Robust Stability Analysis Of Time-varying Linear Systems With Simultaneous Uncertainties In Plant And Controller

There are many solutions to the problem of robust stability of continuous linear time-varying feedback systems.However,for multiple systems and controllers,when there are multiple connected uncertain sets that do not affect each other,the problem of robust stability is more complex.So we can start with two uncertain set problems of system and controller,so as to have a better understanding of the general situation.This article from the system and controller respectively in two uncertainty set prob-lems,based on the operator theory knowledge,integral quadratic constraints method was used to study the problem of the robust stability of linear time-varying feedback inter-connection system.Among them were studied under Vinnicombe's v-gap metric and time-varying gap metric,system and controller respectively in two connected uncertainty set within the system robustness.