Global Disturbance Rejection of Switched Nonlinear Systems with Switched Internal Model  

作　　者：LONG Lijun 

机构地区：[1]College of Information Science and Engineering, Northeastern University [2]State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University

出　　处：《Journal of Systems Science & Complexity》2018年第1期161-172,共12页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.61773100 and 61773098;IAPI Fundamental Research Funds under Grant No.2013ZCX03-02;Fundamental Research Funds for the Central Universities under Grant No.N150404024

摘　　要：This paper investigates the problem of global disturbance rejection for a class of switched nonlinear systems where the solvability of the disturbance rejection problem for subsystems is not assumed. The disturbances are assumed to be sinusoidal with completely unknown frequencies, phases and amplitudes. First, as an extension of the classic concept of internal model for non-switched systems, a switched internal model is proposed. Second, in order to solve the problem under study, an adaptive control method is established on the basis of the multiple Lyapunov functions method. Also,adaptive state-feedback controllers of subsystems are designed and incorporated with a switching law to asymptotically reject the unknown disturbances. Finally, an example is provided to demonstrate the effectiveness of the proposed design method.

关 键 词：Disturbance rejection multiple Lyapunov functions switched internal model switched nonlinear systems 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]