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Stabilization of Enforced Positive Switched Linear Systems with Bounded Controls

Jinjin Liu
International Journal of Control, Automation, and Systems, vol. 19, no. 2, pp.607-617, 2021

Abstract : This paper is concerned with the controller synthesis issue for enforced positive switched linear systems via output feedback. First, the stabilization problem is studied with output feedback under average dwell time switching signal, and the controllers we proposed guarantee stability and positivity of the closed-loop systems. Second, the output feedback stabilization issue is investigated by introducing special form of diagonal matrices, and the constraints on states and control inputs are solved based on limited initial conditions. Then, the derived conditions are described via linear programming, also extending the theoretical findings to constrained output issue. Finally, the simulation results demonstrate the feasibility of the control strategy.

Keyword : Bounded control, linear programming, output feedback, positive system, switched linear systems

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