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...

In this paper, we extend the sliding mode idea to a class of unmatched uncertain variable structure systems. This method is achieved with introducing a new terminal sliding variable and the finite time stability of proposed method is proved using a new particular finite time condition in both reaching and sliding phases. In reaching phase new sliding mode controller is derived to guarantee the ...

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...

A high-order sliding mode control algorithm is proposed for nonlinear uncertain systems based on geometric homogeneity and fast terminal sliding mode. Homogeneity approach used to stabilize the nominal system, and fast terminal sliding mode used to reject the uncertainty, are applied to constructing the controller. High-order sliding mode is established by the proposed algorithm, the boundary o...

In conventional sliding-mode control systems, the sliding-mode motion is of reduced order. Two main problems hindering the application of the sliding-mode control are the singularity in terminal slidingmode control systems and the chattering in both the conventional linear sliding-mode and the terminal sliding-mode control systems. This paper proposes a chattering-free full-order terminal-slidi...

An optimal strategy based on minimum effort control and also with terminal positionconstraint is developed for an exoatmospheric interceptor with a fixed- interval guidance time. It isthen integrated with sliding-mode control theory to drive an optimal sliding-mode guidance law forfixed-interval guidance time. In addition, this guidance law is generalized for intercepting anarbitrarily time-var...

In this paper, a nonsingular terminal sliding mode concept is introduced for the control of a class of nonlinear dynamical systems. This nonsingular terminal sliding mode control not only enables the £nite time convergence of the system equilibrium, but also eliminates the singularity problem associated with conventional terminal sliding mode control. Simulations are presented to show the effec...

In this paper, the terminal sliding mode tracking control is proposed for the uncertain single-input and single-output (SISO) nonlinear system with unknown external disturbance. For the unmeasured disturbance of nonlinear systems, terminal sliding mode disturbance observer is presented. The developed disturbance observer can guarantee the disturbance approximation error to converge to zero in t...