Construction of polynomial matrix using block coefficient matrix representation auto-regressive moving average model for actively controlled structures
- 40 Downloads
The polynomial matrix using the block coefficient matrix representation auto-regressive moving average (referred to as the PM-ARMA) model is constructed in this paper for actively controlled multi-degree-of-freedom (MDOF) structures with time-delay through equivalently transforming the preliminary state space realization into the new state space realization. The PM-ARMA model is a more general formulation with respect to the polynomial using the coefficient representation auto-regressive moving average (ARMA) model due to its capability to cope with actively controlled structures with any given structural degrees of freedom and any chosen number of sensors and actuators. (The sensors and actuators are required to maintain the identical number.) under any dimensional stationary stochastic excitation.
Key Wordsactively controlled MDOF structures stationary stochastic processes polynomial matrix auto-regressive moving average
Unable to display preview. Download preview PDF.
- 5.Gawthrop PJ. Some interpretations of self tuning controller.Proceedings of the IEEE, 1977, 124: 889–894Google Scholar
- 6.Clarke DW. Introduction to self tuning controller. In: Nichelson H, Swanick BH, eds. IEEE, Control Engineering Series 15, Self Tuning and Adaptive Control: Theory and Applications, London: Peter Pereginus, 1981Google Scholar
- 9.Yong LP, Mickleborough NC. Model identification of vibrating structures using ARMA model.J Eng Mech, 1989, 115(10): 2232–2250Google Scholar
- 10.Safak E. Adaptive modelling, identification, and control of dynamics systems. I: Theory.J Eng Mech, 1989, 115(11): 2386–2405Google Scholar
- 15.Yamada K, Kobori T. Control algorithm for estimating future responses of active variable stiffness structure.Earthquake Eng Struct Dyn, 1995, 24: 1085–1099Google Scholar
- 20.Li Y, Kareem, A. ARMA modeling of random wind and wave fields. In: Eng Mech-6th Conf, Abstracts, ASCE, New York, NY, 1987Google Scholar
- 21.Li Y, Kareem A. Recursive modeling of dynamics systems.J Eng Mech, 1990, 116(3): 660–679Google Scholar