Applied and computational optimal control

KL Teo, B Li, C Yu, V Rehbock - Optimization and Its Applications, 2021 - Springer
For an optimal control problem, one seeks to optimize a performance measure subject to a
set of dynamic, and possibly algebraic, constraints. The dynamic constraints may be …

Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints

C Liu, Z Gong, C Yu, S Wang, KL Teo - Journal of Optimization Theory and …, 2021 - Springer
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 …

Dynamic optimization for switched time-delay systems with state-dependent switching conditions

C Liu, R Loxton, Q Lin, KL Teo - SIAM Journal on Control and Optimization, 2018 - SIAM
This paper considers a dynamic optimization problem for a class of switched systems
characterized by two key attributes:(i) the switching mechanism is invoked automatically …

Deep neural networks-based real-time optimal navigation for an automatic guided vehicle with static and dynamic obstacles

Z Ren, J Lai, Z Wu, S **e - Neurocomputing, 2021 - Elsevier
In this paper, a hybrid-intelligent real-time optimal control approach based on deep neural
networks (DNNs) is proposed to improve the autonomy and intelligence of automatic guided …

A new computational approach for optimal control problems with multiple time-delay

D Wu, Y Bai, C Yu - Automatica, 2019 - Elsevier
The control parameterization method used together with the time-scaling transformation is
an effective approach to approximating optimal control problems into optimal parameter …

Solution of delay fractional optimal control problems using a hybrid of block-pulse functions and orthonormal Taylor polynomials

HR Marzban, F Malakoutikhah - Journal of the Franklin Institute, 2019 - Elsevier
This paper introduces an efficient direct approach for solving delay fractional optimal control
problems. The concepts of the fractional integral and the fractional derivative are considered …

Analysis of nonlinear fractional optimal control systems described by delay Volterra–Fredholm integral equations via a new spectral collocation method

HR Marzban, A Nezami - Chaos, Solitons & Fractals, 2022 - Elsevier
We aim to introduce a new spectral collocation method for investigating and analyzing
nonlinear delay control systems governed by the fractional mixed Volterra–Fredholm …

[PDF][PDF] Control parameterization approach to time-delay optimal control problems: A survey.

D Wu, Y Chen, C Yu, Y Bai, KL Teo - Journal of Industrial & …, 2023 - researchgate.net
Control parameterization technique is an effective method to solve optimal control problems.
It works by approximating the control function by piece-wise constant (or linear) function. In …

An enhanced control parameterization technique with variable switching times for constrained optimal control problems with control-dependent time-delayed …

C Yu, KH Wong - Journal of Computational and Applied Mathematics, 2023 - Elsevier
In this paper, we consider an optimal control problem whose dynamic system consists of
control-dependent time-delayed arguments in the control and discrete time-delayed …

[HTML][HTML] A direct approach for the solution of nonlinear optimal control problems with multiple delays subject to mixed state-control constraints

HR Marzban, H Pirmoradian - Applied mathematical modelling, 2018 - Elsevier
This paper deals with the numerical investigation of nonlinear optimal control problems with
multiple delays in which the state trajectory and control input are subject to mixed state …