Robust Stabilization for Constrained Switched Positive Linear Systems with Uncertainties and Delays

This paper is concerned with robust stabilization problem by constrained state feedback control of switched linear systems with uncertainties and time delays. The synthesis of nonnegative state feedback controllers while imposing positivity and stability on closed-loop system is firstly addressed for systems with interval uncertainty description. Then this result is extended to the robust stabilization issue by bounded controls and constrained states. Also the synthesis of bounded controls is solved for systems with polytopic uncertainties. The proposed conditions are formulated as linear programming form. An example is employed to illustrate the effectiveness of the established results.