混合频小增益动态输出反馈控制综合

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1.
College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China
2.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China

Dynamic Output Feedback Control Synthesis with Mixed Frequency Small Gain Specifications

1.
College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China;
2.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China

摘要: 本文主要研究线性连续时间系统经动态输出反馈的混合频小增益控制综合问题. 提出了一种使相应闭环系统渐近稳定并满足有限频范围和全频范围小增益条件要求的动态输出反馈控制器的新设计方法. 设计条件以一系列线性矩阵不等式的解的形式给出. 最后, 给出一个数值例子来说明设计程序以及这种方法对比于现有方法的优势.
- 混合频 /
- 小增益技术条件 /
- 多目标控制
Abstract: This paper is concerned with the control synthesis problem via dynamic output feedback for linear continuous-time systems with mixed frequency small gain specifications. A new method for designing dynamic output feedback controllers is presented such that the resulting closed-loop systems are asymptotically stable and meet the requirements of small gain specifications in both finite frequency ranges and the entire frequency range. The design conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the design procedure and the advantage of the proposed method in comparison with the existing one.
- Mixed frequency /
- small gain specification /
- multi-objective control