一类不确定线性组合系统的变结构模型跟踪控制  

Variable Structure Model-Following Control for a Class of Uncertain Linear Composite Systems

作　　者：刘慧明[1] 井元伟[1] 张嗣瀛[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2005年第1期1-4,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60274009);教育部博士点基金资助项目(20020145007);山东省自然科学基金资助项目(Y2002G01)

摘　　要：研究了具有参数摄动、外界干扰等不确定因素影响的线性组合系统的模型跟踪控制问题·考虑到互联项在组合系统中不可忽视的重要作用,提出了一种参考模型选择的新思路:在选择参考模型时,根据系统所期望的性能指标,充分考虑各子系统间可能(或应该)具有的相互作用,添加互联项;在假设系统不确定性有界且满足一定匹配条件的前提下,基于Lyapunov方法,给出了系统的一种变结构模型跟踪分散控制律,实现了大系统的全局渐近稳定·该控制律设计简单,计算量小,易于在线实现·数字仿真表明了该算法的有效性·The model-following control problem is discussed for a class of uncertain linear composite systems with parametric perturbation and exterior disturbance. In view of the interconnected terms which play an indispensable role in composite systems, a new idea is put forward that the reference model is chosen according to the expected performance indices with the interactions among different sub-systems taken fully into account so as to add the interconnected terms to the reference model. Based on the assumption of the uncertainty satisfying the bounded and matched conditions, a new robust decentralized variable structure model-following controller is proposed to ensure the global asymptotic stability of the uncertain linear composite systems by means of Lyapunov method. The proposed control law is designed concisely and easy to realize. Simulation results show the effectiveness of the proposed method.

关 键 词：不确定性 组合系统 模型跟踪 变结构 分散控制 

分 类 号：O231[理学—运筹学与控制论]