Finite-time output feedback stabilization of planar switched systems with/without an output constraint

An output feedback control strategy is presented in this paper to make planar switched systems with or without an output constraint finite-time stable. By incorporating a common constructed tangent-type barrier Lyapunov function, the so-called adding a power integrator technique is revamped to design state feedback controllers systematically. Then, reduced-order switched observers are constructed deliberately so that the finite-time output feedback stabilization of planar switched systems can be realized with the output constraint guaranteed. The method proposed in this paper is in a unified form in the sense that, with no need of changing controllers and observers structures, it works for planar switched systems with or without an output constraint.