LQ control for constrained continuous-time systems

DOI10.1016/j.automatica.2004.02.007zbMath1051.93035OpenAlexW2158388573MaRDI QIDQ1883120

Akira Kojima, Manfred Morari

Publication date: 1 October 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.02.007

zbMATH Keywords

Quadratic programmingSingular value decompositionLQ controlIntegral operatorsModel predictive controlConstrained systemContinuous-time systems

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Linear-quadratic optimal control problems (49N10)

Related Items (14)

Reduced order model predictive control for constrained discrete-time linear systems ⋮ A first-order numerical approach to switched-mode systems optimization ⋮ Singular value decomposition for a class of linear time-varying systems with application to switched linear systems ⋮ Explicit/multi-parametric model predictive control (MPC) of linear discrete-time systems by dynamic and multi-parametric programming ⋮ Discrete-time indefinite stochastic linear quadratic optimal control with second moment constraints ⋮ Parametric variational solution of linear-quadratic optimal control problems with control inequality constraints ⋮ INTERACTIVE CHEBYSHEV–LEGENDRE ALGORITHM FOR LINEAR QUADRATIC OPTIMAL REGULATOR SYSTEMS ⋮ A new class of Lyapunov functions for the constrained stabilization of linear systems ⋮ Parametric optimization and optimal control using algebraic geometry methods ⋮ An efficient cost reduction procedure for bounded-control LQR problems ⋮ An interior penalty method for optimal control problems with state and input constraints of nonlinear systems ⋮ Optimal fixed-levels control for nonlinear systems with quadratic cost-functionals ⋮ Linearly Constrained Linear Quadratic Regulator from the Viewpoint of Kernel Methods ⋮ A parametrization of the solutions of the finite-horizon LQ problem with general cost and boundary conditions

Cites Work

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• Classes of linear operators. Vol. I
• On constrained infinite-time linear quadratic optimal control
• Constrained model predictive control: Stability and optimality
• Linear systems with state and control constraints: the theory and application of maximal output admissible sets
• Constrained linear quadratic regulation
• Model predictive control based on linear programming - the explicit solution
• The explicit linear quadratic regulator for constrained systems

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