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Main Title: Differential-algebraic Riccati Decoupling for Linear-quadratic Optimal Control Problems for Semi-explicit Index-2 DAEs
Author(s): Heiland, Jan
Type: Research Paper
Abstract: We investigate existence and structure of solutions to quadratic control problems with semi-explicit differential algebraic constraints. By means of an equivalent index-1 formulation we identify conditions for the unique existence of optimal solutions. Knowing of the existence of an optimal input, we provide a representation of the associated feedback-law via a Riccati-like decoupling that is formulated for the original index-2 equations.
Subject(s): optimal control
differential Riccati equation
Euler-Lagrange equations
Issue Date: 16-May-2012
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34H05 Control problems
49J15 Optimal control problems involving ordinary differential equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2012, 06
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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