This paper proposes a model reference control (MRC) scheme for general discrete-time linear time-invariant (LTI) systems subject to output quantization and saturation. In such a scheme, the quantized-output feedback MRC law is analytically specified only by using external reference input and saturated-and-quantized output. It is proven that, by appropriately designing the sensitivity of the quantizer, the MRC law can ensure that all closed-loop signals are bounded and the output tracking error converges to a certain small residual set in a certain finite time only under the minimum-phase condition. Particularly, the proposed MRC scheme does not rely on the coprimeness of zero and pole polynomials or initial conditions that are commonly used in the related literature. A representative example is given to demonstrate the design procedure and verify the validity of the proposed MRC scheme.

　　Publication: 

　　Automatica, Volume 137, Article 110027, March 2022. 

　　Author: 

　　Yanjun Zhang 

　　School of Automation, Beijing Institute of Technology, Beijing 100081, China 

　　Email: yanjun@bit.edu.cn  

　　Ji-Feng Zhang 

　　Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 

　　School of Mathematics Sciences, University of Chinese Academy of Sciences, Bejing 100149, China 

　　Email: jif@iss.ac.cn  

　　Xiao-Kang Liu 

　　School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China 

　　Email: xkliuhust@hotmail.com  

　　Zhen Liu 

　　Integrated Information System Research Center, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China 

　　Email: liuzhen@ia.ac.cn