Linear system theory (2nd ed.)
Linear system theory (2nd ed.)
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
Design of Luenberger Observers for a Class of Hybrid Linear Systems
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Design of Observers for Hybrid Systems
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
Conewise Linear Systems: Non-Zenoness and Observability
SIAM Journal on Control and Optimization
Brief paper: Tracking and synchronisation for a class of PWA systems
Automatica (Journal of IFAC)
Observability implies observer design for switched linear systems
Proceedings of the 14th international conference on Hybrid systems: computation and control
Observability of switched linear systems in continuous time
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
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A methodology for the design of observers is proposed for a special class of hybrid dynamical systems, which are motivated by traffic and manufacturing applications. The class of hybrid systems is characterized as switched system models with constant drift and constant output, rendering all subsystems unobservable by themselves. However, an observer can still be derived due to the fixed switching pattern, even though the switching times may be unknown. A main step in the observer design methodology is the usage of a discrete-time linear observer based on the discretized hybrid dynamics at the event times that are visible. Using this step, a continuous-time observer is built that incorporates additional modes compared to the original hybrid system. This continuous-time observer is shown to asymptotically reconstruct the state of the original system under suitable assumptions. Manufacturing and traffic applications are used to illustrate the proposed observer design methodology.