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由分块矩阵的奇异值不等式关系,给出了初猜值γ0、λ0的对半求解法,在此基础上直接给出带参数的Riccati方程迭代求解法。用此方法对涡喷发动机不确定性系统设计了控制器,并在发动机气动热力学非线性模型上进行了仿真验证,结果表明控制系统能够取得满意的鲁棒性能、抗干扰性能和伺服跟踪性能。
Based on the singular value inequality relation of block matrix, the semi-solution of the initial guess γ0 and λ0 is given, and the iterative solution of the Riccati equation with parameters is given directly. The controller is designed for the uncertain system of turbojet engine by this method. Simulation is performed on the aerodynamic nonlinear model of the engine. The results show that the control system can achieve satisfactory robust performance, anti-jamming performance and servo tracking performance.