Adaptive Suboptimal Regulation of Input Constrained Plants With Bounded Disturbances

This paper deals with adaptive regulation of a discrete-time linear time-invariant plant with arbitrary bounded disturbances whose control input is constrained to lie within certain limits. The adaptive control algorithm exploits the standard control strategy and the gradient projection type estimation procedure using the modified dead zone. The sufficient conditions guaranteeing the global asymptotical stability and simultaneously the suboptimality of the closed-loop systems are derived. Numerical examples and simulations are presented to support the theoretical results.