Reliable l 2 – l ∞ and H ∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback

Abstract EN

The reliable l 2 – l ∞ and H ∞ control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control.

The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a given l 2 – l ∞ and H ∞ disturbance attenuation level being satisfied.

Some sufficient conditions are obtained in terms of linear matrix inequalities (LMIs), and the controller design method is also proposed.

Finally, a numerical example is included to illustrate the effectiveness of our proposed results.