Abstract: The paper shows that a method of PID parameter optimization based on linear quadratic optimal control. With this method, the controller of the PWM DC/DC converter is designed. Utilizing augmented matrix to build a tracking control model with no steady error, and through select weighted matrix to perform the no overshoot and dynamic response of system. The simulation proves the validity of the control method.

Key words: average state space method, quadratic optimum control, PID parameters tuning, DC-DC Converter

摘要： 基于二次型最优化理论，对PWM DC-DC变换器PID控制参数进行优化整定和设计。通过引入增广矩阵，增加了控制量U*(t)中对误差的积分环节，推导了无静差跟踪控制系统模型；在目标函数的构成参量和形式确定之后，通过选取适当的加权矩阵，实现系统的无超调动态响应。以BUCK和BOOST变换器为例的仿真结果表明，采用二次型最优PID控制策略所构建的反馈系统具有更为优越的动态品质和稳态特性。

关键词: 状态空间平均模型, 二次型最优控制, PID参数整定, DC/DC变换器