Robust control design based on parametric eigenvalue assignment

作者: G. P. LIU , R. J. PATTON

DOI: 10.1080/00207729808929497

关键词: MathematicsGradient methodRobust controlLinear systemTime domainFrequency domainControl theoryOptimal controlRobustness (computer science)Parametric statistics

摘要: Optimal robust control design of multivariate systems using eigenstructure assignment is addressed. An analytical parametric expression state-feedback derived for both real and complex-conjugate eigenvalues. The controller designed via analytically expressed by new totally free parameters the case where sets closed- open-loop eigenvalues intersect, those do not. It considers desired closed-loop eigenvalue in time domain minimization mixed performance robustness index frequency so that frequency- time-domain specifications are combined during design. gradient calculation described detail. Based on gradient-based optimization genetic algorithms, minimized making full use freedom provided eige...

参考文章(34)
Bruce A. Francis, A Course in H Control Theory ,(1986)
J. O'REILLY, M. M. FAHMY, The Minimum Number of Degrees of Freedom in State Feedback Control american control conference. ,vol. 41, pp. 994- 999 ,(1985) , 10.1080/0020718508961161
Gordon R Walsh, None, Methods of optimization ,(1975)
J. KAUTSKY, N. K. NICHOLS, P. VAN DOOREN, Robust pole assignment in linear state feedback International Journal of Control. ,vol. 41, pp. 1129- 1156 ,(1985) , 10.1080/0020718508961188
Simon P. Burrows, Ron J. Patton, A comparison of some robust eigenvalue assignment techniques Optimal Control Applications & Methods. ,vol. 11, pp. 355- 362 ,(1990) , 10.1002/OCA.4660110406
L. R. FLETCHER, J. KAUTSKY, G. K. G. KOLKA, N. K. NICHOLS, Some necessary and sufficient conditions for eigenstructure assignment International Journal of Control. ,vol. 42, pp. 1457- 1468 ,(1985) , 10.1080/00207178508933437
S.K. Mudge, R.J. Patton, Analysis of the technique of robust eigenstructure assignment with application to aircraft control IEE Proceedings D Control Theory and Applications. ,vol. 135, pp. 275- 281 ,(1988) , 10.1049/IP-D.1988.0038
R.V. Patel, P. Misra, Numerical algorithms for eigenvalue assignment by state feedback Proceedings of the IEEE. ,vol. 72, pp. 1755- 1764 ,(1984) , 10.1109/PROC.1984.13084
G. ROPPENECKER, On parametric state feedback design International Journal of Control. ,vol. 43, pp. 793- 804 ,(1986) , 10.1080/00207178608933503