Existence of solutions to MIMO relay feedback systems

International Journal of Systems Science

Volumn 36, Issue 10, 2005, Pages 663-668

  Lin, C ^a   Wang, Q G ^a   Lee, T H ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Decentralized relay feedback; Hysterisis; Solution

Indexed keywords

DECENTRALIZED RELAY FEEDBACK; HYSTERISIS; MIMO LINEAR SYSTEMS; SOLUTION;

LINEAR SYSTEMS; SWITCHES; SYSTEMS SCIENCE;

FEEDBACK;

EID: 29344454329     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720500218858     Document Type: Article

References (12)

1. K.J. Astrom and T. Hagglund, PID Controllers: Theory, Design and Tuning, 2nd edition, Research Triangle Park, NC: Instrument Society of America, 1995.
2. R.W. Cottle, J.-S. Pang and R.E. Stone, The Linear Complementarity Problem, Computer Science and Scientific Computing. Boston: Academic Press, 1992.
3. A. F. Filippov, Differential Equations with Discontinuous Righthand Sides, Dordrecht, The Netherlands: Kluwer Academic Publishers, 1988.
4. W.P.M, Heemels, J.M. Schumacher and S. Weiland, "The rational Complementarity problem", Linear Algebra and its Applications, 294, pp. 93-135, 1999.
5. C. Lin and Q.-G. Wang, "On uniqueness of solutions to relay feedback systems", Automatica, 38, pp. 177-180, 2002.
6. Y.J. Lootsma, A.J. van der Schaft and M. K. Camlibel, "Uniqueness of solutions of linear relay systems", Automatica, 35, pp. 467-478, 1999.
7. Z. J. Palmor, Y. Halevi and T. Efrati, "A general and exact method for determining limit cycles in decentralized relay systems", Automatica, 31, pp. 1333-1339, 1995.
8. Ya.Z. Tsypkin, Relay Control Systems, New Jork: Cambridge University Press, 1984.
9. A.J. Van der Schaft and J.M. Schumacher, "Complementarity modeling of hybrid systems", IEEE Transactions on Automatic Control, 43, pp. 483-490, 1998.
10. Q.-G. Wang, B. Zou, T.-H. Lee, and Q. Bi, "Auto-tuning of multivariable PID controllers from decentralized relay feedback", Automatica, 33, pp. 319-330, 1997.
11. Q.-G. Wang, C.-C. Hang and B. Zou, "Multivariable process identification and control from decentralized relay feedback", International Journal of Modelling and Simulation, 20, pp. 341-348, 2000.
12. C.C. Yu, Autotuning of PID Controllers, London: Springer, 1999.