Structured stability robustness improvement by eigenspace techniques- A hybrid methodology

作者: Pierre R. Apkarian

DOI: 10.2514/3.20386

关键词: Frequency domainLinear-quadratic-Gaussian controlLTI system theoryEngineeringControl theoryMultivariable calculusControl engineeringConstrained optimizationRobustness (computer science)Nonlinear programmingEigenvalues and eigenvectors

摘要: A new hybrid design technique for improving stability robustness with respect to block-structured perturbations in multivariable linear feedback systems is presented. This methodology that it uses both constrained optimization techniques and eigenstructure assignment performance. approach allows the designer treat simultaneous occurring at different locations system without having compromise between Performance requirements expressed terms of closed-loop eigenvalues right-eigenvectors are directly satisfied by procedure. The realistic example SA365N DOLPHIN helicopter presented highlight merits some concerns using this methodology.

参考文章(18)
D. F. Shanno, K. H. Phua, Algorithm 500: Minimization of Unconstrained Multivariate Functions [E4] ACM Transactions on Mathematical Software. ,vol. 2, pp. 87- 94 ,(1976) , 10.1145/355666.355673
J. Freudenberg, D. Looze, J. Cruz, Robustness analysis using singular value sensitivities conference on decision and control. ,vol. 20, pp. 1158- 1166 ,(1981) , 10.1109/CDC.1981.269401
A.N. Andry, E.Y. Shapiro, J.c. Chung, Eigenstructure Assignment for Linear Systems IEEE Transactions on Aerospace and Electronic Systems. ,vol. 19, pp. 711- 729 ,(1983) , 10.1109/TAES.1983.309373
J. Doyle, G. Stein, Multivariable feedback design: Concepts for a classical/modern synthesis IEEE Transactions on Automatic Control. ,vol. 26, pp. 4- 16 ,(1981) , 10.1109/TAC.1981.1102555
N. Lehtomaki, D. Castanon, B. Levy, G. Stein, N. Sandell, M. Athans, Robustness tests utilizing the structure of modelling error conference on decision and control. ,vol. 20, pp. 1173- 1190 ,(1981) , 10.1109/CDC.1981.269403
A. G. J. MAcFARLANE, I. POSTLETHWAITE, The generalized Nyquist stability criterion and multivariable root loci International Journal of Control. ,vol. 25, pp. 81- 127 ,(1977) , 10.1080/00207177708922217
N. Lehtomaki, N. Sandell, M. Athans, Robustness results in linear-quadratic Gaussian based multivariable control designs IEEE Transactions on Automatic Control. ,vol. 26, pp. 75- 93 ,(1981) , 10.1109/TAC.1981.1102565
M. Barrett, Conservatism with robustness tests for linear feedback control systems conference on decision and control. ,vol. 19, pp. 885- 890 ,(1980) , 10.1109/CDC.1980.271928
M.G. Safonov, Stability margins of diagonally perturbed multivariable feedback systems IEE Proceedings D Control Theory and Applications. ,vol. 129, pp. 251- 256 ,(1982) , 10.1049/IP-D:19820054