1999 Volume 11 Issue 5 Pages 823-829
In this paper, we investigate the characteristics of the fuzzy control system in the membership function's overlap region. That is, first, we divide the state space and assign the system satisfying a condition in each divided region by the linear state feedback control. And, using the membership function defined in this paper, we infer the whole feedback control of the system by the fuzzy reasoning. Next, we show that this system has the composite eigenvector and eigenvalue in the membership function's overlap region. Then, we calculate the composite eigenvector for a two dimensional control system, and investigate the characteristics of the composite eigenvector. Lastly, we show a simple calculation method of the membership function values which produce the composite eigenvalue for the system with the scalar control. And, using this method, we propose a design method of the system which has the given composite eigenvalues.
