Results and perspectives on computational methods for optimal control of switched systems

X Xu, PJ Antsaklis - … workshop on hybrid systems: Computation and …, 2003 - Springer
This paper surveys some of the recent progresses on computational methods for optimal
control of switched systems. A general model of switched system that allows externally …

Optimal control of switched systems based on parameterization of the switching instants

X Xu, PJ Antsaklis - IEEE transactions on automatic control, 2004 - ieeexplore.ieee.org
This paper presents a new approach for solving optimal control problems for switched
systems. We focus on problems in which a prespecified sequence of active subsystems is …

Optimal control of switching systems

SC Bengea, RA DeCarlo - automatica, 2005 - Elsevier
This paper considers an optimal control problem for a switching system. For solving this
problem we do not make any assumptions about the number of switches nor about the mode …

Optimal control of switched systems via non-linear optimization based on direct differentiations of value functions

X Xu, PJ Antsaklis - International Journal of Control, 2002 - Taylor & Francis
This paper presents an approach for solving optimal control problems of switched systems.
In general, in such problems one needs to find both optimal continuous inputs and optimal …

Linear quadratic optimization for hybrid systems

P Riedinger, F Kratz, C Iung… - Proceedings of the 38th …, 1999 - ieeexplore.ieee.org
A general optimal hybrid control problem which enables a direct maximum principle
approach is presented. Necessary conditions at switching time for controlled and …

Optimal control of switched systems: new results and open problems

X Xu, PJ Antsaklis - Proceedings of the 2000 American Control …, 2000 - ieeexplore.ieee.org
In optimal control problems of switched systems, we may need to find both an optimal
continuous input and an optimal switching sequence since the system dynamics vary before …

An optimal control approach for hybrid systems

P Riedinger, F Kratz - European Journal of Control, 2003 - Elsevier
In this paper optimal control for hybrid systems will be discussed. While defining hybrid
systems as causal and consistent dynamical systems, a general formulation for an optimal …

Optimal control of switched autonomous linear systems

A Giua, C Seatzu… - Proceedings of the 40th …, 2001 - ieeexplore.ieee.org
The paper deals with the optimal control of switched piecewise linear autonomous systems,
where the objective is that of minimizing a quadratic performance index over an infinite time …

A dynamic programming approach for optimal control of switched systems

X Xu, PJ Antsaklis - Proceedings of the 39th IEEE Conference …, 2000 - ieeexplore.ieee.org
In optimal control problems of switched systems, in general, one needs to find both optimal
continuous inputs and optimal switching sequences, since the system dynamics vary before …

Applications of numerical optimal control to nonlinear hybrid systems

S Wei, K Uthaichana, M Žefran, RA DeCarlo… - Nonlinear Analysis …, 2007 - Elsevier
This paper develops a technique for numerically solving hybrid optimal control problems.
The theoretical foundation of the approach is a recently developed methodology by SC …