Robust Semiglobal Coordination of Coupled Harmonic Oscillator Systems Subject to Input Saturation

• Published in: Circuits, systems, and signal processing Vol. 38; no. 5; pp. 1982 - 1999
• Main Authors: Ni, Feng, Sun, Yaping, Yu, Minghui, Huang, Xiangzhao
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.05.2019; Springer Nature B.V
• Subjects: Circuits and Systems; Complex systems; Disturbances; Electrical Engineering; Electronics and Microelectronics; Engineering; Harmonic oscillators; Instrumentation; Oscillators; Robustness (mathematics); Saturation; Signal,Image and Speech Processing; System of systems; Dead zone; Coordination; Input disturbance; Low-and-high-gain feedback; Coupled harmonic oscillators system; SoS
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-018-0949-7

In this paper, we investigate the problems of robust semiglobal coordination of coupled harmonic oscillator systems with input saturation together with dead zone and input additive disturbances, in which the coupled harmonic oscillators can serve as an approximation of modern complex systems in the field of system engineering, such as SoS (system of systems). By virtue of the parameterized low-and-high-gain feedback technique, sufficient conditions are provided to guarantee the robust semiglobal coordination of coupled harmonic oscillator systems with input saturation together with decentralized state-dependent input additive disturbances and distributed state-dependent input additive disturbances. Finally, numerical examples are proposed to verify all the theoretical results.