Fractional order sliding mode guidance law: Improving performance and robustness

Golestani, Mehdi; Ahmadi, Peyman; Fakharian, Ahmad

doi:10.1109/icciautom.2016.7483208

Cited by 6 publications

(2 citation statements)

References 21 publications

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“…Considering a class of skid-to-turn (STT) missiles with impact angle constraint to intercept a maneuvering target, Zhou et al [25] designed a three-dimensional integrated guidance and control law based on the fractional integral terminal SMC. In order to intercept the maneuvering targets, Golestani et al [26] proposed a new guidance scheme considering control loop dynamics by using a fractional-order calculation at an integer-order control to improve the robustness and performance properties. However, the above mentioned guidance schemes based on the FOC are aimed at the stationary targets or low-speed moving targets, which are not suitable for intercepting hypersonic targets.…”

Section: Introductionmentioning

confidence: 99%

Fractional-Order Sliding Mode Guidance Law for Intercepting Hypersonic Vehicles

Liu

Yan

et al. 2022

Aerospace

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This paper addresses the problem of a low-speed missile intercepting a hypersonic vehicle in the longitudinal plane. Firstly, based on the concept of the zero of the angular rate of the line-of-sight (LOS) angle, the guidance system is established by defining the LOS angular rate as the state variable. Secondly, in view of the difficulty of precisely measuring the external disturbance caused by the hypersonic vehicle’s maneuver in the guidance system, a non-homogeneous disturbance observer is designed to precisely estimate the disturbance information. Then, by introducing the fractional-order operator into the sliding surface, a fractional-order fast power reaching (FOFPR) guidance law is proposed based on the fast power reaching law. Simulation examples are carried out in two different maneuver modes of the hypersonic vehicle: the bang-bang maneuver mode and sinusoidal maneuver mode. Besides, comparative experiments are conducted with the proportional navigation (PN) and the integer-order fast power reaching (IOFPR) guidance laws. Finally, the simulation results demonstrate the superiority of the effectiveness of the proposed guidance law.

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Section: Introductionmentioning

confidence: 99%

Fractional-Order Sliding Mode Guidance Law for Intercepting Hypersonic Vehicles

Liu

Yan

et al. 2022

Aerospace

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“…When we consider the memory effect of fractional calculus, which is related to the state value of the system at a past time, a fractional derivative has global characteristics. The fractional derivative of the function shows the history and dependent process of the function change of the control system, while the conventional integral order only has the local property, and the integral derivative is only related to the state near to the derivative time [15,16]. The differential geometry guidance law designed in reference [17] contains the first derivative of the guidance parameters, such as the relative velocity of missile and target, the angular velocity of the line of sight, etc.…”

Section: Introductionmentioning

confidence: 99%

Research on a Differential Geometric Guidance Law Based on Fractional-Order Theory

Tang

2020

IEEE Access

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In this paper, fractional-order calculus theory is used to investigate the geometric law for intercepting an agile target. In order to overcome the challenges presented by the divergence of line of sight rate (LOSR) of proportional navigation (PN), the fractional LOSR is used as a compensated term in the proposed fractional differential geometric guidance law (FDGGL). By adjusting the navigation gain of the FDGGL, the new proposed guidance law can be transformed into the traditional differential geometric guidance law (DGGL) and PN. The average overload and ballistic stability of the FDGGL are analyzed based on the fractional and control theory. Some analytical results about energy consumption and trajectory variation of the FDGGL were obtained. The simulation results shows that, compared with PN and DGGL, the FDGGL has better guidance performance when intercepting different maneuvering targets. INDEX TERMS missile guidance; differential geometric ; fractional; relative motion; command.

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Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint

Xia,

Sheng

2023

2023 35th Chinese Control and Decision Conference (CCDC)

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Fractional order sliding mode guidance law: Improving performance and robustness

Cited by 6 publications

References 21 publications

Fractional-Order Sliding Mode Guidance Law for Intercepting Hypersonic Vehicles

Fractional-Order Sliding Mode Guidance Law for Intercepting Hypersonic Vehicles

Research on a Differential Geometric Guidance Law Based on Fractional-Order Theory

Fractional Order Differential Sliding Mode Guidance Law with Impact Angle Constraint

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