Adaptive Super-Twisting Algorithm-Based Nonsingular Terminal Sliding Mode Guidance Law

Abstract

<jats:p>A nonsingular fast terminal sliding mode guidance law with an impact angle constraint is proposed to solve the problem of missile guidance accuracy and impact angle constraint for maneuvering targets. Aiming at the singularity problem of the terminal sliding mode, a fast terminal sliding mode surface with finite-time convergence and impact angle constraint is designed based on fixed-time convergence and piecewise sliding mode theory. To weaken chattering and suppress interference, a second-order sliding mode supertwisting algorithm is improved. By designing the parameter adaptive law, an adaptive smooth supertwisting algorithm is designed. This algorithm can effectively weaken chattering without knowing the upper bound information of interference, and it converges faster. Based on the proposed adaptive supertwisting algorithm and the sliding mode surface, a guidance law with the impact angle constraint is designed. The global finite-time convergence of the guidance law is proved by constructing the Lyapunov function. The simulation results verify the effectiveness of the proposed guidance law, and compared with the existing terminal sliding mode guidance laws, the proposed guidance law has higher guidance precision and angle constraint accuracy.</jats:p>

Adaptive second order sliding mode guidance law for missile-target interception with fuzzy logic system

“…where w 1 , γ 1 , ζ , η, κ are arbitrary positive constants and α m is a small threshold value. Using the adaptation law given in (12), the super-twisting SMC law in ( 11) is enhanced.…”

“…In order to overcome this problem, an adaptive law is developed. [12][13][14] Thus, thanks to the adaptive law, it is not necessary to have the upper bound information of the disturbances and uncertainties. In, 13 the controller based on the supertwisting SMC method with an adaptive law is proposed for the 6 degrees-of-freedom (dof) nonlinear unmanned aerial vehicle and also two separate controllers are designed by taking account into the equations of motion.…”

“…In, 14 a nonsingular adaptive super-twisting guidance is proposed for missile-target planar engagement geometry subject to impact angle constraint. In, 12 a nonsingular fast terminal sliding mode guidance law is developed for the targets. The approach considers maneuvering motion and impact angle constraints and addresses the singularity problem of the terminal SMC scheme.…”

Software Sensor to Enhance Online Parametric Identification for Nonlinear Closed-Loop Systems for Robotic Applications

“…In fact, the author uses the well-known Levant’s differentiator, the so-called Super Twisting (ST) algorithm [ 27 ], and the LS method for online parametric identification of nonlinear systems in the presence of noise. Different new forms of the popular first-order ST differentiator have been proposed and applied with satisfactory results [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ].…”

Research on a New Process of Agile Turn with Engine Reignition Based on Optimal Control

“…is method establishes the attitude dynamics model of the mass moment with complete coupling dynamics characteristics. For intercepting a manoeuvring target, a novel smooth adaptive fixed-time convergent nonsingular terminal sliding mode guidance law is designed in [20]. e sliding mode guidance control law designed in this paper has the characteristics of having no singularity and chattering.…”