In this paper, some methods allowing the control law design for uncertain linear systems based on the quadratic stabilizability concept are presented. Introducing a convex parameterization of the quadratic stabilizing gains class, it is possible to define a convex optimisation problem for control law determination. In this direction, some classical control problems namely, stabilization, LQ design, pole placement, are solved for uncertain systems.
uncertain linear systems, quadratic stability, convex parameterization
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