SWITCHING CONTROL BY PHASE TRAJECTORY
Keywords:Switching controllers, phase trajectory, qualitative control, fuzzy interpolative controller, sliding mode.
The paper is discussing the instability that can occur in the case
of switching controllers. The qualitative analyze of the switching
phenomenon is performed by means of the phase trajectory of
the difference between the controllers outputs. The significant
regions of the phase plane are investigated. The second and the
fourth quadrants are recommended for switching, while the first
and the third quadrants must be avoided. An analogy with the
sliding mode method is proposed
D. Leith, R. Shorten, W. Leithead, O. Mason, P. Curran. Issues in the
design of switched linear control systems: a benchmark study.
M.M. Balas, V.E. Balas, T.L. Dragomir. On the Switching Controllersâ€™
Issue and Smooth Controller Switching by Phase Trajectory Qualitative
Analysis, The 6th International Conf. on Recent Advances in Soft
Computing (Abstracts + CD), Canterbury, 10-12 July, 2006, pg. 63.
M.M. Balas. Le flou interpolatif. Conference soutenue a LSIS St. Jerome,
Marseille, 21 Sept. 2006.
E. Asarin, O. Bournez, T. Dang, O. Maler and A. Pnueli. Effective
synthesis of switching controllers for linear systems. Proc. of the IEEE,
vol. 88, no. 7, July, 2000, pp.1011-1025.
L. Foulloy. Qualitative Control and Fuzzy Control: Towards a Writing
Methodology, AICOM Vol. 6, Nrs. 3/4 Sept./Dec., pg. 147-154, 1993.
M.M. Balas, V.E. Balas. The Family of Self Adaptive Interpolative
Controllers, Proc. of IPMU 2004, Perugia, July, 2004, pp. 2119-2124.
L. T. KÃ³czy, M. Balas, M. Ciugudean, V. E. Balas, J. Botzheim. On the
Interpolative Side of the Fuzzy Sets, Proc. of IEEE Sofaâ€™05, Szeged-
Arad, Aug. 2005, pp. 17-23.
Chih-Lyang Hwang, A Novel Takagi-Sugeno-Based Robust Adaptive
Fuzzy Sliding-Mode Controller. IEEE Transactions on Fuzzy Systems,
vol. 12, no. 5, October 2004, pp. 676-687.