Optimal strictly positive real approximations for stable transfer functions

IEE Proceedings: Control Theory and Applications

Volumn 143, Issue 6, 1996, Pages 537-542

  Damaren, C J ^a   Marquez, H J ^b   Buckley, A G ^c  

^a UNIVERSITY OF CANTERBURY   (New Zealand)

^b UNIVERSITY OF ALBERTA   (Canada)

^c UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Strictly positive real approximations; Transfer functions

Indexed keywords

APPROXIMATION THEORY; CLOSED LOOP CONTROL SYSTEMS; COMPUTER PROGRAMMING; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; MANIPULATORS; OPTIMIZATION; POLES AND ZEROS; POLYNOMIALS; TRANSFER FUNCTIONS;

CONVEX QUADRATIC PROGRAMMING; SINGLE FLEXIBLE LINK MANIPULATION; STRICTLY POSITIVE REAL APPROXIMATION;

CONTROL SYSTEM SYNTHESIS;

EID: 0030281865     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:19960720     Document Type: Article

References (21)

1. DESOER, C.A., and VIDYASAGAR, M.: 'Feedback systems: input-output properties' (Academic Press, New York, 1975)
2. TAYLOR, J.H.: 'Strictly positive-real functions and the LefshetzKalman-Yakubovich (LKY) lemma', IEEE Trans.,1974, CAS-21, pp. 310-311
3. IOANNOU, P., and TAO, G.: 'Frequency domain conditions for strictly positive real functions', IEEE Trans.,1987, AC-32, pp. 53-54
4. LANARI, L., and WEN, J.T.: 'Asymptotically stable set point control laws for flexible robots', Syst. Control Lett.,1992, 19, pp. 119-129
5. BENHABIB, R.J., IWENS, R.P., and JACKSON, R.L.: 'Stability of large space structure control systems using positivity concepts', J. Guid. Control, 1981, 4, (5), pp. 487-494
6. MCLAREN, M.D., and SLATER, G.L.: 'Robust multivariable control of large space structures using positivity', J. Guid., Control Dyn.,1987, 10, (4), pp. 393-400
7. LOZANO-LEAL, R., and JOSHI, S.M.: 'On the design of dissipative LQG-type controllers'.Proceedings of 27th IEEE Decision and Control Conference, 1988, Vol. 2, pp. 1645-1646
8. ∞ controller synthesis', IEEE Trans.,1994, AC-39, (4), pp. 827-831
9. SAFONOV, M.G., JONCKHEERE, E.A., VERMA, M., and LIMEBEER, D.J.N.: 'Synthesis of positive real multivariable feedback systems', Int. J. Control, 1987, 45, (3), pp. 817-842
10. HADDAD, W.M., and BERNSTEIN, D.S.: 'Robust stabilization with positive real uncertainty: Beyond the small gain theorem', Syst. Control Lett.,1991, 17, pp. 191-208
11. SUN, W., KHARGONEKAR, P.P., and SHIM, D.: 'Controller synthesis to render a closed loop transfer function positive real'. Proceedings of American Control Conference, San Francisco, CA, 1993, pp. 1074-1078
12. ANDERSON, B.D.O., and LIU, Y.: 'Controller reduction: Concepts and approaches', IEEE Trans.,1989, AC-34, (8), pp. 802-812
13. KIMURA, H.: 'Optimal L2-approximation with fixed poles', Syst. Control Lett.,1983, 2, pp. 257-261
14. MARQUEZ, H.J., and DAMAREN, C.J.: 'Comments on 'Strictly positive real transfer functions revisited', IEEE Trans.,1995, AC-40, (3), pp. 478-479
15. MARQUEZ, H.J., and DAMAREN, C.J.: 'On the design of strictly positive real transfer functions', IEEE Trans.,1995, CAS-42, (4), pp. 214-218
16. GUILLEMIN, E.: 'Synthesis of passive networks' (John Wiley, New York, 1957)
17. JURY, E.I.: 'Inners and stability of dynamic systems' (Wiley-Interscience, New York, 1974)
18. GOLDFARB, D., and IDNANI, A.: 'A numerically stable dual method for solving strictly convex quadratic programs', Math. Program.,1983, 27, pp. 1-33
19. NAHON, M., and ANGELES, J.: 'Optimization of dynamic forces in mechanical hands', ASME J. Mech. Des.,1991, 113, pp. 167-173
20. POWELL, M.J.D.: 'On the quadratic programming algorithm of Goldfarb and Idnani', Math. Program. Study, 1985, 25, pp. 46-61
21. MURTAGH, B.A., and SAUNDERS, M.A.: 'MINOS 5.1 user's guide'. Technical report SOL 83-20R, Systems Optimization Laboratory, Department of Operations Research, Stanford University, USA, August 1987