A new robust control strategy coefficient diagram method (CDM), which is an algebraic approach applied to a polynomial loop in the parameter space, is studied in this paper. Here, a model-based CDM is developed and proposed for uncertain systems. A special diagram called a coefficient diagram, which is used as a vehicle to carry the necessary information and as the criteria of good performance, is designed and modified accordingly. The performance of this novel controller is illustrated through several examples, and numerical results are provided.
Djaferis, T. E.1995: Robust control design: a polynomial approach. Boston: Kluwer Academic.
2.
Fu, K. S., Gonzales, R. C. and Lee, C. S. G.1987: Robotics: control, sensing, vision and intelligence. Singapore: McGraw-Hill.
3.
Hamamci, S. E. and Ucar, A. 2000: A model based CDM controller for uncertain systems. The 16th IFAC Workshop on Distributed Computer Control Systems, DCCS2000, Sydney.
4.
Hori, Y. 1994: 2-mass system control based on resonance ratio control and Manabe’s polynomials. First Asian Control Conference, Tokyo.
5.
Kim, Y. C., Cho, T. S. and Kim, H. S. 2000: Comparative studies of control design method. ASSC’2000 3rd Asian Control Conference, Shanghai.
6.
Lipatov, A. and Sokolov, N.1979: Some sufficient conditions for stability and instability of continuous linear stationary systems. Automatic Remote Control39, 1285-1291.
7.
Manabe, S. 1998: Coefficient diagram method. 14th IFAC Symposium on Automatic Control in Aerospace, Seoul.
8.
Manabe, S. and Kim, Y. C. 2000: Recent development of coefficient diagram method. ASSC ’2000 3rd Asian Control Conference, Shanghai.
9.
Saito, K., Muta, K. and Manabe, S. 1995: A solution of the benchmark problem by coefficient diagram method. American Control Conference, Seattle, Washington.
10.
Ucar, A. and Hamamci, S. E. 2000: A controller based on coefficient diagram method for the robotic manipulators. In Proceedings of the 7th IEEE International Conference on Electronics, Circuits and Systems, Vol. 2, 777-781.
11.
Utkin, V. I.1992: Sliding mode in control optimization. Berlin: Springer-Verlag.
12.
Zhou, K., Doyle, J. C. and Glover K.1996: Robust and optimal control. Englewood Cliffs, New Jersey: Prentice Hall.