Journal ArticleDOI
A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints
TLDR
In this article, a hybrid of block-pulse functions and Lagrange interpolation is proposed to solve nonlinear optimal control problems with multiple delays in which the state trajectory and control input are subject to mixed state-control constraints.About:
This article is published in Applied Mathematical Modelling.The article was published on 2018-01-01. It has received 17 citations till now. The article focuses on the topics: Constraint algorithm & Lagrange multiplier.read more
Citations
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Journal ArticleDOI
Fibonacci wavelets and their applications for solving two classes of time‐varying delay problems
Journal ArticleDOI
Solution of delay fractional optimal control problems using a hybrid of block-pulse functions and orthonormal Taylor polynomials
TL;DR: An efficient direct approach for solving delay fractional optimal control problems based on a hybrid of block-pulse functions and orthonormal Taylor polynomials and the method of Lagrange multipliers is implemented.
Journal ArticleDOI
Fractional Chebyshev functional link neural network‐optimization method for solving delay fractional optimal control problems with Atangana‐Baleanu derivative
TL;DR: This article proposes a higher order neural network, namely the functional link neural network (FLNN), for the model of linear and nonlinear delay fractional optimal control problems (DFOCPs) with mixed control‐state constraints using a new fractional derivative with nonlocal and nonsingular kernel.
Journal ArticleDOI
Optimal Control Computation for Nonlinear Fractional Time-Delay Systems with State Inequality Constraints
TL;DR: In this paper, a numerical method is developed for solving a class of delay fractional optimal control problems involving nonlinear time-delay systems and subject to state inequality constraints, where the fractional derivatives in this class of problems are described in the sense of Caputo, and they can be of different orders.
Journal ArticleDOI
Multiple-interval pseudospectral approximation for nonlinear optimal control problems with time-varying delays
Xiaojun Tang,Heyong Xu +1 more
TL;DR: Numerical results on benchmark delay optimal control problems including challenging practical engineering problems demonstrate that the proposed pseudospectral scheme is highly accurate, efficient and flexible.
References
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Journal ArticleDOI
Time-delay systems: an overview of some recent advances and open problems
TL;DR: Some open problems are discussed: the constructive use of the delayed inputs, the digital implementation of distributed delays, the control via the delay, and the handling of information related to the delay value.
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Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
TL;DR: In this paper, an approximation scheme involving approximation of linear functional differential equations by systems of high order ordinary differential equations is formulated and convergence is established in the context of known results from linear semigroup theory.
Journal ArticleDOI
Optimal control problems with delays in state and control variables subject to mixed control–state constraints
TL;DR: In this article, a nonlinear programming formulation of the optimal control problem with delays in state and control variables is presented. But the Lagrange multipliers associated with the programming problem provide a consistent discretization of the advanced adjoint equation for the delayed control problem.
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The linear quadratic optimal control problem with delays in state and control variables: a state space approach
TL;DR: In this paper, the authors generalize the results of Vinter and Kwong to a control operator with a more general delay structure than the one in A. Ichikawa and to delay systems with both finite and infinite memories.