Optimal tracking performance of discrete-time systems with quantization
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Authors
Chao-Yang Chen
- School of Information Science and Engineering, Central South University, Changsha, 410012, P. R. China.
- School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, P. R. China.
Weihua Gui
- School of Information Science and Engineering, Central South University, Changsha, 410012, P. R. China.
Shaowu Zhou
- School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, P. R. China.
Zhi-Wei Liu
- College of Automation, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China.
Zhi-Hong Guan
- College of Automation, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China.
Ning Gui
- School of Information, Zhejiang Sci-Tech University, Hangzhou, 310018, P. R. China.
Abstract
This paper studies optimal tracking performance issues for linear time invariant system with two-channel constraints. The
specific problem under consideration is quantization for up-link and down-link communication channel which satisfies some
constraints. Logarithmic quantization law is employed in the quantizers. The tracking performance is defined in an square
sense, and the reference signal under consideration in this paper is a step signal. The system’s reference signal is considered
as a step signal. The tracking performance is measured by the minimum mean square error between the reference input and
the system’s output. By using dynamic programming approach, discrete-time algebraic Riccati equation (ARE) is obtained. The
optimal tracking performance is obtained by output feedback control, in terms of the space equation of the given system and the
unique solution of the discrete-time algebraic Riccati equation. And, the impact of quantizer for optimal tracking performance
is analyzed. Finally, simulation example is given to illustrate the theoretical results.
Share and Cite
ISRP Style
Chao-Yang Chen, Weihua Gui, Shaowu Zhou, Zhi-Wei Liu, Zhi-Hong Guan, Ning Gui, Optimal tracking performance of discrete-time systems with quantization, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1873--1880
AMA Style
Chen Chao-Yang, Gui Weihua, Zhou Shaowu, Liu Zhi-Wei, Guan Zhi-Hong, Gui Ning, Optimal tracking performance of discrete-time systems with quantization. J. Nonlinear Sci. Appl. (2017); 10(4):1873--1880
Chicago/Turabian Style
Chen, Chao-Yang, Gui, Weihua, Zhou, Shaowu, Liu, Zhi-Wei, Guan, Zhi-Hong, Gui, Ning. "Optimal tracking performance of discrete-time systems with quantization." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1873--1880
Keywords
- Optimal tracking performance
- quantization
- two-channel constraints
- discrete-time systems
- algebraic Riccati equation (ARE).
MSC
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