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研究奇异摄动时滞系统次优控制的近似设计问题.基于奇异摄动的快慢分解理论,将系统的最优控制问题转化为无时滞快子问题和线性时滞慢子问题;利用Chebyshev多项式级数方法将时滞慢子问题的近似求解问题转化为线性代数方程组的求解问题,进而得到原系统的次优控制律,该控制律由Chebyshev多项式级数的基向量表示.仿真算例表明了该方法的有效性.
The approximate design problem for the suboptimal control of singularly perturbed systems with time-delay is studied. Based on the singular perturbation theory, the optimal control problem of the system is transformed into the delayless sub-delay problem and the linear delayed lag sub-problem. The Chebyshev polynomial The series method transforms the approximate solution of delayed lag sub-problems into the linear algebraic equations, and then obtains the sub-optimal control law of the original system, which is represented by the basis vector of Chebyshev polynomial series. The effectiveness of this method.