A Framework for Analysis of Discrete-time Nonlinear Systems with Time-scale Separation
Averaging and singular perturbation method are two well-known methods to simplify complicated systems. They have been thoroughly investigated for continuous-time systems while there are not many results for discrete-time systems, which become popular when digital actuators and digital sensors are getting popular. The majority of the existing literature for averaging and singular perturbation in the discrete domain assumes that the simplified approximate system is exponentially stable, which is limited. This project tries to build a unified framework to analyse a family of discrete-time systems with multiple time-scales if the simplified approximate models have more general stability properties.
M.Eng. Electrical Engineering, The University of Melbourne, Australia (2020)
B.Eng. Electrical Engineering, Wuhan University, China (2018)