μ_(-synthesis)方法在结构—声耦合系统鲁棒控制中的应用

Robust Control of a Structural-Acoustical Coupling System by Using the μ_(-synthesis) Theory

以在工程中普遍存在的封闭空间结构—声耦合系统为对象,基于鲁棒结构奇异值理论,建立了结构—声耦合系统鲁棒主动控制模型,提出了设计鲁棒-μsynthesis控制器的方法:通过引入虚拟的不确定块,将耦合系统响应性能的问题转化为广义系统的稳定鲁棒性问题,采用标准D-K迭代法求解该增量系统的稳定鲁棒控制器。封闭空间结构—声耦合系统的控制仿真表明,同鲁棒H∞控制结果相比,-μsynthesis方法对模型不确定性具有良好的稳定鲁棒性和性能鲁棒性。同以往的研究相比,新意在于应用-μsynthesis方法设计了结构—声耦合系统鲁棒控制器,以克服H∞控制器的不足。

Based on the μ-synthesis theory, a robust control model of structural-acoustical coupling system for a three-dimensional rectangular enclosure was established, and a design method of robust μ-synthesis controller was proposed. The robust performance problem of the structural-acoustical coupling system was transformed into the robust stability problem of an augment system via the introduction of a fietive uncertainty module. The robust stability controller for this augment system was solved by standard D- K iteration. Simulation results indicate that μ-synthesis can provide a good disturbance rejection and is more robust to parameter variations than H∞ controller. In comparison with the previous studies, this paper designs an active robust controller for the structural-acoustical coupling system by using the μ-synthesis theory, and demonstrates the merit of μ-synthesis controller.