Controller design of switching sampled system with actuator saturation

In this paper, static output feedback (SOF) control problem has be conducted for switching sampled systems with actuator saturation in the H^∞ setting. Switching sampled system is a hybrid system that consists of continuous-time system and discrete-time system. It is more precise to describe the practical digital control system. Traditionally, the sufficient conditions for the existence of such H^∞ controller are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequalities. In general, there is no analytic solution for this nonlinear partial differential inequalities with jumps. Using some transformations, the H^∞ SOF controller design problem with actuator saturation is expressed in terms of an eigenvalue problem (EVP) which can be efficiently solved using the LMI toolbox in Matlab. By solving the EVP, the stability and robustness of the system can be guaranteed with a maximization of the estimation of the domain of attraction. Eventually, the H^∞ SOF control problem is solved by LMI approach for the switching sampled systems with less consevative.