Abstract
This paper addresses the problem of achieving gain equalization on all input-output channels of multivariable square dynamic systems which have a pole at the origin. A mathematical procedure based on linear transformations is proposed to extract the integrator associated with this pole to the outside of the system in a specific output channel. The order of the system model is then reduced, and the removed integrator can be joined with other new integrators that are added to the others output channels of the system in order to accomplish the desired gain equalization. A 5th order, 3I3O system (three inputs and three outputs) is considered as an example, for which a reduced order LQG/LTR controller is also designed.
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References
Doyle, J.C., Stein, G.: Robustness with observers. IEEE Trans. Automat. Contr. AC-24(4), 607–611 (1979)
Anderson, B.D.O., Moore, J.B.: Prentice-Hall. Inc, Englewood Cliffs, Englewood Cliffs (1990)
Doyle, J.C.: Guaranted margins for LQG regulators. IEEE Trans. Automat. Contr. AC-23(4), 756–757 (1978)
Doyle, J.C., Stein, G.: Multivariable feedback design: concepts for a classical/modern synthesis. IEEE Trans. Automat. Contr. AC-26(1), 4–16 (1981)
Athans, M.: A Tutorial for the LQG/LTR Method. In: IEEE ACC, Seattle, WA, USA, June 18-20, pp. 1289–1296 (1986)
Ridgely, D.B., Banda, S.S.: Introduction to Robust Multivariable Control, Flight Dynamics Laboratory, Wright-Patterson Air Force Base, USA, Final Rep. AFWAL-TR-85-3102 (1986)
Cruz, J.J.: Multivariable Robust Control original in portuguese: Controle Robusto Multivarivel, pp. 150–152. EDUSP, São Paulo (1996)
Glad, T., Ljung, L.: Control Theory: Multivariable and Nonlinear Methods, 1st edn., pp. 297–298. Taylor & Francis Group (2000)
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Figueiredo, D.A., Brito-de-Souza, J.R. (2015). Gain Equalization and LQG/LTR Controller Design for a 3I3O Multivariable Dynamic System with One Pole at the Origin. In: Moreira, A., Matos, A., Veiga, G. (eds) CONTROLO’2014 – Proceedings of the 11th Portuguese Conference on Automatic Control. Lecture Notes in Electrical Engineering, vol 321. Springer, Cham. https://doi.org/10.1007/978-3-319-10380-8_19
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DOI: https://doi.org/10.1007/978-3-319-10380-8_19
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10379-2
Online ISBN: 978-3-319-10380-8
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