基于稳定裕度的控制系统双回路增益优化方法  

Double-loop gain optimization method for control system based on stability margin

作　　者：赵金龙[1] 周军[1] 郭建国[1] 呼卫军[1] 

机构地区：[1]西北工业大学精确制导与控制研究所,陕西西安710072

出　　处：《飞行力学》2014年第3期262-265,269,共5页Flight Dynamics

摘　　要：针对控制系统增益手工优化方法效率低且稳定裕度无法保证的问题,提出了一种双回路增益优化方法。将增益优化视为系统增益与频域稳定裕度之间的非线性最优化问题,基于频域稳定裕度指标构造目标函数,并采用广义拉格朗日乘子法将有约束的非线性最优化问题转化为无约束最优化问题。外回路通过罚因子和拉格朗日乘子逐步迭代来调整目标函数,内回路则基于单纯形算法直接求解无约束最优化问题,搜索控制系统增益最优解。仿真结果表明,该算法可有效改善控制系统的鲁棒性和稳定性,提高了传统手工增益优化方法的效率,可应用于多种研究对象,有一定的工程应用价值。For the problem of manual parameter tuning for controller, such as low efficiency and unsurestability margin, a double-loop approach of gain tuning is proposed for the nonlinear optimal problem be-tween control gain and stability margin. The objective function based on stability margin was constructed,and the nonlinear optimal problem with multi-constraints was simplified into that with no constraintthroughgeneralized Lagrange method. The external loop was used to modify the penalty factor and La-grange multiplier through step iterative method. The optimal gain of control system was obtained by sol-ving the no-constraint optimal problem based on simplex method in the internal loop. The simulation re-suits show that the robustness and stability of control system and the efficiency of manual parameter tuningcan be improved effectively by the method, which can be applied to diverse object of study and possessgreat practical value in engineering.

关 键 词：增益调参 非线性最优化 单纯形 拉格朗日乘子 双回路 

分 类 号：V448[航空宇航科学与技术—飞行器设计]