A Framework for Prescribed-Time Integral Control Design of Feedback Nonlinear Systems

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 71; no. 3; p. 1
• Main Authors: Chen, Xiandong, Li, Jinbao, Zhang, Xianfu, Chen, Chih-Chiang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Buck converters; Controllers; Convergence; Disturbances; dynamic gain technique; Dynamic stability; Feedback; Feedback nonlinear systems; Heuristic algorithms; integral control; matched disturbances; Nonlinear systems; Parameters; prescribed-time regulation; Regulation; System effectiveness; Time varying control systems; Time-varying systems; Uncertainty; Upper bound
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2023.3320626

This paper investigates the global prescribed-time regulation problem for a class of uncertain feedback systems subject to matched disturbances and modeling uncertainties with unknown and time-varying system parameters. New integral controllers consisting of an integral dynamic are proposed to make all states of the uncertain systems bounded and prescribed-time convergent to zero. First, by introducing an integral dynamic and a novel state transformation, the uncertain feedback systems with disturbances are converted into a class of generalized feedback nonlinear systems. Second, by virtue of the dynamic gain technique, the problem of designing prescribed-time regulating controllers for the generalized feedback nonlinear systems is transformed into that of designing a dynamic parameter for a class of new systems. At last, following the Lyapunov stability theorem and characteristic of the dynamic parameter, the boundness of the new systems yields the prescribed-time regulation of the generalized feedback nonlinear systems, which indicates the global prescribed-time regulation of the considered systems. The effectiveness of integral controllers is verified from simulation results in a PWM-based DC-DC buck converter.