Robust pole assignment in uncertain systems

IEE Proceedings: Control Theory and Applications

Volumn 144, Issue 3, 1997, Pages 217-224

  Soylemez M T ^a   Munro, N ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Cost function visualisation; Pole colouring; Root sets

Indexed keywords

CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; GRAPHIC METHODS; MATRIX ALGEBRA; PARAMETER ESTIMATION; POLES AND ZEROS; PROBABILITY; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS;

POLE COLOURING; UNCERTAIN SYSTEMS;

CLOSED LOOP CONTROL SYSTEMS;

EID: 0031144996     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:19970892     Document Type: Article

References (22)

1. ∝ methods: analysis, design and industrial applications' in TRENTELMAN, H.L., and WILLEMS, J.C. (Eds.): 'Essays on control: perspectives in the theory and its applications' (Birkhauser, 1993) chap. 9
2. DORATO, P.: 'A historical review of robust control', IEEE Control Syst. A tag., 1987, 7, pp. 44-47
3. BARMISH, B.R.: 'New tools for robustness of linear systems' (Macmillan, 1994)
4. FU, M., OLBROT, A.W., and POLIS, M.P.: 'Introduction to the parametric approach to robust stability', IEEE Control Syst. Mag., 1989, 9, pp. 7-11
5. WONHAM, W.M.: 'On pole assignment in multi-input controllable linear systems', IEEE Trails., 1967, AC-12, pp. 660-665
6. MUNRO, N.: 'Pole assignment', Proc. IEE, 1979, 126, (6), pp. 549-554
7. YOUNG, P.C., and WILLEMS, J.C.: "An approach to the linear multivariable servomechanism problem', //!J. J. Control, 1972, 15, (5), pp. 961-979
8. MUNRO, N.: 'Further results on pole-shifting using output feedback', Int. J. Control, 1974, 20, (5), pp. 775-786
9. SÖYLEMEZ, M.T.: 'Robust pole assignment using symbolic algebra. MSc thesis, UM1ST, Manchester-4 UK, October 1994
10. B H ATTACH AR YYA, S.P., CHAPELLAT, H., and KEEL, L.H.: 'Robust control: the parametric approach' (Prentice Hall, 1995)
11. CHEN, C.-L., and MUNRO, N.: 'Calculation of the largest generalized stability hypersphere in the robust stability problem for the maximum settling-time and minimum dampinc-ratio cases', IEEE Trans., 1991, AC-36, pp. 756-759
12. BARMISH, B.R., and TEMPO, R.: The robust root locus', Automatic, 1990, 26, (2), pp. 283-292
13. TSYPKIN, Y.Z., and POLYAK, B.T.: 'Frequency domain criteria for F-robust stability of continous linear systems', IEEE Trans., I991, AC-36, pp. 1464-1469
14. FRAZER, R., and DUNCAN, W.: 'On the criteria for the stability of small motions', Proc. Royal Soc. A, 1929, 124, pp. 642-654
15. HARTMANN, I. (Ed.): 'Robust and insensitive design of multivariable feedback systems -multimodel desisn' (Friedr. Viewcg & Sohn, 1986)
16. BURKARD, R.E., and DERIGS, U.: 'Assignments and matching problems' (Springer-Verlag, 1980)
17. FLEMING, P.J., and PASHKEvfCH, A.P.: 'Computer aided control system design using a multiobjective optimisation approach'. Proceedincs of IEE conference on Control 85, Cambridge, UK, 1985, pp. 174-179
18. HORST, R., and TUY, H.: 'Global optimization: deterministic approaches' (Springer-Verlag, Berlin, 1993, 2nd ed.)
19. ACKERMANN, J.: 'Robust control systems with uncertain physical parameters' (Springer-Verlag, 1993)
20. WOLFRAM, S.: 'Mathematica: a system for doing mathematics by computer' (Addison-Wesley, 1993, 2nd ed.)
21. PATEL, R.V., and MUNRO, N.: 'Multivariable system theory and desisn' (Percamon, 1982)
22. HOLLOT, C, BARTLETT, A., and HUANG-LIN, : 'Root locations of an entire polytope of polynomials: It suffices to check the edges', Math. Control, Signals Syst., 1988, 1, pp. 61-71