Adaptive finite integral non-singular terminal synergetic control of nth-order nonlinear systems

This paper proposed a novel finite synergetic control scheme. This controller utilizes an integral non-singular terminal attractor technique that guarantees the finite-time convergence of the states, solves the singularity problem of a conventional terminal attractor manifold, and provides a chattering-free control signal. The principles of this controller are introduced and demonstrated for second and nth-order nonlinear systems. The stability of the controller is verified using Lyapunov stability theory. In addition, an interval type-2 fuzzy logic system is implemented to improve the overall performance of the controller. Analysis of a robotic manipulator and a servo-hydraulic actuator is used to illustrate the efficacy of the proposed Adaptive Finite Integral Non-singular Terminal Synergetic Control (AFINTSC).