Numerical Methods for Solving Linear Time Varying Quadratic Optimal Control Problems
In this article, we discussed linear time varying optimal control problems with quadratic performance index, and approximated control variable, state variable and performance index. There are many different numerical processes for approximating of linear
Adane Akate Ayalew
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Two Inverse Problems Solution by Feedback Tracking Control
Two inverse ill-posed problems are considered. The first problem is an input restoration of a linear system. The second one is a restoration of time-dependent coefficients of a linear ordinary differential equation.
Vladimir Turetsky
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Closed-Loop Solvability of Stochastic Linear-Quadratic Optimal Control Problems with Poisson Jumps
The stochastic linear–quadratic optimal control problem with Poisson jumps is addressed in this paper. The coefficients in the state equation and the weighting matrices in the cost functional are all deterministic but are allowed to be indefinite.
Zixuan Li, Jingtao Shi
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Minimizing sequences for a linear-quadratic control problem with three-tempo variables under weak nonlinear perturbations [PDF]
The paper deals with the construction of minimizing sequences for the problem of minimizing a weakly nonlinearly perturbed quadratic performance index on trajectories of a weakly nonlinear system with threetempo state variables. For this purpose,
G.A. Kurina, M.A. Kalashnikova
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Optimal control problems with time inconsistency
In the present study, the necessary and sufficient conditions of equilibrium control for general optimal control problems with time inconsistency are established in sense of open-loop. As an application, the linear quadratic optimal control problems with
Wei Ji
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The paper deals with an application of the direct scheme method, consisting of immediately substituting a postulated asymptotic solution into a problem condition and determining a series of control problems for finding asymptotics terms, for asymptotics ...
Galina Kurina, Margarita Kalashnikova
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Robust Quadratic Optimal Control for Discrete-Time Linear Systems with Non-Stochastic Noises
In this paper, the quadratic optimal control problem is investigated for the discrete-time linear systems with process and measurement noises which belong to specified ellipsoidal sets.
Jiaoru Huang +4 more
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Two numerical methods for nonlinear constrained quadratic optimal control problems using linear B-spline functions [PDF]
This paper presents two numerical methods for solving the nonlinear constrained optimal control problems including quadratic performance index. The methods are based upon linear B-spline functions. The properties of B-spline functions are presented.
Yousof Edrisi-Tabri +2 more
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Novel closed-loop controllers for fractional nonlinear quadratic systems
A novel closed-loop optimal controller for fractional nonlinear quadratic optimal control problems is introduced. By using a new idea, the optimality conditions for the fractional nonlinear problems are derived.
Iman Malmir
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Shooting continuous Runge–Kutta method for delay optimal control problems [PDF]
In this paper, we present an efficient method to solve linear time-delay optimal control problems with a quadratic cost function. In this regard, first, by employing the Pontryagin maximum principle to time-delay systems, the original problem is converted
T. Khanbehbin +3 more
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