Design of linear observers for a class of linear hybrid systems

摘要

This paper deals with the design of linear observers for a classof linear hybrid systems. Such systems are composed of continuous-timeand digital substates and possess, in general, coupling dynamics betweenboth substates. The discrete extended state is composed of the sampledvalues of the continuous substate at sampling instants and the digitalsubstate. The estimation of the continuous substate in between samplinginstants is made by using the plant parametrization and the sampledprediction error at the preceding sampling instant. The continuous-timestate estimates are re-initialized at each new sampling instant bytaking values from the corresponding components of the discretizedsubstate of the observer of the auxiliary discrete extended system. Theexponential convergence to zero of both prediction and observationerrors may be ensured under observability and detectability assumptionsin both observation prototypes. Furthermore, prescribed pole-placementof the state estimation error is achieved under observability of thediscrete extended plant. Also, prescribed pole-placement of the combineddynamics of the extended plant and observation error can be obtained