptotic tracking, decoupling,...
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