Abstract: This paper is concerned with the reliable state feedback controller design problem for a class of uncertain nonlinear systems with strictly redundant actuators. The uncertainties are described by norm bounded condition. By using dissipative theory, a procedure of designing reliable nonlinear controller is presented on the basis of the solutions of the Hamilton-Jacobi inequality. The resulting closed-loop system is reliable in the sense that the performance (i.e., internal stability and H_∞ attenuation) of the closed-loop system is guaranteed not only when all actuators are operational, but also when any actuator experiences an outage.

Key words: H_∞ theory, reliable control, Hamilton-Jacobi inequality, nonlinear system