Linear System Theory and Design
Linear System Theory and Design
Design of Observers for Hybrid Systems
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
Invertibility of switched linear systems
Automatica (Journal of IFAC)
Brief paper: Reachability and observability of linear impulsive systems
Automatica (Journal of IFAC)
State estimation for linear impulsive systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Observability of linear hybrid systems
HSCC'03 Proceedings of the 6th 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
Automatica (Journal of IFAC)
Observer design for a class of piecewise affine hybrid systems
Proceedings of the 16th international conference on Hybrid systems: computation and control
Technical communique: Observer-driven switching stabilization of switched linear systems
Automatica (Journal of IFAC)
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This paper presents a characterization of observability and an observer design method for a class of hybrid systems. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions. A relatively weaker characterization is given for determinability, the property that concerns with recovery of the original state at some time rather than at all times. These conditions are then utilized in the construction of a hybrid observer that is feasible for implementation in practice. The observer, without using the derivatives of the output, generates the state estimate that converges to the actual state under persistent switching.