Optimal Control of Systems Subject to Input-Dependent Hydraulic Delays
Charles-Henri Clerget, Nicolas Petit
Abstract
In this article, we study the optimal control of systems subject to input-varying hydraulic delays, i.e., systems where the delay on the input depends on the past values of the input through a specific integral relation. The calculus of variations of this problem reveals its nondifferentiable nature. Then, a smooth relaxation is proposed to derive an iterative optimization algorithm. A convergence proof is detailed. The practical interest of the algorithm is evidenced on a numerical example.
Topics & Concepts
Convergence (economics)Optimal controlControl theory (sociology)Relaxation (psychology)Mathematical optimizationMathematicsRelation (database)Computer scienceSubject (documents)Control (management)Applied mathematicsArtificial intelligenceDatabaseLibrary scienceSocial psychologyEconomic growthEconomicsPsychologyStability and Controllability of Differential EquationsAdvanced Control Systems OptimizationNumerical methods for differential equations