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为解决线性定常系统在二次性能指标下的最优调节器设计问题,本文通过坐标变换,从系统的可控标准形出发,解决了用Newton迭代法求解代数Riccati方程时出现的两个主要困难:选取初始迭代矩阵与迭代求解Lyapunov方程。最后给出了求解的步骤与计算实例。
In order to solve the optimal regulator design problem of linear steady-state system under the quadratic performance index, this paper starts with the controllable standard form of the system through coordinate transformation and solves two major difficulties when solving the algebraic Riccati equation by Newton’s iterative method : Select Initial Iteration Matrix and Iterative Lyapunov Equation. Finally, the solution steps and calculation examples are given.