Sliding-Mode Impact Time Guidance Law Design for Various Target Motions

Hu, Qinglei; Han, Tuo; Xin, Ming

doi:10.2514/1.g003620

Cited by 106 publications

(21 citation statements)

References 41 publications

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“…Compared to other control methods, SMC has attracted significant interest due to its simplicity, low sensitivity to system parameter variations and high robustness to external disturbances [2]. Therefore, SMC has been developed and applied widely in many applications, including robot manipulators [3], cable-driven manipulators [4], [5], power systems [6], multiagent systems [7] and guidance law design [8].…”

Section: Introductionmentioning

confidence: 99%

A Fast Nonsingular Terminal Sliding Mode Control Method for Nonlinear Systems With Fixed-Time Stability Guarantees

2020

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This paper proposes a nonsingular terminal sliding mode control scheme with fast fixed-time convergence for a class of second-order nonlinear systems in the presence of matched uncertainties and perturbations. First, based on fixed-time stability theory, a novel stable system is proposed. Then, using the fixed-time stable system, a fast fixed-time nonsingular terminal sliding surface is derived. The settling time is independent of the initial system state and can be set in advance with the design parameters; the upper-bound of convergence time is derived from the Lyapunov theory. Moreover, the proposed control scheme has an advantage in convergence rate over existing results and achieves better control performance with low control energy cost. The simulation results for a tracking system with a single inverted pendulum are presented to validate the effectiveness and superiority of the proposed control method. INDEX TERMS Fixed-time stability, nonsingular terminal sliding mode control, nonlinear system.

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Section: Introductionmentioning

confidence: 99%

A Fast Nonsingular Terminal Sliding Mode Control Method for Nonlinear Systems With Fixed-Time Stability Guarantees

2020

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“…Furthermore, it can be found from Equations (28) and (29) that even if the initial heading error is greater than the boundary value (i.e., ϕ 0 > ϕ max ), _ V L ðϕÞ < 0 still holds and the proposed ITCG law turns into PNG, which implies that the heading error of the missile will decrease to the boundary within a certain period prior to implementing the impact time control. In this sense, it allows the presented ITCG law to adapt itself to some extreme conditions.…”

Section: International Journal Of Aerospace Engineeringmentioning

confidence: 99%

“…To avoid considerable effort to time-to-go, the ITCG law without using time-to-go has been developed in recent studies [18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Tekin et al [18][19][20][21][22] proposed a series of notable guidance laws under various conditions using polynomial shaping of the look angle and range and the feedback linearization technique.…”

Section: Introductionmentioning

confidence: 99%

“…In [25], an ITCG law in the form of PNG was proposed by calculating the timevarying navigation gain instead of estimating time-to-go. Several sliding-mode-control-based ITCG laws that do not involve time-to-go were designed in [26][27][28]. A Lyapunovbased ITCG with an exact solution for impact time instead of time-to-go estimate was proposed in [29].…”

Section: Introductionmentioning

confidence: 99%

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Nonsingular PNG-Based Impact Time Control Guidance with Lower Dependence on Time-to-Go Estimate

Chang

Chen

2019

International Journal of Aerospace Engineering

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In a bid to take advantage of natural characteristics of the proportional navigation guidance (PNG) in practical engineering, the PNG-based impact time control guidance (ITCG) continues to be a popular alternative for achieving the desired impact time of a missile. For most such ITCG, the performance is dependent on the accuracy of the time-to-go estimation. Along the lines of the development of PNG-based ITCG in earlier studies, a nonsingular ITCG is proposed on the basis of nonlinear formulations. It is demonstrated that, by theoretical analysis and numerical simulation, this proposed ITCG is shown to be advantageous in certain circumstances. By deriving a novel additional acceleration command, the proposed law is of lower dependence on time-to-go estimate and is capable of eliminating some singularities, leading to wider adjustable range of the desired impact time and better adaptability to more conditions. This research is expected to be supplementary to those presented in the current research literature.

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“…The associate editor coordinating the review of this manuscript and approving it for publication was Jianyong Yao. mode tracking control [2], [3] and optimal control. As deep neural networks shows great potential [4], [5] in recent years, deep RL provides new insight into the guidance law design and is incorporated in our work.…”

Section: Introductionmentioning

confidence: 99%

Learning to Guide: Guidance Law Based on Deep Meta-Learning and Model Predictive Path Integral Control

et al. 2019

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In this paper, we present a novel guidance scheme based on model-based deep reinforcement learning (RL) technique. With model-based deep RL method, a deep neural network is trained as a predictive model of guidance dynamics which is incorporated into a model predictive path integral (MPPI) control framework. However, the traditional MPPI framework assumes the actual environment similar to the training dataset for the deep neural network which is impractical in practice with different maneuvering of the target, other perturbations, and actuator failures. To address this problem, our method utilizes meta-learning technique to make the deep neural dynamics model adapt to such changes online. With this approach, we can alleviate the performance deterioration of standard MPPI control caused by the difference between the actual environment and training data. Then, a novel guidance law for a varying velocity interceptor intercepting maneuvering target with desired terminal impact angle under actuator failure is constructed based on the aforementioned techniques. The simulation and experiment results under different cases show the effectiveness and robustness of the proposed guidance law in achieving successful interceptions of maneuvering target. INDEX TERMS Missile guidance, model predictive control, meta-learning, deep reinforcement learning, impact angle constraint.

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Sliding-Mode Impact Time Guidance Law Design for Various Target Motions

Cited by 106 publications

References 41 publications

A Fast Nonsingular Terminal Sliding Mode Control Method for Nonlinear Systems With Fixed-Time Stability Guarantees

A Fast Nonsingular Terminal Sliding Mode Control Method for Nonlinear Systems With Fixed-Time Stability Guarantees

Nonsingular PNG-Based Impact Time Control Guidance with Lower Dependence on Time-to-Go Estimate

Learning to Guide: Guidance Law Based on Deep Meta-Learning and Model Predictive Path Integral Control

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