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X. Q. Shi,D. E. Davison,R. Kwong,E. J. Davison.[en_title][J].Control Theory and Technology,2016,14(4):287~313.[Copy]
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Optimal decentralized control of large scale systems
X.Q.Shi,D.E.Davison,R.Kwong,E.J.Davison
0
(Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Ontario, Canada, M5S 3G4)
摘要:
This paper presents a new optimized decentralized controller design method for solving the tracking and disturbance rejection problems for large-scale linear time-invariant systems, using only low-order decentralized controllers. To illustrate the type of results which can be obtained using the new optimized decentralized control design method, the control of a large flexible space structure is studied and compared with the standard centralized LQR-observer controller. The order of the resultant decentralized controller is much smaller than that of the standard centralized LQR-observer controller. The proposed controller also has certain fail-safe properties and, in addition, it can be five orders of magnitude more robust than the standard LQR-observer controller based on their real stability radii. The new decentralized controller design method is applied to a large flexible space structure system with 5 inputs and 5 outputs and of order 24.
关键词:  Decentralized control, multivariable control, PID control, robustness, optimization, large-scale systems, flexible structures
DOI:
基金项目:This work was supported by the Natural Sciences and Engineering Research Council of Canada (No. A4396).
Optimal decentralized control of large scale systems
X. Q. Shi,D. E. Davison,R. Kwong,E. J. Davison
(Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Ontario, Canada, M5S 3G4;Department of Electrical and Computer Engineering, University of Waterloo, Ontario, Canada, N2L 3G1)
Abstract:
This paper presents a new optimized decentralized controller design method for solving the tracking and disturbance rejection problems for large-scale linear time-invariant systems, using only low-order decentralized controllers. To illustrate the type of results which can be obtained using the new optimized decentralized control design method, the control of a large flexible space structure is studied and compared with the standard centralized LQR-observer controller. The order of the resultant decentralized controller is much smaller than that of the standard centralized LQR-observer controller. The proposed controller also has certain fail-safe properties and, in addition, it can be five orders of magnitude more robust than the standard LQR-observer controller based on their real stability radii. The new decentralized controller design method is applied to a large flexible space structure system with 5 inputs and 5 outputs and of order 24.
Key words:  Decentralized control, multivariable control, PID control, robustness, optimization, large-scale systems, flexible structures