Control synthesis for switched systems with control and state constraints

In this paper, a new interpolation based control is developed for constrained control of switched linear discrete-time systems. The interpolation is done between a global gain-scheduled vertex controller and a local gain-scheduled stabilizing controller in order to achieve both the large domain of attraction and performance. At each time instant a linear programming problem is solved on-line. Proofs of recursive feasibility and asymptotic stability are given.

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