Parametric Regularization of a Linear-quadratic Problem on a Set of Piecewise Linear Controls
Известия Иркутского государственного университета: Серия "Математика", 2022 A linear-quadratic problem with arbitrary matrices in the functional and multidimensional control with convex constraint is considered. Acceptable controls are piecewise linear vector functions within an uneven grid of possible corner points.
V.A. Srochko, E.V. Aksenyushkina
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Linear quadratic optimal control
, 2015 Linear quadratic optimal control is a collective term for a class of optimal control problems involving a linear input-state-output system and a cost functional that is a quadratic form of the state and the input.
Samad, Tariq +2 more
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Using block pulse functions for seismic vibration semi-active control of structures with MR dampers
Results in Physics, 2018 This article applied the idea of block pulse functions in the semi-active control of structures. The BP functions give effective tools to approximate complex problems.
Saeed Rahimi Gendeshmin, Daniel Davarnia
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The Regular Indefinite Linear Quadratic Optimal Control Problem: Stabilizable Case [PDF]
SIAM Journal on Control and Optimization, 2018 This paper addresses an open problem in the area of linear quadratic optimal control. We consider the regular, infinite-horizon, stability-modulo-a-subspace, indefinite linear quadratic problem under the assumption that the dynamics are stabilizable.
Marijan Vukosavljev +2 more
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A solving tool for fuzzy quadratic optimal control problems [PDF]
In this paper we propose an iterative method to solve an optimal control problem, with fuzzy target and constraints. The algorithm is developed in such a way as to satisfy the target function and the constraints.
Silvio Giove, Paolo Bortot
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Zero-order Approximation of Three-time Scale Singular Linear-quadratic Optimal Control Problem
Моделирование и анализ информационных систем, 2015 This paper is devoted to the construction of a zero-order approximation of the solution of a three-time scale singular perturbed linear-quadratic optimal control problem with the help of the direct scheme method.
M. A. Kalashnikova
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Algorithms, 2020 In this paper we study the optimization of the discrete-time stochastic linear-quadratic (LQ) control problem with conic control constraints on an infinite horizon, considering multiplicative noises. Stochastic control systems can be formulated as Markov
Ruobing Xue, Xiangshen Ye, Weiping Wu
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The Optimal Linear Quadratic Feedback State Regulator Problem for Index One Descriptor Systems [PDF]
In this note we present both necessary and sufficient conditions for the existence of a linear static state feedback controller if the system is described by an index one descriptor system. A priori no definiteness restrictions are made w.r.t.
Salmah, Y. +2 more
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OPTIMAL CONTROL OF PARTIALLY OBSERVABLE LINEAR QUADRATIC SYSTEMS WITH ASYMMETRIC OBSERVATION ERRORS [PDF]
This paper deals with the optimal quadratic control problem for non-Gaussian discrete-time stochastic systems. Our main result gives explicit solutions for the optimal quadratic control problem for partially observable dynamic linear systems with ...
Rosario Romera
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Convergence of Discrete-time Approximations of Constrained Linear-Quadratic Optimal Control Problems [PDF]
, 2010 Continuous-time linear constrained optimal control problems are in practice often solved using discretization techniques, e.g. in model predictive control (MPC).
Han, L., +16 more
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