Study and Application of Robust Control for Non-Linear Uncertain Dependent Time-Delay Systems

The design and application of robust controller for a class of uncertain non-linear systems with time-varying state delay are considered. The uncertainties are norm-bounded and the states of the uncertain systems are available. A sufficient condition of robust stability control law is given for the non-linear systems by constructing Lyapunov function. The state feedback control law can be obtained by solving the corresponding linear matrix inequality. At last, the looper MIMO systems of hot strip rolling mill is designed by adopting this method. The application simulation result is presented to illustrate the validity and feasibility of this approach.