Decentralized observer-based control for interconnected fractional-order stochastic systems under input saturation using partial state variables

• Published in: Chaos, solitons and fractals Vol. 173; p. 113666
• Main Authors: Yu, Zhongming, Zhang, Yu, Sun, Yue, Dai, Xin
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2023
• Subjects: Control cost; Decentralized control; Interconnected fractional-order system; Observation cost; Stochastic stability; Stochastic stability; Interconnected fractional-order system; Decentralized control; Observation cost; Control cost
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2023.113666

This paper deals with issues of stochastic stability and decentralized control for interconnected fractional-order stochastic systems (IFSSs) with input saturation. At first, model of the IFSS is built. Meanwhile, a decentralized control technique in view of observer and partial state variables of the system is proposed. This method can simultaneously realize the observation and control for the system only by observing and controlling partial state variables. And both observation cost and control cost can also be decreased. Then, by means of fractional calculus theory, a novel stability analysis is shown, and relational stochastic stability criteria are derived. Related results can be applied not only to the common IFSSs, but also to many actual systems, for example power systems and chaotic systems. Additionally, range of the order for the IFSSs is also further enlarged. Eventually, validity of the results is verified via several numerical simulations, and advantages for the control technique developed are presented by comparison. •New stochastic stability results for the IFSS are developed.•A decentralized control approach based on observer and partial variables is proposed.•Compared with related papers, scope of order αi for the IFSS is enlarged.•Related results can also be extended to many real systems.