Integer and combinatorial optimization
Integer and combinatorial optimization
Linear complementarity systems
SIAM Journal on Applied Mathematics
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
A Hybrid Approach to Traction Control
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Controllers for reachability specifications for hybrid systems
Automatica (Journal of IFAC)
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
Brief Equivalence of hybrid dynamical models
Automatica (Journal of IFAC)
The explicit linear quadratic regulator for constrained systems
Automatica (Journal of IFAC)
Languages and tools for hybrid systems design
Foundations and Trends in Electronic Design Automation
State feedback singular H∞ control for switched linear systems
Control and Intelligent Systems
A hybrid Bellman equation for bimodal systems
HSCC'07 Proceedings of the 10th 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
Timing Control of Switched Systems with Applications to Robotic Marionettes
Discrete Event Dynamic Systems
Research and design on optimal controller of aerial robotics
ROBIO'09 Proceedings of the 2009 international conference on Robotics and biomimetics
Output-Based optimal timing control of switched systems
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
Technical Communique: Evaluation of piecewise affine control via binary search tree
Automatica (Journal of IFAC)
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In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise affine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming.