Smooth Adaptive Finite Time Guidance Law with Impact Angle Constraints

Abstract

A smooth guidance law for intercepting a maneuvering target with impact angle constraints is documented based on the nonsingular fast terminal sliding mode control scheme and adaptive control scheme. Different from the traditional adaptive law which is used to estimate the unknown upper bound of the target acceleration, a new adaptive law is proposed to estimate the square of target acceleration bound, which avoids the use of the nonsmooth signum function and therefore ensures the smoothness of the guidance law. The finite time convergence of the guidance system is guaranteed based on the Lyapunov method and the finite time theory. Simulation results indicate that under the proposed guidance law the missile can intercept the target with a better accuracy at a desired impact angle in a shorter time with a completely smooth guidance command compared with the existing adaptive fast terminal sliding mode guidance laws, which shows the superiority of this method.

Integral barrier Lyapunov functions-based integrated guidance and control design for strap-down missile with field-of-view constraint

“…The nonlinear differential equation characterizing the pursuit geometry of missile and target in two-dimensional space can be expressed as follows (Hou et al, 2013; Zhao and Zhou, 2016)…”

Three-dimensional integrated guidance and control for strap-down missiles considering seeker’s field-of-view angle constraint

“…Motivated by the previous discussions, based on the strap-down decoupling model, a novel 3D IGC model with FOV constraint is derived for a skid-to-turn (STT) strap-down missile against a moving target. Then, the IGC law with partial state constraints is formulated by employing dynamic surface control (DSC) method and iBLF technique (Tee and Ge, 2012), and the system uncertainties are estimated and compensated by the adaptive law (Zhao and Zhou, 2016). Simulation results show that the proposed IGC method can achieve the desired interception effect on moving targets without violating the FOV constraint.…”

Profile-Tracking-Based Adaptive Guidance Law against Maneuvering Targets

“…Then, the augmented PN was proposed to compensate target maneuver, but the price paid is the information of target acceleration which cannot be measured directly and is difficult to be accurately estimated [4,5]. To meet the challenge of precisely intercepting agile targets, some advanced control algorithms have been used to develop robust guidance laws, such as sliding mode control [6][7][8][9][10][11], nonlinear H ∞ control [12], dynamic surface control [13], and finite time control [14][15][16][17][18].…”