本设计针对广泛应用的最优控制理论进行论述，并对其在实践中常用的线性二次型问题的原理和算法详细阐述。
This thesis discusses the first-rank control theory which is applied widely, and we discuss the principle and algorithm of linear-quadratic regulator in details.
研究了价格控制问题-非线性二次双级规划，针对其解集的基本性质，提出了求解价格控制问题的基础算法。
The price control problem-nonlinear quadratic bilevel programming is studied. Based on the properties of its solution set, the fundamental algorithm is proposed.
运用改进遗传算法来优化极点配置方法和线性二次型调节器方法的倒立摆控制参数，并取得比较好的仿真效果。
The improved GA is used to optimize the parameters of pole assignment control and LQR control about inverted pendulum systems. And the better simulation results are obtained.
仿真结果表明，基于遗传算法的PID控制效果比经验值要好，但基于遗传算法的极点配置方法和线性二次型最优控制方法的控制效果与经验值相比，没有明显的优势。
The simulation results show that the results of PID control based on GA are better than experience, but the results of pole assignment control and LQR control are not clear advantage whit experience.
利用直接打靶法，将此最优控制模型转化为非线性规划问题，并采用序列二次规划算法进行解算。
By using direct shooting method, the associated optimization was converted into a nonlinear programming problem, which was solved through a sequential quadratic programming solver.
利用直接打靶法，将此最优控制模型转化为非线性规划问题，并采用序列二次规划算法进行解算。
By using direct shooting method, the associated optimization was converted into a nonlinear programming problem, which was solved through a sequential quadratic programming solver.
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