Reliable control of uncertain nonlinear systems

This paper is concerned with the reliable controller design problem for a class of uncertain nonlinear systems. For the primary contingency problem, a procedure of designing reliable nonlinear controllers is presented in terms of solutions of Hamilton-Jacobi inequalities. The resulting closed-loop nonlinear 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 sensors and actuators are operational, but also when some sensor and actuator outages occur.