Robust H∞ control for descriptor systems with non-linear uncertainties

This paper considers robust performance analysis and robust H(infinity) control for a class of descriptor systems with time-varying and non-linear uncertainties. These uncertainties exist not only in the state, the control input and exogenous input, but also in the derivative of the state. A sufficient condition is firstly proposed to analyse the robust H(infinity) performance problem of the unforced systems. Feasible design procedures are presented to construct both the robust state feedback and output feedback controllers such that the closed-loop system has a unique, non-impulsive and asymptotically stable solution and satisfies a robust H(infinity) performance criterion. A numerical example is provided to show the efficiency of the approach.