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. (C) 2021 Elsevier Ltd. All rights reserved.