SIAM Journal on Control and Optimization
Technical communique: A benchmark for optimal control problem solvers for hybrid nonlinear systems
Automatica (Journal of IFAC)
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
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
Hybrid LQ-optimization using dynamic programming
ACC'09 Proceedings of the 2009 conference on American Control Conference
Variational formulation and optimal control of hybrid lagrangian systems
Proceedings of the 14th international conference on Hybrid systems: computation and control
A Proximal Point Based Approach to Optimal Control of Affine Switched Systems
Discrete Event Dynamic Systems
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This contribution addresses the problem of optimal control for a class of hybrid systems, where discrete transitions are accompanied by instantaneous changes in the continuous state variables, and where these changes can be considered as control variables. Based on a variational approach, necessary conditions of optimality are first established. The problem is then cast as a parametric optimization problem for which gradient information is derived. Finally, we discuss assumptions that guarantee convergence of a conceptual algorithm to a stationary solution. A brief discussion on the main implementation issues is also included.