{"title":"Controller Design for Euler-Bernoulli Smart Structures Using Robust Decentralized FOS via Reduced Order Modeling","authors":"T.C. Manjunath, B. Bandyopadhyay","country":null,"institution":"","volume":16,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":537,"pagesEnd":557,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/15092","abstract":"This paper features the modeling and design of a\r\nRobust Decentralized Fast Output Sampling (RDFOS) Feedback\r\ncontrol technique for the active vibration control of a 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 aluminium beam. Using model\r\norder reduction technique, the reduced order model of the higher\r\norder system is obtained based on dominant Eigen value retention\r\nand the Davison technique. RDFOS feedback controllers are\r\ndesigned for the above 5 multivariable-multimodel plant. The closed\r\nloop responses with the RDFOS feedback gain and the magnitudes of\r\nthe control input are obtained and the performance of the proposed\r\nmultimodel smart structure system is evaluated for vibration control.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 16, 2008"}