【作者】 林琼斌； 蔡逢煌； 杨富文；

【Author】 Lin Qiongbin Cai Fenghuang Yang Fuwen (Department of Electrical Engineering, Fuzhou University, Fuzhou 350002, China)

【机构】 福州大学电气工程与自动化学院；

【摘要】 针对具有参数不确定性的连续时间系统,提出了一种多目标鲁棒PID控制器的设计方法．利用环路成形思想,通过状态空间参数化方法,把闭环系统同时满足H2,H∞性能和极点位置配置的多目标综合问题转化为线性矩阵不等式的优化问题,从而使得PID控制器的参数可通过MATLAB 的LMI工具箱解一组线性不等式组来获得．数值例子阐述了PID参数的镇定过程,仿真结果说明了所提方法的有效性和优越性．更多还原

【Abstract】 An approach to design the robust PID (proportional integral derivative) controller for continuous-time system with parameter uncertainties is presented. H2 performance and H∞ performance are simultaneously considered, and the poles of closed system should be sited in a given region. A state space parameterization method which allows to convert PID controller synthesis into LMI (linear matrix inequality) optimization problem is proposed, then the PID controller parameters can be obtained directly by solving a set of linear matrix inequalities. Numerical example is given to illustrate the design procedure and its effectiveness.更多还原