摘要
提出基于现代内点非线性规划方法的非线性最优控制设计思想。将控制系统的二次性能指标选取为非线性规划的目标函数;运用隐式积分方法,将控制系统的状态方程差分为等式约束;控制量的上下限幅选取为不等式约束;从而将最优控制问题转化为非线性规划问题,形成以规划方法处理控制问题的设计思路和算法。这种设计方法可按实际需要选择目标函数,并能够找到在选定的目标函数下,使非线性控制系统达到最优的控制规律,且设计灵活。以发电机励磁控制系统为例,提出了基于内点非线性规划的发电机励磁控制设计方法。为了考查该设计方法的灵活性,选择不同的控制目标进行设计。仿真结果表明:该设计方法使发电机具有良好的输出特性,具有广泛的应用前景。
This paper proposes a novel scheme for the nonlinear optimal control design based on modern interior point nonlinear programrning method. The quadratic performance index of control system is chosen as the objective ：function of nonlinear programming; all state equations of control system will be converted into numerical equivalent algebraic equations set by using the implicit trapezoidal method, and are involved in equality constraint set; all control quantity limits are used to be inequality constraints. The optimal control problem is transformed into nonlinear programming problem, and then the nonlinear control design idea based on programming method is acquired. This design approach can choose the objective function for actual needs. The design method is flexible, which can achieve the optimal control law under the chosen objective function according to the nonlinear control system. For the generator excitation control system, a nonlinear excitation control design method is derived based on modern interior point nonlinear programming by choosing different indexes to testify its flexibility. The simulation results show that the scheme makes the generator have a good output performance, and a broad application prospect.
出处
《中国农村水利水电》
北大核心
2011年第12期156-159,共4页
China Rural Water and Hydropower
关键词
电力系统
最优控制
非线性控制
现代内点法
励磁控制
power system
optimal control
nonlinear control
modern interior point method
excitation control
