Robust PID-PSD Controller Design: BMI Approach

被引：47
|
作者：
Vesely, Vojtech [1 ]
Rosinova, Danica [1 ]
机构：
[1] Slovak Univ Technol Bratislava, Bratislava 81219, Slovakia
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 02期
关键词：
Robust PID-PSD controller; polytopic system; Lyapunov function; guaranteed cost; LMI APPROACH; SYSTEMS;
D O I：
10.1002/asjc.559
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new robust proportional-integral-derivative (PID)proportional-sum-derivative (PSD) controller design method based on linear (bilinear) matrix inequalities (LMI, BMI) is proposed for uncertain affine linear system. The design procedure guarantees the parameter dependent quadratic stability, and guaranteed cost control with a new quadratic cost function (LQRS) including the derivative term for the state vector as a tool to influence the overshoot and response rate. The second approach to the PSD controller design procedure is based on a Lyapunov function with a special term corresponding to the time-delay part of the control algorithm. The results obtained are illustrated on three examples to show the robust PID, PSD control design procedure and the influence of the choice of matrix S in the extended cost function.
引用
收藏
页码：469 / 478
页数：10
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