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给出了一种基于线性参数变化增益调度 H∞ 控制器的设计方法 .该方法是通过对谐波干扰信号建模 ,并将其与被控对象结合形成以谐波干扰频率为变化参数的线性参数变化系统 ;采用基于单个二次 Lyapunov函数的方法设计了相应的线性参数变化增益调度 H∞ 控制器 ,使得控制器具有可实现性及相应的性能 .由于所设计的控制器参数能够随干扰频率变化进行调度并能满足要求的性能指标 ,因此实现了对所有已知变化频率谐波干扰的有效抑制 .与传统的基于插值方法设计的增益调度控制器相比 ,该控制器的结构简单 ,易于实现 ,其闭环系统的全局稳定性能够得到保证 .通过数值仿真并与线性二次高斯 ( LQG)和一般的 H∞ 控制结果比较 ,验证了文中方法的有效性 .
A design method of H∞ controller based on linear parameter variation gain scheduling is given.The method is based on modeling the harmonic interference signal and combining it with the controlled object to form a linear The parameter variation system is designed.The corresponding linear parameter varying gain scheduling H∞ controller is designed based on a single quadratic Lyapunov function to make the controller have realizable and corresponding performance.Because the designed controller parameters can vary with the interference frequency The variation is scheduled and can meet the required performance index, thus achieving an effective suppression of all the known changes in the frequency of harmonic interference.Compared with the traditional interpolation algorithm based gain scheduling controller, the controller has the advantages of simple structure, easy , The global stability of the closed-loop system can be guaranteed.Through numerical simulation and comparison with linear quadratic Gaussian (LQG) and general H∞ control, the effectiveness of the proposed method is verified.