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一类离散系统基于偏差分离的输出反馈控制
引用本文:陈贞丰,章云,杨玲玲,刘治. 一类离散系统基于偏差分离的输出反馈控制[J]. 数学的实践与认识, 2012, 42(12): 194-201
作者姓名:陈贞丰  章云  杨玲玲  刘治
作者单位:广东工业大学自动化学院,广东广州,510006
基金项目:国家自然科学基金,广东省自然科学基金,教育部霍英东青年教师基金,广东省高等学校高层次人才项目
摘    要:针对一类不确定离散系统,提出一种基于偏差分离的输出反馈双控制策略,首先设计动态输出反馈控制器镇定其标称系统(即不确定性为零的情形);然后通过构造降维观测器,在线获取不确定性信息,并采用线性的补偿器实时补偿系统的不确定性.该控制策略采用线性控制,在工程中可以方便地实现,具有好的工程意义.理论分析证明了闭环指数渐近稳定的充分条件.仿真结果表明该双控制策略的有效性.

关 键 词:偏差分离  离散系统  不确定性

Output Feedback Control Based on Model Bias Separation for a Class of Discrete-time Systems
CHEN Zhen-feng , ZHANG Yun , YANG Ling-ling , LIU Zhi. Output Feedback Control Based on Model Bias Separation for a Class of Discrete-time Systems[J]. Mathematics in Practice and Theory, 2012, 42(12): 194-201
Authors:CHEN Zhen-feng    ZHANG Yun    YANG Ling-ling    LIU Zhi
Affiliation:(College of Automation,Guangdong University of Technology,Guangzhou 510006,China)
Abstract:Double-linear output feedback control strategy based on model bias separation is proposed for a class of uncertain discrete-time systems.The dynamic output feedback controller is firstly designed to stabilize the nominal system(i.e.,in the case of uncertainty equals zero);the compensator is then adopted for real-time compensating the impact of uncertainty,by obtaining the model bias information online by constructing a reduced-order observer.The control strategy is adopted the linear control construction,which is convenient to realize in practical control applications with good engineering significance.The sufficient condition for exponential stability of the closed-loop has been proved.The simulation results show the effectiveness of the proposed control strategy.
Keywords:model bias separation  discrete-time systems  uncertainty
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