MIMO仿射型极值搜索系统的输出反馈滑模控制  

Output-feedback sliding mode control for MIMO affine extremum seeking systems

作　　者：左斌[1] 张雷[2] 李静[3] 

机构地区：[1]北京航空航天大学仪器科学与光电工程学院,北京100083 [2]海军航空工程学院研究生管理大队,烟台264001 [3]海军航空工程学院战略导弹工程系,烟台264001

出　　处：《北京航空航天大学学报》2016年第4期718-727,共10页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金(60674090);中国博士后科学基金(2013M542480)~~

摘　　要：针对一类多输入多输出(MIMO)仿射型非线性极值搜索系统的控制问题,提出了一种输出反馈滑模控制方法。将原系统分解为若干个单输入单输出(SISO)极值搜索子系统,并针对每个极值搜索子系统,考虑到系统状态量不可测的特点,以斜坡函数作为新系统输出量的参考跟踪信号,采用输出跟踪误差以及该误差符号函数的积分值建立切换函数,设计得到基于输出反馈的滑模极值搜索控制律。稳定性分析证明:在任意初始条件下,本文方法可使系统的输出量全局收敛至期望极值的任意小邻域内,并且所有状态量均一致范数有界。仿真结果验证了本文方法的有效性。An output-feedback sliding mode control method is proposed for a class of multi-input multioutput（ MIMO） affine nonlinear extremum seeking systems. Firstly,the original MIMO affine nonlinear extremum seeking system is decomposed into several single-input single-output（ SISO） extremum seeking subsystems. Considering the subsystem＇s states are unmeasurable,the control method uses a simple ramp time function as the reference signal of the subsystem ＇s output,constructs the sliding mode manifold by the output tracking error and the integral of the sign function of the tracking error,and designs the output-feedback extremum seeking control law with sliding mode. The stability analysis shows that the MIMO nonlinear seeking extremum system with the proposed control method is possible to achieve an arbitrarily small neighborhood of the desired optimal point under all initial conditions,and all the states in the closed-loop system remain uniformly bounded. Simulation results are presented to illustrate the effectiveness of the control method.

关 键 词：仿射型非线性系统 极值搜索系统 输出反馈 滑模控制 一致有界 

分 类 号：TP273.23[自动化与计算机技术—检测技术与自动化装置]