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 …

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 …

Dynamic optimization of state-dependent switched systems with free switching sequences

J Fu, H Li - Automatica, 2023 - Elsevier
Without necessarily assuming that switching sequences are fixed, a dynamic optimization
method is proposed for optimal control of state-dependent switched systems. First, a …

Generalized solutions to hybrid dynamical systems

RG Sanfelice, R Goebel, AR Teel - ESAIM: Control, Optimisation and …, 2008 - numdam.org
Several recent results in the area of robust asymptotic stability of hybrid systems show that
the concept of a generalized solution to a hybrid system is suitable for the analysis and …

On the hybrid minimum principle: The hamiltonian and adjoint boundary conditions

A Pakniyat, PE Caines - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
The hybrid minimum principle is presented for the optimal control of deterministic hybrid
systems with both autonomous and controlled switchings and jumps where state jumps at …

Hybrid intelligent dynamic optimization of switched systems

H Li, J Fu, T Chai - IEEE Transactions on Artificial Intelligence, 2022 - ieeexplore.ieee.org
In this article, a hybrid intelligent dynamic optimization method integrating of particle swarm
optimization (PSO) and gradient-based optimization (GBO) is proposed for optimal control of …

The minimum principle of hybrid optimal control theory

A Pakniyat, PE Caines - Mathematics of Control, Signals, and Systems, 2024 - Springer
The hybrid minimum principle (HMP) is established for the optimal control of deterministic
hybrid systems with both autonomous and controlled switchings and jumps where state …

Computational method for optimal control of switched systems with input and state constraints

X Wu, K Zhang, M Cheng - Nonlinear Analysis: Hybrid Systems, 2017 - Elsevier
In this paper, we consider an optimal control problem of switched systems with input and
state constraints. Since the complexity of such constraint and switching laws, it is difficult to …

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 …

[PDF][PDF] Optimal control of switched hybrid systems: a brief survey

F Zhu, PJ Antsaklis - ISIS, 2011 - nd.edu
This paper surveys recent results in the field of optimal control of hybrid and switched
systems. We summarize recent results that use different problem formulations and then …