Abstract: In this paper, a continuous finite-time-convergent differentiator is presented based on a strong Lyapunov function. The continuous differentiator can reduce chattering phenomenon sufficiently than normal sliding mode differentiator, and the outputs of signal tracking and derivative estimation are all smooth. Frequency analysis is applied to compare the continuous differentiator with s...

This paper considers dynamical systems that are derived from mechanical systems with impacts. In particular we will focus on chattering— accumulation of impacts—for which local discontinuity mappings will be derived. We will first show how to use these mappings in simulation schemes, and secondly how the mappings are used to calculate the stability of limit cycles with chattering by solving the...

This paper deals with chaos synchronization between two different uncertain fractional order chaotic systems based on adaptive fuzzy sliding mode control (AFSMC). With the definition of fractional derivatives and integrals, a fuzzy Lyapunov synthesis approach is proposed to tune free parameters of the adaptive fuzzy controller on line by output feedback control law and adaptive law. Moreover, c...

This paper proposes a second-order terminal sliding mode control for a class of uncertain input-delay systems. The input-delay systems are firstly converted into the input-delay free systems and further converted into the regular forms. A linear sliding mode manifold is predesigned to represent the ideal dynamics of the system. Another terminal sliding mode manifold surface is presented to driv...

The main purpose of this paper is to integrate fuzzy logic control and sliding mode control techniques based on backstepping approach to develop a robust fuzzy backstepping sliding mode controller (RFBSMC) for an under-actuated quadrotor UAV system under external disturbances and parameter uncertainties. First, a robust backstepping sliding mode control for quadrotor is introduced briefly. More...

This paper presents a new approach used for switched reluctance motors (SRM) speed control. Two nonlinear controller, one is variable structure with sliding mode controlled type (VSC) and the other is PI-like fuzzy controller (FLC), define a new control structure. The VSC acts mainly in a transient state which is increasing system stability limits. But, PI-like FLC controller acts in the steady...

In this paper, an algorithm for the sliding mode control of typical nonlinear systems is proposed. It is based on speed/distance relation during the reaching phase and the state velocity versus state variable relation of 2nd-order nonlinear systems. A new speed control relationship in the reaching phase is developed. The result shows that such relationship performs better than similar ones, and...

This paper proposes an artificial intelligence integrated (AI) fractional order robust control for a DFIG based wind energy conversion system. To reduce the chattering phenomena in excitation signal, fuzzy system is employed adaptive adjustment of discontinuous gain while preserving robustness closed-loop The stability closed loop with (FFORC) ensured using Lyapunov proposed FFORC scheme tested...

This paper presents a sliding mode filter for removing noise. It effectively removes impulsive noise and high-frequency noise with producing smaller phase lag than linear filters. In addition, it is less prone to overshoot than previous sliding mode filters and it does not produce chattering. It is computationally inexpensive, and thus suitable for realtime applications. The proposed sliding mo...

In the conventional sliding mode control, a discontinuous switching control signal is applied. It makes the system invariant to parametric uncertainty and external disturbance, but also causes actuator chattering. This paper considers a tracking control of robot manipulators using a dynamic sliding mode control, where a global invariance is achieved and the resulting control signal is chatterin...