Optimal Synthesis in a Time-Optimal Problem for the Double Integrator System with a Linear State Constraint

Optimal Synthesis in a Time-Optimal Problem for the Double Integrator System with a Linear State Constraint

We consider a time-optimal problem for the classical “double integrator” system under an arbitrary linear state constraint. Using the maximum principle, we construct the full synthesis of optimal trajectories and provide a qualitative investigation of the measure, the Lagrange multiplier correspondi...

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Veröffentlicht in:Journal of dynamical and control systems 2023, Vol.29 (1), p.21-42
Hauptverfasser: Dmitruk, Andrei, Samylovskiy, Ivan
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of Variations and Optimal Control
Optimization
Control
Double integrators
Dynamical Systems
Dynamical Systems and Ergodic Theory
Lagrange multiplier
Mathematics
Mathematics and Statistics
Maximum principle
Synthesis
Systems Theory
Trajectory optimization
Vibration
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Beschreibung
Zusammenfassung:We consider a time-optimal problem for the classical “double integrator” system under an arbitrary linear state constraint. Using the maximum principle, we construct the full synthesis of optimal trajectories and provide a qualitative investigation of the measure, the Lagrange multiplier corresponding to the state constraint.
ISSN:1079-2724
1573-8698
DOI:10.1007/s10883-021-09589-4