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Extra resources for Recent Advs. in Robust Ctl. - Novel Apprs, Design Methods
This approach is successful when the operating point of the system is restricted to a certain region. Unfortunately, in practice this approach will not work for some physical systems with a time-varying operating point. The fuzzy model proposed by Takagi-Sugeno (T-S) is an alternative that can be used in this case. It has been proved that T-S fuzzy models can effectively approximate any continuous nonlinear systems by a set of local linear dynamics with their linguistic description. This fuzzy dynamic model is a convex combination of several linear models.
Delay-dependent robust stability of uncertain fuzzy systems with time-varying delays, Control Theory and Applications, IEE Proceedings, IET, pp. 417–421. , Wang, Q. & Lee, T. (2006). Delay-dependent lmi conditions for stability and stabilization of t-s fuzzy systems with bounded time-delay, Fuzzy sets and systems Vol. 157(No. 9): 1229 – 1247. Moon, Y. , Kwon, W. H. & Lee, Y. S. (2001). Delay-dependent robust stabilization of uncertain state-delayed systems, International Journal of control Vol.
In some cases, especially in the last the systems does not tend to original equilibrium (zero) but to additional one. Fig. 19. Behavior of output of the submarine depth control system at various a21. Fig. 20. Behavior of output of the submarine depth control system at various a22. Robust Stabilization by Additional Equilibrium Fig. 21. Behavior of output of the submarine depth control system at various a23. Fig. 22. Behavior of output of the submarine depth control system at various a32. Fig. 23.
Recent Advs. in Robust Ctl. - Novel Apprs, Design Methods by A. Mueller