Decentralized adaptive finite‐time fault‐tolerant control for a class of high‐power interconnected nonlinear systems via graph theory

Abstract

SummaryThis article investigates the decentralized adaptive finite‐time fault‐tolerant control (FTC) for unknown strong interconnected nonlinear systems with high‐powers and actuator faults. The powers are the ratio of positive odd rational integers and may be different, which makes the presented scheme different from existing work on interconnected nonlinear systems. The considered interconnections are governed by some boundary functions that grow nonlinearly in the states of all subsystems. First, the difficulty brought by high powers to controller design is overcome by introducing the adding one power integrator method. Then, based on backstepping method and FTC theory, a decentralized adaptive algorithm is proposed without approximate structure (neural network, fuzzy logic, etc.), which adaptively compensates the impact of actuator faults. Besides, with the aid of algebraic graph theory, the system is stable under practical finite‐time concept. Finally, the effectiveness of the theoretical findings are validated by conducting two simulation examples.