The design of controllers for the multivariable robust servomechanism problem using parameter optimization methods

作者: Edward Davison , Ian Ferguson

DOI: 10.1109/CDC.1980.271926

关键词:

摘要: The problem of designing realistic multivariable controllers to solve the servomechanism is considered in this paper. Specifically it desired find a controller for plant robust problem, so that closed loop stability and asymptotic regulation occur, also other desirable properties controlled system, such as fast response, low-interaction, integrity, tolerance variations, etc. occur. method design based on using state space methods via two-state process: (1) theory, determine existence solution control structure required (2) nonlinear progranming methods, unknown parameters minimize performance index system subject certain constraint requirements. Numerous examples, varying from single-input/single-output four-input/four-output are given illustrate method, results obtained compared with by alternate methods. In all cases, have been highly competitive (i.e. always superior)

参考文章(38)
Freek A. Lootsma, A survey of methods for solving constrained minimization problems via unconstrained minimization Seminario sobre programación matemática, Vol. 1, Tomo 2, 1977 (Seminario sobre programación matemática). pp. 2- ,(1977)
T. J. Aird, B. T. Smith, J. M. Boyle, B. S. Garbow, Y. Ikebe, V. C. Klema, Matrix Eigensystem Routines--EISPACK Guide Mathematics of Computation. ,vol. 30, pp. 188- ,(1976) , 10.2307/2005448
D. Q. Mayne, Computer aided design of control systems via optimization IEEE Transactions on Automatic Control. ,vol. 16, pp. 371- 374 ,(1979) , 10.1109/JACC.1979.4170631
A.G.J. Macfarlane, J.J. Belletrutti, The characteristic locus design method Automatica. ,vol. 9, pp. 575- 588 ,(1973) , 10.1016/0005-1098(73)90043-5
Willard I. Zangwill, Non-Linear Programming Via Penalty Functions Management Science. ,vol. 13, pp. 344- 358 ,(1967) , 10.1287/MNSC.13.5.344
H.H. Rosenbrock, Design of multivariable control systems using the inverse Nyquist array Proceedings of the Institution of Electrical Engineers. ,vol. 116, pp. 1929- 1936 ,(1969) , 10.1049/PIEE.1969.0354
E. Davison, S. Wang, An algorithm for the calculation of transmission zeros of the system (C, A, B, D) using high gain output feedback IEEE Transactions on Automatic Control. ,vol. 23, pp. 738- 741 ,(1978) , 10.1109/TAC.1978.1101808
E. Polak, R. Trahan, An algorithm for computer aided design problems 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes. ,vol. 15, pp. 537- 542 ,(1976) , 10.1109/CDC.1976.267789
Bruce Francis, Perfect regulation and feedforward control of linear multivariable systems conference on decision and control. ,vol. 16, pp. 760- 762 ,(1977) , 10.1109/CDC.1977.271671