有限频域内不确定线性系统的鲁棒变增益控制器设计

项目名称： 有限频域内不确定线性系统的鲁棒变增益控制器设计

项目编号： No.61273148

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 杨光红

作者单位： 东北大学

项目金额： 83万元

中文摘要： 本项目在有限频域内研究不确定线性系统的鲁棒变增益控制器设计问题。首先，针对带有时不变仿射不确定性的线性系统，结合自适应技术与共同Lyapuvov函数方法，设计鲁棒变增益状态反馈以及动态输出反馈控制器，并在有限频域内优化闭环系统的 性能；在此基础上，进一步考虑采用参数依赖型Lyapunov函数方法，设计鲁棒变增益 控制器；针对带有时变仿射不确定性的线性系统，利用切换技术，在有限频域内设计鲁棒变增益 控制器。针对上述不确定线性系统，在有限频域内设计鲁棒变增益 滤波器。将所提出的控制器及滤波器设计方法推广至其它类型的不确定系统，如输入饱和不确定系统，带有时延的不确定系统等。因此，该项研究的开展不论是对鲁棒控制理论本身发展，还是对改进实际控制系统性能都具有重要意义。

中文关键词： 鲁棒控制；不确定系统；有限频域；自适应控制；切换控制

英文摘要： This item is concerned with the robust controller design with time-varying gains for uncertain linear systems in finite frequency domains. First, for linear systems with time-invariant affine uncertainties, based on adaptive techniques and common Lyanunov function approaches, the robust state feedbak and dynamic output feedback controllers with varying gains are designed and the performances of the corresponding closed-loop systems are then optimized in finite frequency domains; on this basis, by using parameter dependent Lyapunov function approaches, the robust controller design with varying gains is further studied. Moreover, for linear systems with time-variant affine uncertainties, by using switching techniques, the robust controllers with time-varying gains are designed in finite frequency domains. In addition, robust filter design with time-varying gains is also considered for the above uncertain linear systems in finite frequency domains. Finally, the proposed controller and filter design schemes are extened to other uncertain systems, for example, the uncertain systems with time-delay or input saturation. Therefore, this research item is of great improtance from either the development of robust control theory point of view or the improvement of control system performance point of view.

英文关键词： robust control；uncertain system；finite frequency domain；adaptive control；switch control