基于LMI的随动系统PID控制下的多指标相容性  

Multi-objective consistency for servo system with PID controller based on LMI technique

作　　者：臧文利[1] 郭治[1] 

机构地区：[1]南京理工大学自动化学院

出　　处：《吉林大学学报（工学版）》2006年第5期745-750,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金资助项目(60174028);高等学校博士学科点专项基金资助项目(20040288002)

摘　　要：针对PID控制下的随动系统,把PID调节器的设计问题转化为不完全状态反馈问题,以线性矩阵不等式(LM I)和双线性矩阵不等式(BM I)为工具,研究了系统PID控制可稳的判据,可稳时系统的最大衰减度,与给定稳态误差系数和稳态输出方差相容的最大衰减度,与给定稳态误差系数、控制器增益约束和稳态输出方差相容的最大衰减度。给出了求解与给定指标相容的衰减度的求解算法,并通过算例说明了文中算法的有效性。For the PID controlled servo systems, the PID controller design was transformed to the partial state feedback problem, then by using linear matrix inequality （LMI） and bilinear matrix inequality （BMI）, a stabilization criterion of PID controller, maximum attenuation degree for the systems stabilized by PID, maximum degree consistent with the given steady-state output covariance, steady error coefficients, and controller gain constrains. The proposed algorithm for the solution of attenuation degree agreed with the given performance was presented and the validity of the algorithm was proved with the illustrated examples.

关 键 词：自动控制技术 PID 多指标控制 相容性 随动系统 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]