Adaptive Non-Fragile Finite-Time Tracking Control Of A Class Of Uncertain Systems

In this paper, the non-fragile finite-time tracking control problem is addressed for a class of uncertain linear systems with controller multiplicative coefficient variations. An adaptive control strategy is constructed to ensure that the system tracks a time-varying target orbit. The relationship of the bound of tracking errors and the size of uncertainties and controller multiplicative coefficient variations is deeply investigated. On the basis of Lyapunov stability theory, it shows that the bounded tracking of resulting adaptive system can be reached within a finite time, and the tracking errors of the system can be reduced as small as desired by adjusting controller parameters. The effectiveness of the proposed design is illustrated via a decoupled longitudinal model of F-18 aircraft.