Closed-Form Solutions for a Class of Optimal Quadratic Regulator Problems With Terminal Constraints

DOI10.1115/1.3143741zbMath0596.49002OpenAlexW2124215853MaRDI QIDQ3728714

James D. Turner, H. M. Chun, Jer-Nan Juang

Publication date: 1986

Published in: Journal of Dynamic Systems, Measurement, and Control (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3d5255a5a79b996f3217ec2b0b2d3d732c74b1ba

zbMATH Keywords

analytical solutionsterminal constraintscoupled Riccati-like matrix differential equationsoptimal finite-time quadratic regulator problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stabilization of systems by feedback (93D15) Transformations (93B17) Control problems involving ordinary differential equations (34H05) Explicit solutions, first integrals of ordinary differential equations (34A05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

LQ tracking controls with fixed terminal states and their application to receding horizon controls ⋮ Unnamed Item ⋮ A parametrization of the solutions of the finite-horizon LQ problem with general cost and boundary conditions ⋮ Closed-form recursive formula for an optimal tracker with terminal constraints

This page was built for publication: Closed-Form Solutions for a Class of Optimal Quadratic Regulator Problems With Terminal Constraints