The control parameterization method for nonlinear optimal control: a survey

Q Lin, R Loxton, KL Teo - Journal of Industrial and …, 2014 - espace.curtin.edu.au
The control parameterization method is a popular numerical technique for solving optimal
control problems. The main idea of control parameterization is to discretize the control space …

Optimal control of path-constrained switched systems with guaranteed feasibility

J Fu, C Zhang - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
This article considers the optimal control problem for path-constrained switched systems
with guaranteed feasibility. First, a method is proposed to reduce continuous path …

Computational method for a class of switched system optimal control problems

RC Loxton, KL Teo, V Rehbock - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
We consider an optimal control problem with dynamics that switch between several
subsystems of nonlinear differential equations. Each subsystem is assumed to satisfy a …

Optimal control of nonlinear switched systems: Computational methods and applications

Q Lin, R Loxton, KL Teo - Journal of the Operations Research Society of …, 2013 - Springer
A switched system is a dynamic system that operates by switching between different
subsystems or modes. Such systems exhibit both continuous and discrete characteristics—a …

An efficient dynamic optimization algorithm for path-constrained switched systems

C Zhang, J Fu - IEEE Transactions on Neural Networks and …, 2021 - ieeexplore.ieee.org
Dynamic optimization is one of the model-based adaptive reinforcement learning methods,
which has been widely used in industrial systems with switching mechanisms. This article …

Sandwich control systems with impulse time windows

Y Feng, C Li, T Huang - International Journal of Machine Learning and …, 2017 - Springer
In this paper, we formulate a new system, named by sandwich control system with impulse
time windows. The present system is a cyclic control system, composed of three parts in a …

A new computational method for optimizing nonlinear impulsive systems

Q Lin, R Loxton, KL Teo, YH Wu - Dynamics of Continuous …, 2011 - espace.curtin.edu.au
In this paper, we consider a system that evolves by switching between several subsystems
of ordinary differential equations. The switching mechanism is this system induces an …

Time-delay estimation for nonlinear systems with piecewise-constant input

Q Chai, R Loxton, KL Teo, C Yang - Applied Mathematics and Computation, 2013 - Elsevier
We consider a general nonlinear time-delay system in which the input signal is piecewise-
constant. Such systems arise in a wide range of industrial applications, including …

Optimal control problems involving constrained, switched, and delay systems

RC Loxton - 2010 - espace.curtin.edu.au
In this thesis, we develop numerical methods for solving five nonstandard optimal control
problems. The main idea of each method is to reformulate the optimal control problem as, or …

A study of optimization and optimal control computation: exact penalty function approach

C Yu - 2012 - espace.curtin.edu.au
In this thesis, We propose new computational algorithms and methods for solving four
classes of constrained optimization and optimal control problems. In Chapter 1, we present a …