A predictive guidance law with uncertain information about the target state

Dionne, Dany; Michalska, H.; Rabbath, C.A.

doi:10.1109/acc.2006.1656357

Cited by 16 publications

(8 citation statements)

References 8 publications

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“…A simplified and intuitive approach to the linearized Gaussian problem was presented in [19]. Expanding upon and consolidating the results of [20][21][22], the present paper presents a novel, unified approach to integrating guidance with estimation in a generalized nonlinear non-Gaussian framework.…”

Section: Introductionmentioning

confidence: 85%

Estimation-Guided Guidance and Its Implementation via Sequential Monte Carlo Computation

Shaviv

Oshman

2017

Journal of Guidance, Control, and Dynamics

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Existing missile guidance strategies are traditionally based on the separation theorem, which has never been proven valid in realistic guidance scenarios. In such cases, only the general separation theorem may be applied, implying a separately designed estimator and a guidance law accounting for the conditional probability density function. A new general-separation-theorem-compliant geometry-based approach is proposed to fusion of estimation and guidance. The conventional notion of reachability sets is extended, facilitating the introduction of miss-sets. A stochastic guidance strategy is proposed that aims at maximizing the pursuer's single-shot kill probability by driving its own miss-set to optimally cover the evader's miss-set (in a probabilistic sense). Information-based trajectory shaping is employed, when applicable, to enhance the scenario's observability, thereby reducing the evader's miss-set uncertainty. Computationally efficient sequential Monte Carlo methods are employed to estimate the evader's missset and implement the guidance scheme. A numerical simulation study is used to demonstrate the proposed methodology's robustness and accuracy in a realistic stochastic engagement. The performance of the proposed strategy is compared with that of an advanced perfect-information guidance law, addressing (in particular) real-time implementation issues and constraints. Proof-of-concept simulations demonstrate that the method is real-time amenable using present-day technology.

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Section: Introductionmentioning

confidence: 85%

Estimation-Guided Guidance and Its Implementation via Sequential Monte Carlo Computation

Shaviv

Oshman

2017

Journal of Guidance, Control, and Dynamics

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“…Instead, they designed the cost function with the interceptor's killing radius and the probability density function of terminal target position. In addition, Dionne et al [10,11] extended Shaviv's work. They considered that the integral interval no longer confined to the interceptor killing radius when constructing integral cost function based on the probability density function, which improves the ability of attacking multi-target for each interceptor.…”

Section: Introductionmentioning

confidence: 90%

Cooperative interception guidance for multiple vehicles: A receding horizon optimization approach

Yang

Liu

Yao

2014

Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference

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In the traditional terminal guidance, the state estimator and guidance law are design independently by assuming the validity of the separation principle and the certainty equivalence principle, which are only valid for linear systems with Gaussian noise. This paper considers the nonlinear terminal guidance system for a target interception problem by multiple vehicles. Firstly, the probability density function of target position at the intercept time instant is predicted based on estimates of the current state considering special environment and possible complex maneuver of the target; Secondly, the cost function related to probability density function of target position is determined, and the multi-vehicle against one target cooperative guidance method is proposed based on receding horizon optimization. Finally, simulation results show the validity of the proposed cooperative guidance approach.

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“…And the influence of target switching on different guidance strategies is also analyzed. Considering the uncertainty of the target information, [2][3][4] focus on the interception problem under the circumstance in which the target information takes the form of a non-Gaussian probability density distribution. It is pointed out that the controller which is designed based on the global probability density function is obviously superior to the one designed just based on the mean value of probability density function in [5].…”

Section: Introductionmentioning

confidence: 99%

“…It is pointed out that the controller which is designed based on the global probability density function is obviously superior to the one designed just based on the mean value of probability density function in [5]. In [2,3], the non-Gaussian probability density function is calculated by a multimodal state estimator, and the corresponding predictive control formulation is also developed. In [2], authors propose a corresponding concept frame referring to the guidance problem of intercepting a target, and take such uncertainties into consideration as the target's current state information, the possible future maneuvering of one-to-one engagement, as well as the recognition of each target in one-to-many engagement.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with traditional linear quadratic optimal guidance method, the advantage of the scheme above is demonstrated via simulation. A novel predictive guidance method is studied and developed in [3,4], leading the interceptor to the zone where the possibility of covering the real target is optimal. And the zone is obtained by integrating the probability density function of the target's lateral position.…”

Section: Introductionmentioning

confidence: 99%

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The terminal guidance law design under the complex detection circumstance

Fang

Yangfan

et al. 2014

Proceedings of the 33rd Chinese Control Conference

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The problem of guidance control of an interceptor against a ballistic missile flying with some decoys around is studied in this paper. Before the determination of the real target, it is necessary for the interceptor to keep targets reachable as many as possible. First, the terminal guidance problem is analyzed under the complex detection circumstance, and the missile-target relative motion equations are established in the line-of-sight coordinate system. Secondly, the Kalman Filter theory is applied to estimate the missile-target relative motion information and the prediction of the targets' state information is obtained. The probability density function of the targets' position is also calculated at the final time. Thirdly, the terminal predictive guidance law is proposed, which leads the interceptor to the optimal position by predicting the optimal set of positions reachable by the interceptor at the end of the interception for the next sampling moment. Finally, the necessary simulation experiments are conducted to illustrate the performance of the proposed method.

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A predictive guidance law with uncertain information about the target state

Cited by 16 publications

References 8 publications

Estimation-Guided Guidance and Its Implementation via Sequential Monte Carlo Computation

Estimation-Guided Guidance and Its Implementation via Sequential Monte Carlo Computation

Cooperative interception guidance for multiple vehicles: A receding horizon optimization approach

The terminal guidance law design under the complex detection circumstance

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