Fractional-order sliding mode control based guidance law with impact angle constraint

Sheng, Yongzhi; Zhang, Zhuo; Xia, L.

doi:10.1007/s11071-021-06820-6

Cited by 26 publications

(10 citation statements)

References 33 publications

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“…Theorem 1. The designed fractional-order sliding surface (24) can reach the equilibrium state s = 0 within finite time T under the action of the reaching law in Equation ( 27).…”

Section: Guidance Law Design and Stability Analysismentioning

confidence: 99%

“…The first step is to prove that the sliding surface ( 24) can converge to s = 0. The second step is to prove the finite-time convergence ability of the sliding surface (24) under the action of the reaching law in Equation ( 27).…”

Section: Guidance Law Design and Stability Analysismentioning

confidence: 99%

“…Thus, based on the existence and accessibility condition of the reaching law for continuous systems [34], it is easy to find that, by selecting k 1 , k 2 > 0, for arbitrary V(t 0 ) ≥ 0, V(t) will converge to zero progressively, which, in turn, implies that the designed fractionalorder sliding surface (24) can reach the equilibrium state s = 0 under the action of the fast power reaching law (27).…”

Section: Guidance Law Design and Stability Analysismentioning

confidence: 99%

“…The simulation results showed that the GSFPID controller gave the best performance, stability and deflection actuator. For the terminal guidance problem of an unpowered lifting reentry vehicle attacking the stationary target, Sheng et al [24] proposed a fractional-order theory that combined the sliding mode guidance law, which was more robust against the disturbance of random noise and ensured a higher precision in terms of the impact angle error and miss distance. 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.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Theorem 1. The designed fractional-order sliding surface (24) can reach the equilibrium state s = 0 within finite time T under the action of the reaching law in Equation ( 27).…”

Section: Guidance Law Design and Stability Analysismentioning

confidence: 99%

Section: Guidance Law Design and Stability Analysismentioning

confidence: 99%

Section: Guidance Law Design and Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fractional-Order Sliding Mode Guidance Law for Intercepting Hypersonic Vehicles

Liu

Yan

et al. 2022

Aerospace

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“…For nonlinear practical application scenarios with timely stabilization and disturbance rejection demands, such as missile interception guidance [1,2], fault detection and recovery [3,4], and attitude orientation of spacecraft [5,6], settling time and disturbance-rejection ability are two important performance specifications of a control system. As a result of this, the finite-time sliding mode control (FTSMC) and fixed-time sliding mode control (FxTSMC), known for their fast convergence rate and strong robustness against disturbance, have been appealing in recent decades [7].…”

Section: Introductionmentioning

confidence: 99%

Continuous Prescribed-Time Sliding Mode Control with A Prescribed-Time ESO for Second-Order Nonlinear Systems with Mismatched Disturbance

Wang

Guan

et al. 2021

Preprint

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This paper aims to settle the continuous prescribed-time stabilization problem of second-order nonlinear systems with mismatched disturbances. A continuous prescribed-time sliding mode control (CPTSMC) method with a prescribed-time extended state observer (PTESO) is proposed. The PTESO can precisely estimate the unknown states and disturbances, with its upper bound for the settling time (UBST) prescribed by only one parameter more tightly than existing finite-time or fixed-time ESOs. Furthermore, as a common concern for ESOs, the peaking value problem is well addressed. Then, a novel prescribed-time convergent form with little conservatism and simple tuning procedures is designed, and the internal mechanism in acquiring higher transient performance is explicitly researched. By using the estimated states and disturbances, the CPTSMC makes system states converge in a chattering-alleviated manner following the novel prescribed-time form. In addition to proving that the UBST of the whole system is tightly prescribed by only one design parameter, we show the continuity of the CPTSMC and the boundedness of all system signals, which are vital for practical applications. Ultimately, numerical simulations on the second-order system and a DC motor servo verify the efficiency of the proposed control system.

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