Quasi-time-dependent control for 2-D switched systems with actuator saturation

This paper is concerned with controller design for a class of two-dimensional (2-D) switched systems with actuator saturation, which are formulated by the well-known Fornasini-Marchesini local state-space (FMLSS) model. By constructing a quasi-time-dependent Lyapunov functional, the stability and ℓ2-gain analysis for 2-D switched systems are addressed firstly. Then, a set of state feedback controllers is designed, which is both quasi-time-dependent and mode-dependent. Compared with the time-independent criteria, the new results lead to less conservatism. The effectiveness and potential of our proposed methods are illustrated by a numerical example.