in this paper, a new smooth second order sliding mode control is proposed. this algorithm is a modified form of super twisting algorithm. the super twisting guarantees the asymptotic stability, but the finite time stability of proposed method is proved with introducing a new particular lyapunov function. the proposed algorithm which is able to control nonlinear systems with matched structured u...

in recent years, underactuated nonlinear dynamic systems trajectory tracking, such as space robots and manipulators with structural flexibility, has become a major field of interest due to the complexity and high computational load of these systems. hierarchical sliding mode control has been investigated recently for these systems; however, the instability phenomena will possibly occur, especia...

The mismatched perturbations and system chattering are the two main challenging problems in sliding mode control. This paper tries to solve these problems by deriving the invariant sets created by the sliding mode controller where the present work is devoted to a second order nonlinear affine system. If the state started in these sets it will not leave it for all future time. The first invarian...

In [Dong and Petersen, Sliding Mode Control of Two-Level Quantum Systems, arXiv:1009.0558, quant-ph, 2010], a sliding mode control approach has been proposed for twolevel quantum systems to deal with bounded uncertainties in the system Hamiltonian. This paper further extends these results in two directions. One extension is to consider the effect of uncertainties during the process of driving t...

The problem of angular velocity of rotor and voltage control in synchronous generator machines is considered. As a robust solution of this problem the block control technique with sliding mode is proposed. The physical implementations of the proposed control law for the real synchronous machines results in chattering due to the presence of exciter unmodelled dynamics. In order to reduce the cha...

This paper presents the integrated fault-tolerant control scheme for nonlinear system with multi-fault. After the unknown faults are estimated online by using the fuzzy credit assignment CMAC (FCACMAC), the effective control law reconfiguration strategy based on the sliding mode control technique is used to compensate for the effect of multifault. For multiple faults scenarios and three-tank sy...

It is shown, how to create the continuous system equivalent to the system with sliding mode control. In the case of minimum phase plants, the system arises from the replacement of the relay with small hysteresis by the amplifier with high gain, connected in series with saturation having appropriate parameters. In the case of nonminimum phase (or other difficult plants) it is noted that similar ...

We report the effect of light-induced sliding of the nematic director over an isotropic boundary surface in an azo-dye doped liquid-crystal cell. We show that illumination of the cell with polarized laser light induces transient dynamic sliding followed by permanent reorientation of the director. The two effects are in competition and tend to orient the director along mutually orthogonal direct...