H∞ Anti-Disturbance Bumpless Transfer Control for Switched Affine Systems With Its Application to a Circuit Model

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 72; no. 1; pp. 238 - 242
• Main Authors: Xie, Jing, Su, Han, Yang, Dong, Niu, Ben
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2025; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: anti-disturbance; Asymptotic stability; bumpless transfer; Circuit stability; Closed loop systems; Control systems; Disturbance observers; H-infinity control; Linear matrix inequalities; Stability criteria; switched affine disturbance observer; Switched affine systems; Switched systems; Switches; Switching circuits; Synthetic aperture sonar
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2024.3505153

This brief concentrates on the problem of <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> anti-disturbance bumpless transfer control (ADBTC) of switched affine systems (SASs) with multiple types of disturbances. The <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> ADBTC strategy is put forward to achieve the bumpless transfer (BT) performance and the anti-disturbance performance, simultaneously. First, a more general switched affine disturbance observer is designed to estimate the external disturbances generated from the external SASs. Secondly, a novel BT performance constraint containing the system state, the disturbance observer state, and the affine terms is proposed to suppress the control bumps. Thirdly, a switched anti-disturbance BT controller and a state-dependent switching law are constructed. Then a solvable condition for the <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> ADBTC problem of SASs is derived. Finally, the proposed control scheme is validated by an example of a circuit model.