H∞ Controller Design for the SISO Case Using a Wiener Approach

IEEE Transactions on Automatic Control

Volumn 36, Issue 10, 1991, Pages 1204-1208

  Fragopoulos, D ^a   Grimble, M J ^a   Shaked, U ^b  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, DISCRETE TIME; MATHEMATICAL TECHNIQUES - POLYNOMIALS; MATHEMATICAL TECHNIQUES - TRANSFER FUNCTIONS; OPTIMIZATION; SYSTEM STABILITY;

CAUCHY INTEGRAL FORMULA; DIOPHANTINE EQUATION; H-INFINITY CONTROLLER; LINEAR QUADRATIC GAUSSIAN PROBLEM; SISO SYSTEM; SPECTRAL FACTORIZATION;

CONTROL SYSTEMS, OPTIMAL;

EID: 0026238753     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.90237     Document Type: Article

References (10)

1. G. D. Brown, M. J. Grimble, and D. Biss, “A simple, efficient H∞\ controller algorithm,” presented at 1987 Conf. Decision Contr., LA, 1987.
2. P. A. Fuhrmann, “A polynomial approach to Hankel norm and balanced approximations,” Linear Algebra Appl., vol. 146, pp. 133–220, 1991.
3. M. J. Grimble, “Optimal H∞\ robustness and the relationship to LQG design problems,” Int. J. Contr., vol. 43, pp. 351–372, 1986.
4. M. J. Grimble, “Simplification of the equations in the paper ‘Optimal H∞\ robustness and the relationship to LQG design problems,” ” Int. J. Contr., vol. 46, no. 5, pp. 1841–1843, 1987.
5. H. Kwakernaak, “Minimax frequency domain performance and robustness optimization of linear feedback systems,” IEEE Trans. Automat. Contr., vol. AC-30, pp. 994–1004, 1985.
6. M. Saeki, “Methods of solving polynomial equations for an H∞\ optimal control problem for a single-input single-output discrete-time system,” IEEE Trans. Automat. Contr., vol. 34, pp. 166–168, 1989.
7. U. Shaked, “A general transfer function approach to the steady-state LQG stochastic control problem,” Int. J. Contr., vol. 24, pp. 771–800, 1976.
8. D. C. Youla, J. J. Bongiorno, and H. A. Jabr, “Modern Wiener-Hopf design of optimal controllers—Part I,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 3–15, 1976.
9. J. Dieudonne, Foundations of Modern Analysis. New York: Academic, 1960.
10. M. J. Grimble and M. A. Johnson, Optimal Control and Stochastic Estimation—Vol. II New York: Wiley, 1988.