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This paper addresses the fuzzy output tracking problem of a class of single-input and single-output unknown nonlinear systems. An adaptive fuzzy controller is developed based on the backstepping approach. The proposed controller guarantees the stability of the closed-loop adaptive system and the good tracking performance. Finally, a simulation example is used to demonstrate the effectiveness of the...
In this paper, we present an algorithm using distance-based two-layer fuzzy sliding mode control (DBTLF-SMC) to achieve the prespecified trajectory for a class of nonlinear systems. The tracking trajectory is composed of a set of sequentially-operated piecewise continuous sliding surfaces which the system's state can follow to the equilibrium in phase plane. The algorithm using the boundary layer...
This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.
The problem of constructing discontinuity surfaces in variable structure systems is studied from a Lyapunov point of view. A switching surface determined by the control coefficient matrix and the associated Lyapunov function is able to ensure asymptotic stability for the system in sliding mode. The proposed method may also be used for systems with nonlinear dynamics and for linear systems with delays.
This article proposes a new method of constructing a sequence of Lyapunov functions which provides more adequate approximation for the exact stability region via the regions which are bounded by a level surfaces of the functions.
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