Abstract
Most of control system designing methods are based on mathematical model of the object. Consequently, it is very thorny to design the controller when containing high order. For this purpose, the system is modelled as linear time invariant system using well-known laws of mechanics, and then use model order reduction techniques for reducing the system. Using the state derivative feedback and reduction methods a reduced state derivative feedback controller is designed and used for a mechanical system. In addition comparison is done with state feedback controller and state derivative feedback controller.
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References
Hutton, M.F., Friendland, B.: Routh approximation for reducing order of linear, time-invariant system. IEEE Trans. Autom. Control, ac-20(3), (1975)
Singh, V.: Improved stable approximants using the Routh array. IEEE Trans. AC-26, 581–583 (1981)
Lamba, S.S., Bandyopadhyay, B.: An improvement on Routh approximation technique. IEEE Trans. AC-31, 1047–1050 (1986)
Bandyopadhyay, B., Rao, A., Singh, H.: On pade approximation for multivariable systems. IEEE Trans. Circuits Syst. 36(4), 638–639 (1989)
Hsieh, C. A., Hwang, C.: Model reduction of continuous-time systems using a modified Routh approximation method. In: IEE Proceeding D. Control Theory Applications, vol. 136, no 4, pp. 151–156 (1989)
Choo, Y.: Improvement to modified Routh approximation method. Electron. Lett. 35(7), (1999)
Choo, Y.: Direct method for obtaining modified Routh approximants. Electron. Lett. 35(79), (1999)
Jamshidi, M.: An overview on the aggregation of large scale systems (1981)
Janardhanan, J.: Model order reduction and controller design techniques 42 (2005)
Nagrath, I.J., Gopal, M.: Control System Engineering, Third Edition, New Delhi (1999)
Nguyen, C.H.: Designing controller by state space techniques using reduced order model algorithm. In: Fourth International Conference on Intelligent Computation Technology and Automation, pp. 530–992. IEEE (2011)
Abdelaziz, T.H.S., Valášek, M.: Pole-placement for SISO linear systems by state-derivative feedback. In: IEE Proceedings-Control Theory Applications, vol. 151, No. 4, July 2004
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Jyoti Kataria, Madhav, M.K., Verma, S.K. (2016). Design of Reduced Order Controller for Mechanical System. In: Afzalpulkar, N., Srivastava, V., Singh, G., Bhatnagar, D. (eds) Proceedings of the International Conference on Recent Cognizance in Wireless Communication & Image Processing. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2638-3_104
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DOI: https://doi.org/10.1007/978-81-322-2638-3_104
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