L2 Gain Analysis of Linear Parameter Varying Systems Based on Duality Theorem

概要

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This paper studies the L2 gain analysis problem of linear parameter varying systems. The primal/dual framework is exploited, and the duality theorem for an abstract linear programming problem with constraints described by an unbounded operator is established. If the system matrices are smooth in the scheduling parameter, the dual variables can be chosen from a separable space. This allows finite dimensional approximation without duality gap. Furthermore, when the system matrices are piecewise affine in the scheduling parameter, the problem can be cast as finite-dimensional LMI optimization problems.
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