Adaptive reset observer design method

In order to improve the rapidity of state estimation and guarantee the accuracy at the same time, a reset element is introduced to observer which resets the outputs of the integral term depending on a predefined condition and then a novel adaptive reset observer is proposed. The linear fundamental limitations are overcame and the overshoot and settling time of the estimation process can be decreased. Firstly an adaptive parameter to the integral term is introduced, then the adaptive reset observer based on the zero crossing reset condition is designed. The state stability of the adaptive reset observer is analysed with the method which is based on the lyapunov function and it is written as an equivalent linear matrix inequality problem. Finally the simulation example is given. Compared with the proportion integral observer, the effectiveness of the proposed method is illustrated.