Maximizing lower bound stability measure of finite precision PID controller realizations by nonlinear programming

Proceedings of the American Control Conference

Volumn 4, Issue , 1998, Pages 2596-2600

  Istepanian, Robert H ^a   Wu, Jun ^b   Chu, Jian ^b   Whidborne, James F ^c  

^a UNIVERSITY OF PORTSMOUTH   (United Kingdom)

^b ZHEJIANG UNIVERSITY   (China)

^c KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLER IMPLEMENTATION; DIGITAL PID CONTROLLERS; HILL CLIMBING ALGORITHMS; INDEPENDENT VARIABLES; NONLINEAR PROGRAMMING PROBLEM; OPTIMAL REALIZATION; SAMPLED DATA SYSTEMS; STABILITY ROBUSTNESS;

ELECTRIC CONTROL EQUIPMENT; NONLINEAR PROGRAMMING; OPTIMIZATION; SAMPLED DATA CONTROL SYSTEMS; SYSTEM STABILITY;

PROPORTIONAL CONTROL SYSTEMS;

EID: 84881349444     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.703105     Document Type: Conference Paper

References (17)

1. M.K. Masten and I Panahi. Digital signal processors for modern control systems. Control Engg Practice, 5(4):449-458, 1997.
2. L. Qiu, B. Bernhardsson, A. Rantzer, E.J. Davison, P.M. Young, and J.C. Doyle. On the real structured stability radius. In Proc. 12th IFAC World Congress, pages 71-78, Sydney, Australia, 1993.
3. I.J. Fialho and T.T. Georgiou. On stability and performance of sampled-data systems subject to word-length constraint. IEEE Trans. Autom. Control, 39(12):2476-2481, 1994.
4. R.H. Istepanian, I. Pratt, R. Goodall, and S. Jones. Effect of fixed-point parameterization on the performance of active suspension control systems. In Proc. 13th IFAC World Congress, pages 291-295, San Fransisco, CA, 1996.
5. R.H. Istepanian. Implementation issues for discrete PID algorithms using shift and delta operators parameterizations. In A. E. Ruano, editor, Proc. 4th IFAC Workshop on Algorithms and Architectures for Real-Time Control, pages 117-122, Vilamoura, Portugal, 1997.
6. A.G. Madievski, B.D.O. Anderson, and M. Gevers. Optimum realizations of sampled-data controllers for FWL sensitivity measures of finite precision digital minimization. Automatica, 31(4):367-379, 1997.
7. M. Gevers and G. Li. Parametrizations in Control, Estimations and Filtering Problems: Accuracy Aspects. Springer-Verlag, Berlin, 1993.
8. R.H. Middleton and G.C. Goodwin. Digital Control and Estimation: A Unified Approach. Prentice-Hall, Englewood-Cliffs, NJ, 1990.
9. G. Li and M. Gevers. On the structure of digital controllers in sampled data systems with fwl consideration. In Proc. 35th IEEE Conf. Decision Contr., pages 919-920, Kobe, Japan, 1996.
10. R.H. Istepanian, G. Li, J. Wu, and J. Chu. Analysis of sensitivity measures of finite-precision digital controller structures with closed-loop stability bounds. IEE Proc.-D, 1998. To be published.
11. J. Wu, R.H. Istepanian, and J. Chu. Computation of a new lower bound stability measure for sampled data systems with finite word length considerations. IEEE Trans. Control Syst. Technology, 1997. Submitted.
12. H.H. Rosenbrock. An automatic method for finding the greatest or least value of a function. Comp. J., 3:175-184, 1960.
13. A.B. Rad and W.L. Lo. Predictive Pi-controller. Int. J. Control, 60(5):953-975, 1994.
14. J. Kowalik and M.R. Osborne. Methods for Unconstrained Optimization Problems. Elsevier, New York, NY, 1968.
15. L.C.W. Dixon. Nonlinear Optimisation. English Universities Press, London, UK, 1972.
16. G.S.G. Beveridge and R.S. Schechter. Optimization: Theory and Practice. McGraw-Hill, 1972.
17. Y. Hori. A review of torsional vibration control methods and a proposal of disturbance observer based new techniques. In Proc. 13th IFAC World Congress, pages 7-13, San Fransisco, CA, 1996.