Asymptotic stabilization of dynamically quantized nonlinear systems in feedforward form

作     者：Qiang LING Michael D. LEMMON Hai LIN 

作者机构：Department of Automation University of Science and Technology of China Hefei Anhui 230027 China Department of Electrical Engineering University of Notre Dame Notre Dame IN 46556 USA Department of Electrical and Computer Engineering National University of Singapore Singapore 117576 

出 版 物：《控制理论与应用（英文版）》 (控制理论与应用)

年 卷 期：2010年第8卷第1期

页      面：27-33页

核心收录：

学科分类：07[理学] 08[工学] 071102[理学-系统分析与集成] 0711[理学-系统科学] 0810[工学-信息与通信工程] 081104[工学-模式识别与智能系统] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 0835[工学-软件工程] 081002[工学-信号与信息处理] 0811[工学-控制科学与工程] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation of China(No.60904012) the Natural Science Foundation of Anhui Province(No.090412050) the Talent Development Program of Anhui Province(No.2008Z012) 

主　　题：Quantization Stability Nonlinear Feedforward 

摘      要：This paper studies the stabilizability of an n-dimensional quantized feedforward nonlinear system. The state of that system is first quantized into a finite number of bits, and then sent through a digital network to the controller. We want to minimize the number of transmitted bits subject to maintaining asymptotic stability. In the prior literature, n bits are used to stabilize the n-dimensional system by assigning one bit to each state variable （dimension）. Under the stronger assumption of global Lipschitz continuity, this paper extends that result by stabilizing the system with a single bit. Its key contribution is a dynamic quantization policy which dynamically assigns the single bit to the most ＂important＂ state variable. Under this policy, the quantization error exponentially converges to 0 and the stability of the system can, therefore, be guaranteed. Because i is the minimum number of quantization bits （per sampling step）, the proposed dynamic quantization policy achieves the minimum stabilizable bit number for that n-dimensional feedforward nonlinear system.