A lower bound for the mixed μ problem

IEEE Transactions on Automatic Control

Volumn 42, Issue 1, 1997, Pages 123-128

  Young, Peter M ^a   Doyle, John C ^b  

^a Engineering Research Center and Hydraulics Laboratory   (United States)

^b California Institute of Technology   (United States)

Author keywords

Computational methods; Control system analysis; Robust control; Stability analysis; Structured singular value

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; CONTROL SYSTEM ANALYSIS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PERFORMANCE; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

LOWER BOUND; POLYNOMIAL TIME ALGORITHM; STRUCTURED SINGULAR VALUE;

CONTROL THEORY;

EID: 0030835085     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.553696     Document Type: Article

References (10)

1. J. Doyle, "Analysis of feedback systems with structured uncertainty," IEE Proc., Part D, vol. 129, pp. 242-250, 1982.
2. A. Packard, M. K. H. Fan, and J. C. Doyle, "A power method for the structured singular value," in Proc. 27th Conf. Decision Contr., 1988, pp. 2132-2137.
3. G. J. Balas, J. C. Doyle, K. Glover, A. K. Packard, and R. S. Smith, The μ Analysis and Synthesis Toolbox. MathWorks and MUSYN, 1991.
4. M. K. H. Fan, A. L. Tits, and J. C. Doyle, "Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics," IEEE Trans. Automat. Contr., vol. 36, pp. 25-38, 1991.
5. P. M. Young, M. P. Newlin, and J. C. Doyle, "Practical computation of the mixed μ problem," in Proc. Amer. Contr. Conf., 1992, pp. 2190-2194.
6. R. D. Braatz, P. M. Young, J. C. Doyle, and M. Morari, "Computational complexity of μ calculation," IEEE Trans. Automat. Contr., vol. 39, pp. 1000-1002, 1994.
7. A. K. Packard and J. C. Doyle, "The complex structured singular value," Automatica, vol. 29, pp. 71-109, 1993.
8. G. J. Balas and P. M. Young, "Control design for variations in structural natural frequencies," AIAA J. Guidance, Dynamics Contr., vol. 18, pp. 325-332, 1995.
9. P. M. Young, M. P. Newlin, and J. C. Doyle, "μ analysis with real parametric uncertainty," in Proc. 30th Conf. Decision Contr., 1991, pp. 1251-1256.
10. J. E. Tierno and P. M. Young, "An improved μ lower bound via adaptive power iteration," in 31st IEEE Conf. Decision Contr., 1992, pp. 3181-3186.