Control and Optimization of Sampled-Data Systems with Quantization and Actuator Saturation  

作　　者：SHAO Hanyong ZHAO Jianrong 

机构地区：[1]Institute of Automation, Qufu Normal University, Qufu 273165, China

出　　处：《Journal of Systems Science & Complexity》2017年第6期1242-1257,共16页系统科学与复杂性学报（英文版）

基　　金：supported by the Natural Science Foundation of China under Grant Nos.61374090,and 61473171;the Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province;the Taishan Scholarship Project of Shandong Province

摘　　要：This paper is concerned with control and optimization for a sampled-data system with quantization and actuator saturation. Based quantization and actuator saturation a controller is introduced. The corresponding closed loop system is transformed into a system with input saturation and bounded external disturbance. A new Lyapunov functional is constructed to derive a sample-interval dependent condition on the existence of a state feedback controller such that the closed-loop system is exponentially convergent to an ultimate ellipsoid for the initial condition starting from some initial ellipsoid. Based on the condition, the desired controller is designed. Furthermore, optimization problems about the sample-interval, the ultimate ellipsoid and the initial ellipsoid are formulated. An example is given to illustrate the effectiveness of the proposed method.This paper is concerned with control and optimization for a sampled-data system with quantization and actuator saturation. Based quantization and actuator saturation a controller is introduced. The corresponding closed loop system is transformed into a system with input saturation and bounded external disturbance. A new Lyapunov functional is constructed to derive a sample-interval dependent condition on the existence of a state feedback controller such that the closed-loop system is exponentially convergent to an ultimate ellipsoid for the initial condition starting from some initial ellipsoid. Based on the condition, the desired controller is designed. Furthermore, optimization problems about the sample-interval, the ultimate ellipsoid and the initial ellipsoid are formulated. An example is given to illustrate the effectiveness of the proposed method.

关 键 词：Actuator saturation exponential converge QUANTIZATION sampled-data system 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]