Genetic algorithm based optimal design for vibration control of composite shell structures using piezoelectric sensors a
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Genetic algorithm based optimal design for vibration control of composite shell structures using piezoelectric sensors and actuators Tarapada Roy Æ Debabrata Chakraborty
Received: 19 March 2008 / Accepted: 24 July 2008 / Published online: 9 August 2008 Springer Science+Business Media B.V. 2008
Abstract The present article deals with the design of optimal vibration control of smart fiber reinforced polymer (FRP) composite shell structures using genetic algorithm (GA) based linear quadratic regulator (LQR) and layered shell coupled electromechanical finite element analysis. Open loop procedure has been used for optimal placement of actuators considering the control spillover of the higher modes to prevent closed loop instability. An improved real coded GA based LQR control scheme has been developed for designing an optimal controller in order to maximize the closed loop damping ratio while keeping actuators voltages within limit. Results show that increased closed loop-damping has been achieved with a large reduction of control effort considering control spillover. Keywords Layered shell element Improved genetic algorithm Control spillover GA-LQR control scheme
T. Roy D. Chakraborty (&) Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India e-mail: [email protected] T. Roy e-mail: [email protected]
1 Introduction The design of space structures, robotic manipulators, and the like requires the development of high-performance lightweight structures because of the stringent consideration of weight. The lightweight structures inherently possess low internal damping and higher flexibility and susceptible to large vibration with long decay time. Such structures require suitable integration of active control means to show better performance under operation. Piezoelectric materials integrated with flexible structures can act as sensors and actuators and are able to provide these structures with selfmonitoring and self-controlling capabilities. This kind of active vibration control system requires sensors and actuators and a controller. The design process of such a system encompasses three main phases such as structural design, optimal placement of sensors and actuators and controller design and demands improved sensing and actuation both at the material and systems level. The spillover effects are a significant problem of active vibration control implementation on real structures. It is well known that the design of an optimal controller avoids the tasks of arbitrarily finding the gain of the controller to meet the design objectives and overcomes the problems of instability and actuator saturation. Two basic approaches namely open loop and closed-loop are normally used for optimal placement of sensors and actuators. The open-loop procedure significantly simplifies the problem because the selection is performed independently of any control
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law. At present, the LQR control approach has been found to be effective in vibration control with appropriate w
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