Design of Full State Jump Reset Observer with General Reset Condition and Jump Dynamics

摘要

The reset observer is a reset system based observer. The hybrid dynamics of the reset system consists of continuous-time dynamics and jump behaviour. The jump behaviour means the state jump which occurs when a state dependent algebraic condition is satisfied. In the recent results of the reset observer, jump behaviour is restricted to the auxiliary system which is introduced to improve the steady state performance in state estimation. On the other hand, the reset observer such that all states are allowed to jump is discussed in this work. In this setting, the jump behaviour comes to be more directly concerned with the stability and performance of the error dynamics. The stability condition of error dynamics and several design strategy of observer based control are proposed via LMI (Linear Matrix Inequality) approach.