This paper addresses the finite-time tracking control problem for a class of nonaffine nonlinear systems with unknown dead zones using an adaptive fuzzy control scheme. The unknown nonlinear functions of the system are approximated by the fuzzy logic systems and a finite-time stability theorem is used to construct the control signal. The novelty of the proposed control method is that the tracking system can reach the stable equilibrium within a finite period of time without the knowledge of the boundaries of the dead zone parameters. The simulation results show that the system is semi-global practical finite-time stable and the tracking deviation converges to a small neighborhood of zero in a finite period of time.

Additional Metadata
Keywords Adaptive systems, Adaptive tracking control, Artificial neural networks, Backstepping, dead zone, finite-time stability, Fuzzy logic, fuzzy logic system (FLS), nonaffine system, Nonlinear dynamical systems, Stability analysis
Persistent URL dx.doi.org/10.1109/TSMC.2018.2871560
Journal IEEE Transactions on Systems, Man, and Cybernetics: Systems
Citation
Bao, J. (Jialei), Wang, H. (Huanqing), Liu, P, & Cheng, C. (Chao). (2018). Fuzzy Finite-Time Tracking Control for a Class of Nonaffine Nonlinear Systems With Unknown Dead Zones. IEEE Transactions on Systems, Man, and Cybernetics: Systems. doi:10.1109/TSMC.2018.2871560