周期时变系统的鲁棒最优控制及其在减振技术中的应用

This project deals with the systems with periodically time-varying parameters, and works over their robust and optimal control theory under the action of parameter uncertainty and/or dynamical uncertainty. In virtue of the game-theoretic methodology and the Lyapunov function tool, the analysis and design problems are investigated. Some important results on the time invariant systems are extended to the periodically time-varying systems, and vibration reduction of building structure is discussed by using obtained results.

研究含周期时变参数的系统在参数以及动态不确定性影响下的鲁棒最优控制理论与方法。扩展时不变系统鲁棒控制的研究成果到周期时变系统。利用对策理论思想、李亚普诺夫函数方法、时不变系统等价表示方法以及正交函数近似方法等来分析和设计周期系统。以各种减振控制系统作为实际应用背景进行控制仿真和模拟试验，给出这些系统的减振控制实施方案。