Reliable H∞ Control for Uncertain Affine Nonlinear Systems

The reliable H-infinity control for uncertain affine nonlinear systems with actuator failures is discussed. A more practical model of actuator failures than outage is adopted. Based on the Hamilton-Jacobi inequality (HJI) approach from nonlinear control theory, the methods for designing of state feedback and dynamic output feedback reliable H-infinity controllers are presented respectively. The resulting closed-loop systems are reliable in the sense that the performance of the system is guaranteed not onlywhen all actuators are operational, but alsowhen some actuator failures occur (internal stability and has a local L-2-gain less than or equal to the given positive constant r).