一类不确定非线性系统的有限时间输出调节方法  

Finite-time output regulation method for a class of uncertain nonlinear systems

作　　者：刘海涛 田雪虹 俞国燕 王贵 刘焕牢 

机构地区：[1]广东海洋大学机械与动力工程学院,广东湛江524088

出　　处：《电机与控制学报》2017年第10期108-115,共8页Electric Machines and Control

基　　金：广东省自然科学基金(2015A030310307);广东省高等学校优秀青年教师培养计划(YQ2015087);国家自然科学基金(51375100;41406041);广东省高等学校特色创新类项目(2015KTSCX059);广东海洋大学自然科学类项目(C15401);广东海洋大学创新强校项目(2014KQNCX081)

摘　　要：针对一类外系统是中性稳定的不确定非线性系统的输出调节问题,提出一种有限时间收敛的输出调节器的设计方法。该方法结合内模原理和有限时间稳定性理论,先根据输出调节问题可解的必要条件,将原受控系统和外系统的输出调节问题转化为增广系统的镇定问题;再利用动态面技术设计一种鲁棒有限时间稳定的镇定器,从而保证闭环系统的信号是全局最终有界的,并且使调节误差在有限的时间内收敛至任意给定的范围内。仿真结果说明了所设计调节器的有效性和可行性。To solve an output regulation problem of a class of uncertain nonlinear systems driven by a line- ar neutrally stable exosystem, a finite-time convergent output regulator design method is proposed. Ac- cording to the design, the internal model principle was combined with finite-time stability theorem. First- ly, based on necessary conditions of output regulation problem, the output regulation problem of the given plant and exosystem was transferred to a robust stabilization problem for the so-called augmented system. Secondly, a robust finite-time stable controller was designed by using the dynamic surface technique, which guaranteed all the closed-loop signals to be bounded and regulation errors to converge to an any given range in finite time. Simulation results show that the proposed regulator is effective and feasible.

关 键 词：非线性系统 有限时间稳定 输出调节 内模 动态面 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]