A Pole Placement-Based Output Tracking Control Scheme by Finite-and-Quantized Output Feedback

Abstract

This paper proposes a finite-and-quantized output feedback output tracking control scheme for possibly non-minimum phase discrete-time linear systems that are subject to output quantization and saturation. An analytical pole placement-based control law is proposed by solely utilizing the finite-and-quantized output and the external reference output. The closed-loop stability and output tracking analysis are essentially different from the classical pole placement method. It needs to overcome some new technical issues caused by finite-and-quantized output feedback, such as how to realize closed-loop stability while restricting the finite quantization of the output measurement. This paper demonstrates that by appropriately designing the quantizer’s sensitivity, the proposed control law ensures all closed-loop signals are bounded, and the output tracking error converges to a certain residual set of the origin within a certain finite time, regardless of the existence of unstable zeros and poles in the control systems. Particularly, the residual set can be arbitrarily small under a specified design condition. Finally, a representative example validates the proposed control scheme.