Quantized Feedback Stabilization of Linear Discrete-Time Systems with Constraints

Abstract

This paper addresses quantization of control systems. The state of the system is quantized via a quantizer. In addition, constraints on input and/or state are considered explicitly. For a linear system with no constraint, some quantized feedback control methods have been proposed. In this paper, a control methodology for the constrained system is proposed. Specifically, an idea of a positively invariant set is introduced so that the performance is improved while the constraints are satisfied. The effectiveness of the proposed method is verified through both simulation and experiment.