Further Studies on State Estimation of Discrete-Time Nonlinear Circuits Based on a Switching-Type Multi-Instant Fuzzy Observer

This brief proposes further studies on fuzzy state estimation of discrete-time nonlinear circuits. In order to give a less conservative result over the most recent one, a new switching-type multi-instant fuzzy observer is introduced and thus different groups of gain matrices can be dispatched in the light of the updated mode about the normalized fuzzy weighting functions. For each possible mode, its corresponding gain matrices are deduced by using a new time-varying balanced matrix method. Compared with the existing time-invariant balanced matrix method, much more freedom can be provided with the aid of the powerful analysis tool of multi-instant homogenous polynomials. As a result, the conservatism is reduced and better performance of fuzzy state estimation is capable of being obtained in this brief. Finally, two advantages of our proposed results are validated via the benchmark example of this field.