Title :
Feedback linearization control design for systems with fuzzy uncertainty
Author :
Leland, Robert P.
Author_Institution :
Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA
fDate :
11/1/1998 12:00:00 AM
Abstract :
We derive a state feedback control design for nonlinear systems with fuzzy uncertainty. We use a fuzzy version of the Kolmogorov forward equation and an equivalent deterministic system to represent the effects of the fuzzy uncertainty. Feedback linearization of the equivalent deterministic system cancels both the system nonlinearities and the effects of the fuzzy uncertainty on the state membership function. Our controller obtains asymptotic stability and an approximation to our controller drives the system state to a small bounded set
Keywords :
asymptotic stability; control system synthesis; fuzzy control; fuzzy systems; linearisation techniques; nonlinear control systems; state feedback; uncertain systems; Kolmogorov forward equation; asymptotic stability; deterministic system; feedback linearization control design; fuzzy uncertainty; nonlinear systems; state feedback control design; state membership function; system nonlinearities; Asymptotic stability; Control design; Control systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear feedback control systems; Sliding mode control; State feedback; Uncertainty;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
