Guidance Law Design via Variable Structure Control with Finite Time Sliding Sector
نویسندگان
چکیده
A new guidance law utilizing variable structure control with finite time sliding sector is proposed. First, a finite time sliding sector is defined. The finite time sliding sector is a subset of state space in which the Lyapunov function candidate satisfies the finite time stability condition, in contrast to the commonly used notion of asymptotic stability in conventional sliding sector. Then, based on the finite time sliding sector, a sliding sector control law is designed to move the system state in to the sector in finite time. The target acceleration is considered as an uncertainty. The proposed sliding sector guidance law is derived by supposing the target acceleration upper bound can be estimated as a priori. Simulation results show that the new guidance law is highly effective.
منابع مشابه
Terminal Sliding Mode Control for Nonlinear Systems with both Matched and Unmatched Uncertainties
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 ...
متن کاملInvariant Sliding Sector for Variable Structure Control
A sliding sector has been defined as a subset of the state space, inside which a norm of state decreases with zero control input [1]. In this paper, an invariant sliding sector is defined to be such a kind of sliding sector inside which with a suitable control law, the norm keeps decreasing and the system state stays there since then after entering the sector, i.e. the sector defined in the pap...
متن کاملSystematic Approach to Design a Finite Time Convergent Differentiator in Second Order Sliding Mode Controller
This paper presents a systematic approach to design a Lyapunov based super twisting differentiator. The differentiator will be shown convergent in a finite time whilst the relevant time is accurately estimated. This differentiator is the main part to establish the sliding surface in higher order sliding mode. The differentiator is used in the prescribed control structure to regulate pressure...
متن کاملSecond Order Sliding Mode Control With Finite Time Convergence
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...
متن کاملOptimal Sliding-Mode Guidance Law for Fixed-Interval Propulsive Maneuvers
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...
متن کامل