Linear Quadratic Guidance Laws with Intercept Angle Constraints and Varying Speed Adversaries

Adi Mishley, Vitaly Shaferman

Research output: Contribution to journalArticlepeer-review


The paper proposes two linear quadratic guidance laws, which enable target interception while imposing a predetermined terminal intercept angle. Unlike previous solutions, which usually assume constant missile and target speeds, time-dependent known speed profiles of the adversaries are addressed. The guidance laws are derived for linear, arbitrary-order missile and target dynamics using optimal control and differential games theories. Specific closed-form results are provided for ideal missile and target dynamics with constant axial acceleration adversaries. The performance of the proposed guidance laws is investigated using a nonlinear two-dimensional simulation, and the results are compared to two state-of-the-art optimal control and differential-games-based guidance laws that can impose the intercept angle. It is shown that the proposed guidance laws can intercept the target with small miss distances and intercept angle errors and that they have better performance than the compared state-of-the-art guidance laws when the adversaries’ speeds vary. The selection of which guidance law to use depends on the scenario. When the target is predictable, the optimal-control-based guidance law is better suited; whereas when the target is intelligent, the differential-games-based guidance law is a more appropriate choice.

Original languageEnglish
Pages (from-to)2091-2106
Number of pages16
JournalJournal of Guidance, Control, and Dynamics
Issue number11
StatePublished - Nov 2022

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Space and Planetary Science


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