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Optimal three-dimensional impact time guidance with seeker’s field-of-view constraint

Shaoming He, Chang-Hun Lee, Hyo‐Sang Shin, Antonios Tsourdos

2020Chinese Journal of Aeronautics79 citationsDOIOpen Access PDF

Abstract

This paper proposes a new three-dimensional optimal guidance law for impact time control with seeker’s Field-of-View (FOV) constraint to intercept a stationary target. The proposed guidance law is devised in conjunction with the concept of biased Proportional Navigation Guidance (PNG). The guidance law developed leverages a nonlinear function to ensure the boundedness of velocity lead angle to cater to the seeker’s FOV limit. It is proven that the impact time error is nullified in a finite-time under the proposed method. Additionally, the optimality of the biased command is theoretically analyzed. Numerical simulations confirm the superiority of the proposed method and validate the analytic findings.

Topics & Concepts

Constraint (computer-aided design)Proportional navigationLimit (mathematics)Nonlinear systemControl theory (sociology)Field of viewComputer scienceField (mathematics)Function (biology)Mathematical optimizationAlgorithmControl (management)MathematicsEngineeringArtificial intelligencePhysicsAerospace engineeringMissileMathematical analysisEvolutionary biologyGeometryBiologyPure mathematicsQuantum mechanicsGuidance and Control SystemsMilitary Defense Systems AnalysisAdaptive Control of Nonlinear Systems
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