{"title":"Controller Design for Euler-Bernoulli Smart Structures Using Robust Decentralized POF via Reduced Order Modeling","authors":"T.C. Manjunath, B. Bandyopadhyay","country":null,"institution":"","volume":6,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":293,"pagesEnd":310,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/8892","abstract":"This paper features the proposed modeling and design\r\nof a Robust Decentralized Periodic Output Feedback (RDPOF)\r\ncontrol technique for the active vibration control of smart flexible\r\nmultimodel Euler-Bernoulli cantilever beams for a multivariable\r\n(MIMO) case by retaining the first 6 vibratory modes. The beam\r\nstructure is modeled in state space form using the concept of\r\npiezoelectric theory, the Euler-Bernoulli beam theory and the Finite\r\nElement Method (FEM) technique by dividing the beam into 4 finite\r\nelements and placing the piezoelectric sensor \/ actuator at two finite\r\nelement locations (positions 2 and 4) as collocated pairs, i.e., as\r\nsurface mounted sensor \/ actuator, thus giving rise to a multivariable\r\nmodel of the smart structure plant with two inputs and two outputs.\r\nFive such multivariable models are obtained by varying the\r\ndimensions (aspect ratios) of the aluminum beam, thus giving rise to\r\na multimodel of the smart structure system. Using model order\r\nreduction technique, the reduced order model of the higher order\r\nsystem is obtained based on dominant eigen value retention and the\r\nmethod of Davison. RDPOF controllers are designed for the above 5\r\nmultivariable-multimodel plant. The closed loop responses with the\r\nRDPOF feedback gain and the magnitudes of the control input are\r\nobserved and the performance of the proposed multimodel smart\r\nstructure system with the controller is evaluated for vibration control.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 6, 2007"}