一类线性串联系统的鲁棒H_∞控制

Robust H_∞ Control of a Type of Linear Series Systems

对于单级线性系统的鲁棒H∞ 控制器设计 ,只需求解一个代数Riccati方程就能得到其状态反馈阵 .运用这样的状态反馈控制 ,既能保证整个闭环系统是鲁棒稳定的 ,又能达到抑制干扰的效果 .在设计单级线性系统的鲁棒H∞ 控制器的基础上 ,设计出具有串联结构的线性系统的鲁棒H∞ 控制器 ,证明了对于具有两级串联结构的线性系统 ,可分别设计两个简单的单级系统的鲁棒H∞ 控制器 ,通过求解两个Riccati方程 ,得到整个系统的控制器 ,此分段设计方法能保证整个系统在H∞

About robust H ∞ controller design for mono linear system,the solution to the problem only involves solving an algebraic Riccati equation,and according to the algebraic Riccati equation,the state feedback matrix can be obtained.Such state feedback control can ensure that the whole closed-loop system is stable and achieve optimal H ∞ disturbance attenuation. On the basis of mono linear system robust H ∞ controller, robust H ∞ controller for a type of linear series systems is designed.It proved that controller for dual series linear system can be designed.The solution to the problem only involves two algebraic Riccati equations to design respectively two simple mono controllers,and the segmental designed controller can ensure quadratic stability for the whole system on the scope of H ∞ norm.A simulation example proves that this conclusion is right