Adaptive prescribed performance control for uncertain nonlinear HOFA systems with time delay

This paper focuses on the adaptive prescribed performance control problem for high-order fully actuated (HOFA) system with time delay. Different from the existing results, the proposed adaptive prescribed performance control method can ensure that the HOFA time-delay system can achieve semi-globally practical finite-time stable. In addition, the settling time of this paper is independent of design parameters and initial conditions. Hence, it can be set to any value. Finally, a practical example of a thermoacoustic unstable system in the Rijke tube is selected to verify the effectiveness and feasibility of the scheme.