Three-Dimensional Impact Time and Angle Control Guidance Based on MPSP

Li, Yang; Zhang, Hao; Chen, Wanchun

doi:10.1155/2019/5631723

Cited by 15 publications

(5 citation statements)

References 24 publications

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“…Adding (21) into (24) and rearranging it, it can be found that the terminal state variation can be expressed as a linear function of the deviation of initial state , , ,…”

Section: B Linear Pseudospectral Model Predictive Spread Controlmentioning

confidence: 99%

“…Therefore, it has high computational efficiency in comparison with the conventional numerical methods and dynamic programming approach. Also, this method has been successfully applied to formulate several optimal guidance laws with terminal angle constraint [6], [19]- [21]. However, to ensure the Euler integration within a desired precision limitation, a large number of discrete points should be selected for MPSP.…”

Section: Introductionmentioning

confidence: 99%

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Suboptimal Impact-Angle-Constrained Guidance Law Using Linear Pseudospectral Model Predictive Spread Control

Chen

Yang

2020

IEEE Access

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This paper aims at proposing a nonlinear suboptimal impact-angle-constrained guidance law for an interceptor engaging against an incoming high-speed ballistic missile in three dimensions. The method is based on an improved Linear Pseudospectral Model Predictive Control (LPMPC), in which the control variable is parameterized as a sum of general standard basis functions with few undetermined coefficients. Although the final solution is suboptimal, a series of analytical improved formulas can be also successively derived to eliminate the final predictive errors, which remains the character that few points will achieve high accuracy. Furthermore, the number of improved variables will significantly decrease, which will further improve the computational efficiency and provide smoother control history. Several numerical simulations are carried out to evaluate the performance of the proposed method. Results show that it performs well in achieving desired impact angles and the near-zero miss distance with high accuracy. In comparison with other typical methods, the proposed method has superior performance in computational efficiency. Therefore, it has the potential to be applied in the framework of guidance.

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“…Adding (21) into (24) and rearranging it, it can be found that the terminal state variation can be expressed as a linear function of the deviation of initial state , , ,…”

Section: B Linear Pseudospectral Model Predictive Spread Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Suboptimal Impact-Angle-Constrained Guidance Law Using Linear Pseudospectral Model Predictive Spread Control

Chen

Yang

2020

IEEE Access

Self Cite

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“…In recent years, the model predictive static programming (MPSP) paradigm has been extensively applied to the field of constrained vehicle guidance, yielding significant advancements. A novel nonlinear guidance law has been formulated utilizing MPSP, facilitating the simultaneous arrival of missiles with diverse initial conditions at their targets, while adhering to terminal impact angle constraints [18]. Building upon the variable time MPSP framework [19], a guidance law has been engineered for three-dimensional nonlinear guidance challenges, incorporating the expected attack time into the objective function to address constraints on both attack time and angle [20].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Terminal Time and Impact Angle Constraint Cooperative Guidance Strategy for Multiple Vehicles

Li,

Hu,

Yang

et al. 2024

Drones

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This paper addresses the guidance of various flight vehicles under multiple constraints in three-dimensional space. A cooperative guidance strategy that satisfies both time and angle constraints is designed to reach a moving target. The strategy is organized into two parts: modeling and programming calculations. First, a nonlinear motion model for guidance is established and normalized, including both the vehicle and the target. Later, the arrival method is automatically determined according to the strategy and depending on the type of target. The cooperative terminal time is determined based on an augmented proportional navigation method. An improved model predictive static programming (MPSP) algorithm was designed as a means of adjusting the adaptive terminal time. Then, the algorithm was used to update the control quantity iteratively until the off-target quantity and the angle of constraints were satisfied. The simulation results showed that the strategy could enable multiple flight vehicles at different initial positions to reach the target accurately at the same time and with the ideal impact angle. The strategy boasts a high computational efficiency and is capable of being implemented in real time.

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“…Departing from controlling remaining flight time, the modified model predictive control (MPC) is adopted to make state variables converge over time, aiming for the simultaneous interception [11]. In a three-dimensional scenario, the model predictive static programming (MPSP) method is used to explore guidance laws incorporating remaining flight time and attack angle constraints [12]. Moreover, cooperative guidance laws incorporating both attack angle and line-of-sight constraints were separately focused, with limited-time convergence guidance laws proposed [13,14].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Encircling Cooperative Guidance for Intercepting Superior Target with Overload, Impact Angle and Simultaneous Time Constraints

Yang,

Yan

2024

Aerospace

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This paper proposes a dynamic encircling cooperative guidance (DECG) law to enable multiple interceptors to cooperatively intercept a superior target, considering low velocity, limited overload, impact angle and simultaneous arrival constraints. First, the feasible escaping area of the target is analyzed and a dynamic encircling strategy for the target is established. This strategy efficiently provides virtual escaping points, allowing interceptors to dynamically encircle the target without excessive energy consumption, ultimately leading to a successful interception. Second, to enhance the physical feasibility of the kinematic equations governing the interaction between interceptors and target at the virtual escaping points, the independent variable is substituted and the kinematic equations are remodeled. Convex optimization is employed to address the multi-constraint optimal guidance problem for each interceptor, thereby facilitating simultaneous interception. Compared with the existing guidance laws, DECG has a more practical and feasible cooperative strategy, is able to handle more constraints including the interceptor’s own constraints and cooperative constraints, and does not rely on the precise calculation of explicit remaining flight time in the guidance law implementation. Lastly, the effectiveness, superiority and robustness of the DECG law are evaluated through a series of numerical simulations, and its performance is compared with that of the cooperative proportional navigation guidance law (CPNG).

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Three-Dimensional Impact Time and Angle Control Guidance Based on MPSP

Cited by 15 publications

References 24 publications

Suboptimal Impact-Angle-Constrained Guidance Law Using Linear Pseudospectral Model Predictive Spread Control

Suboptimal Impact-Angle-Constrained Guidance Law Using Linear Pseudospectral Model Predictive Spread Control

Adaptive Terminal Time and Impact Angle Constraint Cooperative Guidance Strategy for Multiple Vehicles

Dynamic Encircling Cooperative Guidance for Intercepting Superior Target with Overload, Impact Angle and Simultaneous Time Constraints

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