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Optimal control of vibration suppression in flexible systems via dislocated sensor/actuator positioning

โœ Scribed by Heng-Kwung Lee; Song-Tsuen Chen; An-Chen Lee

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
588 KB
Volume
333
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

In this study, we present a new controller design method that not only effectively suppresses vibration in fexible systems, but also has the ability to save control energy. The proposed method allows integrated determination of sensor/actuator locations and feedback gain by minimizing the sum of the integral flexible system energy and the integral control energy. Also, the cost function is characterized by an effective representation of control systems, and is determined via an efficient solution of the Lyapunov equation. The optimization problem is solved by a recursive quadratic programming algorithm. The feasibility of applying this method to a simple and flexible structure confirms the direct relationship between our optimization criterion and effectiveness in vibration suppression.

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## Abstract After publication, it was determined that this paper contained an error where Equation (36) cannot be solved because it is constrained by the inequality of Equation (30). To overcome this, we here change the mistake into a static output feedback problem. Equation (29) can be rewritten