Using the Diophantine equation in the design of a digital perfect tracking compensator

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 1037-1042

  Marro, G ^a   Marconi, L ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Discrete time; Linear systems; Motion control; Perfect tracking; Predictive control

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIGITAL CONTROL SYSTEMS; LINEAR SYSTEMS; MOTION CONTROL; NUMERICAL METHODS;

DIOPHANTINE EQUATION; DISCRETE TIME; FEED-FORWARD; NON-MINIMUM PHASE; PREDICTIVE CONTROL; STATE-SPACE MODELLING; TWO-DEGREE OF FREEDOM;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84983109369     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082235     Document Type: Conference Paper

References (16)

1. E. K. Bender, "Optimum linear preview control with application to vehicle suspension", ASME J. Basic Eng., vol. 90, n. 2, pp 213-221, (1968).
2. K. J. Åstrom and B. Wittenmark, Adaptive Control (2nd edition), Addison-Wesley, Reading, Massachusetts, (1995).
3. E. Mosca, Optimal, Predictive, and Adaptive Control, Prentice Hall, Englewood Cliffs, N. J., (1995).
4. S. Devasia and B. Paden, "Exact output tracking for nonlinear time-varying systems", Proc. IEEE Conf. on Decision and Control, Lake Buena Vista, CA, pp. 2346-2355, (1994).
5. S. Devasia, B. Paden and C. Rossi, "Minimal transient regulation of flexible structures", Proceedings of the IECON'94, Bologna, Italy, pp. 1761-1766, (1994).
6. L. R. Hunt, G. Meyer and R. Su, "Output tracking for nonlinear systems", Symposium on Implicit and Nonlinear Systems, Arlington, Texas, pp. 314-320, (1992).
7. L. R. Hunt, G. Meyer and R. Su, "Noncausal inverses for linear systems", IEEE Trans. Autom. Contr., vol. 41, no. 4 pp. 608-611, (1996).
8. F. Hamano and G. Marro, "Using preaction to eliminate tracking error in feedback control of nonminimum-phase systems", in press, Proc. IEEE Conf. on Decision and Control, Kobe, Japan, (1996).
9. G. Marro and A. Piazzi, "A geometric approach to multivariable perfect tracking" Proceedings of the 13th World IFAC Congress, San Francisco, U. S. A., vol. C, pp. 241-246, (1996).
10. G. Marro, "Multivariable regulation in geometric terms: old and new results", in Colloquium on Automatic Control, C. Bonivento, G. Marro and R. Zanasi eds., Springer-Verlag, Lecture Notes in Control and Information Sciences, No. 215, New York, (1996).
11. E. Gross, M. Tomizuka and W. Messner, "Cancellation of discrete time unstable zeros by feedforward control", ASME J. Dynamic Syst., Measurement Contr., vol. 116, no. l, pp. 33-38, (1994).
12. E. Gross and M. Tomizuka, "Experimental flexible beam tip tracking control with a trunkated series approximation to uncancelable inverse dynamics", IEEE Trans, on Control Syst. Techn., vol. 3, no. 4, pp. 382-391, (1994).
13. M. Tomizuka, "Zero phase error tracking algorithm for digital control", ASME J. Dynamic Syst., Measurement Contr., vol. 109, no. 1, pp. 65-68, (1987).
14. U. Holmberg, P. Myszkorowsky, Y. Piguet and R. Longchamp, "On compensation of nonminimum phase zeros", Automatica 31, pp. 1433-1441, (1995).
15. U. Holmberg, P. Myszkorowsky and R. Longchamp, "Tracking control with a smooth transient response" Proceedings of the 13th World IFAC Congress, San Francisco, U. S. A., vol. C, pp. 307-311, (1996).
16. G. Marro and M. Fantoni, "Using preaction with infinite or finite preview for perfect or almost perfect digital tracking", Proceedings of the Melecon'96-8th Mediterranean Electrotechnical Conference, Bari, Italy, vol. 1, pp. 246-249, (1996).