Research Of Robust Observer-Based Control For A Class Of Uncertain Systems

Based on Lyapunov stability theory and Linear Matrix Inequality(LMI) approach, the observer-based control for a class of uncertain linear systems is considered. The main results are listed as follows:Firstly, a main result in [28] is proved. In [28], for the following systemx(t)=(A+△A(t))x(t)+(B+△B(t))u(t)y(t)=Cx(t)+Du(t)the author designed the observer-based controller. A sufficient condition of exponential stabilizability for the system was presented. However, the proof of the main result failed to be provided. The detailed proof is given in the dissertation.Secondly, the observer-based control for a class of uncertain linear systems is studied. The parameter uncertainties are modeled as a norm-bound form. Consider the following uncertain systems:x(t)=(A+△A(t))x(t)+(B+△B(t))u(t)y(t)=(C+△C(t))x(t)+Du(t)By using Lyapunov stability theory and Linear Matrix Inequality(LMI) approach, a sufficient condition of exponential stabilizability for the systems is proposed.