Active Open-Loop Control of Plates with Multiple Piezoelectric Patches via the Maximum Principle

被引：15
|
作者：
Sadek, I. S. [1 ]
Kucuk, I. [1 ,3 ]
Adali, S. [2 ]
机构：
[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
[2] Univ KwaZulu Natal, Sch Mech Engn, Durban, South Africa
[3] Yildiz Tech Univ, Dept Engn Math, Istanbul, Turkey
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2014年 / 21卷 / 09期
关键词：
smart plate; optimal control; maximum principle; piezoelectric actuators; VIBRATION CONTROL; FEEDBACK-CONTROL; SHAPE CONTROL; SMART BEAMS; SENSORS;
D O I：
10.1080/15376494.2012.707750
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The active vibration of plates integrated with distributed piezoelectric actuators is studied using control theory. The optimization problem consists of finding the control voltage applied to distributed piezoelectric patch actuators, which suppresses the transient displacements and velocities of plates with the least control effort. An explicit optimal control law is derived by utilizing the maximum principle theory for the structural dynamic systems in two space dimensions. The implementation of the theory is presented in an example, and the effectiveness of the proposed control is investigated by a numerical simulation.
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页码：772 / 779
页数：8
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