In this research, the problem of designing an adaptive state feedback reliable controller is addressed for two H ? erformance index. The second normal' H ? control techniques. A numerical approach is developed based on the Taylor series expansion for solving the HJI. Various simulation examples are given to illustrate the effectiveness of the proposed adaptive reliable control schemes. Key Words Reliable control, control, linear matrix inequality, LMI, distributed time delay, Hamilton-Jacobi- Inequality, HJI.
