/spl Hscr//sub 2/ control of uncertain discrete-time systems with regional pole constraints

This paper addresses the problem of /spl Hscr//sub 2/ control of uncertain discrete-time systems with regional pole constraints. All quadratic stabilizing state feedback controllers can be mapped into a convex set. By imposing on the elements of this set additional convex constraints, the associated control gain obtained guarantees a specific pole location to the closed-loop uncertain system. A convex optimization procedure is then used in order to minimize an upper bound of the /spl Hscr//sub 2/ norm of the controlled systems, providing thus an /spl Hscr//sub 2/ guaranteed cost control with regional pole constraints.<
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