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Journal ArticleDOI

Adaptive Terminal Guidance for Hypervelocity Impact in Specified Direction

TLDR
In this article, a 3D trajectory for a hypersonic gliding vehicle to impact the target from a specific direction with supersonic speed is proposed. And the conditions for the initial on-line selection of the guidance law parameters for the given impact direction requirement are provided.
Abstract
The problem of guiding a hypersonic gliding vehicle in the terminal phase to a target location is considered. In addition to the constraints on its final position coordinates, the vehicle must also impact the target from a specified direction with very high precision. The proposed 3-dimensional guidance laws take simple proportional forms. The analysis establishes that with appropriately selected guidance parameters the 3-dimensional guided trajectory will satisfy these impact requirements. We provide the conditions for the initial on-line selection of the guidance law parameters for the given impact direction requirement. The vehicle dynamics are explicitly taken into account in the realization of guidance commands. To ensure high accuracy in the impact angle conditions in an operational environment, we develop closed-loop nonlinear adaptation laws for the guidance parameters. We present the complete guidance logic and associated analysis. Simulation results are provided to demonstrate the effectiveness and accuracy of the proposed terminal guidance approach. I. Introduction Recent interests in developing on-demand global-reach payload delivery capability have brought to the forefront a number of underlying technological challenges. Such operations will involve responsive launch, autonomous entry flight, and precision terminal maneuvers. In certain scenarios the mission requirements call for the payload to impact the target location from a specific direction with supersonic speed. One example is to impact the target in a direction perpendicular to the tangent plane of the terrain at the target. The terminal guidance system will be responsible for directing the vehicle to the target and achieving the desired impact direction. The impact precision requirements under the scenarios considered are very high and stringent. For instance, the required Circular Error Probable (CEP) of the impact distance is just 3-meter. 1 The errors of the impact angles are desired to be within 0.5 deg. The very high speeds throughout the terminal phase only make it considerably more difficult to achieve these levels of precision. Yet cost considerations dictate that the terminal guidance algorithm should be relatively simple and computationally tractable for real-time operations. While a number of guidance methods can guide the vehicle to the target, not many address the unique need for impact from a specific direction. One method that can is the so-called “dive-line” guidance approach in Ref. 2. In this method one or more lines intersecting the Earth are established. The final dive-line intersects the target, and its direction can be set to the desired direction. The vehicle’s velocity vector is

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Citations
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Journal ArticleDOI

Impact Time and Angle Guidance With Sliding Mode Control

TL;DR: A novel sliding mode-based impact time and angle guidance law for engaging a modern warfare ship is presented and can be applied to many realistic engagement scenarios which include uncertainties such as target motion.
Journal ArticleDOI

Impact Angle Constrained Interception of Stationary Targets

TL;DR: In many advanced guidance applications, it is required to intercept the target from a particular direction, that is, achieve a certain impact angle as discussed by the authors. But this is not the case in our case.
Journal ArticleDOI

Impact Angle Constrained Guidance Against Nonstationary Nonmaneuvering Targets

TL;DR: In this article, the authors proposed a two-stage proportional navigation guidance (PNG) law for achieving all impact angles against stationary targets in surface-to-surface engagements, with an orientation guidance scheme for the initial phase of the interceptor trajectory.
Journal ArticleDOI

State-Dependent Riccati-Equation-Based Guidance Law for Impact-Angle-Constrained Trajectories

TL;DR: Ohlmeyer and Phillips as discussed by the authors proposed a closed-form solution for energy-optimal impact-angle-constrained guidance laws for a stationary target by using the linear quadratic regulator technique after linearizing the engagement kinematics.
Journal ArticleDOI

Modified Pure Proportional Navigation Guidance Law for Impact Time Control

TL;DR: In this paper, an analytic solution for the time-to-go of the pure proportional navigation guidance law against a stationary target is derived considering full nonlinear engagement kinematics without near-collision course approximation.
References
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Book

Nonlinear Systems Analysis

TL;DR: In this article, the authors consider non-linear differential equations with unique solutions, and prove the Kalman-Yacubovitch Lemma and the Frobenius Theorem.
Journal ArticleDOI

Differential games and optimal pursuit-evasion strategies

TL;DR: In this article, conditions for capture and for optimality are derived for a class of optimal pursuit-evasion problems, and results are used to demonstrate that the well-known proportional navigation law is actually an optimal intercept strategy.
Journal ArticleDOI

Biased PNG law for impact with angular constraint

TL;DR: In this paper, a new homing guidance law is proposed to impact a target with a desired attitude angle, which is a variation of the conventional proportional navigation guidance (PNG) law which includes a supplementary time varying bias.
Journal ArticleDOI

Impact angle control for planar engagements

TL;DR: In this paper, a new and practical terminal guidance law is presented for impact angle control for two-dimensional active homing engagement scenarios, which is used to cope with missile velocity reduction due to aerodynamic drag and target maneuver.
Book

Flight Mechanics of High-Performance Aircraft

TL;DR: In this article, the authors introduce the concept of aerodynamic forces, propulsion systems and hypervelocity re-entry vehicles (HV) for turning flight of a jet aircraft.
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