Results and perspectives on computational methods for optimal control of switched systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Technical communique: Optimally switched linear systems
Automatica (Journal of IFAC)
Brief paper: Dynamic buffer management using optimal control of hybrid systems
Automatica (Journal of IFAC)
Noncausal Optimal Tracking of Linear Switched Systems
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Brief paper: Optimal switching instants for a switched-capacitor DC/DC power converter
Automatica (Journal of IFAC)
Brief paper: Local energy minimization in optimal train control
Automatica (Journal of IFAC)
ACC'09 Proceedings of the 2009 conference on American Control Conference
Optimal switching of 1-DOF oscillating systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Modeling and optimal control of hybrid rigidbody mechanical systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Analysis of Discrete-Time Linear Switched Systems: A Variational Approach
SIAM Journal on Control and Optimization
Brief paper: Global stabilization of semilinear systems using switching controls
Automatica (Journal of IFAC)
Brief paper: On optimal control of non-autonomous switched systems with a fixed mode sequence
Automatica (Journal of IFAC)
Stabilization and optimization of switched linear systems
Automatica (Journal of IFAC)
Control parameterization enhancing transform for optimal control of switched systems
Mathematical and Computer Modelling: An International Journal
On numerical solution of one class of inverse problems for discontinuous dynamic systems
Automation and Remote Control
Some results on the stabilization of switched systems
Automatica (Journal of IFAC)
The maximum principle for the nonlinear stochastic optimal control problem of switching systems
Journal of Global Optimization
Stochastic maximum principle for nonlinear optimal control problem of switching systems
Journal of Computational and Applied Mathematics
Optimal control of switched systems and its parallel optimization algorithm
Journal of Computational and Applied Mathematics
Hi-index | 22.16 |
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 sequence, they are determined by the solution of the problem. The switching system is embedded into a larger family of systems and the optimization problem is formulated for the latter. It is shown that the set of trajectories of the switching system is dense in the set of trajectories of the embedded system. The relationship between the two sets of trajectories (1) motivates the shift of focus from the original problem to the more general one and (2) underlies the engineering relevance of the study of the second problem. Sufficient and necessary conditions for optimality are formulated for the second optimization problem. If they exist, bang-bang-type solutions of the embedded optimal control problem are solutions of the original problem. Otherwise, suboptimal solutions are obtained via the Chattering Lemma.