Abstract
The problems of analysis and synthesis of linear discrete-time control systems subject to actuators amplitude saturation are addressed. The theoretical results are developed by using tools from the absolute stability theory for discrete-time systems. Algorithms based on the solution of linear matrix inequalities (LMIs) are proposed both for computing approximations of the basin of attraction for the closed loop system when the control law is given and for designing stabilizing state feedback control laws. Both the analysis and design procedures take into account the effective occurrence of saturation and the nonlinear behavior of the closed-loop system.
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