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Containment control for fractional-order networked system with intermittent sampled position communication
Yanyan Ye1, Hongzhe Chen1, Jie Tao1
1Guangdong Provincial Key Laboratory of Intelligent Decision and Cooperative Control, and Guangdong-Hong Kong Joint Laboratory for Intelligent Decision and Cooperative Control, School of Automation, Guangdong University of Technology, Guangzhou 510006, China.
Summary
This study introduces novel intermittent communication protocols for fractional-order networked systems to achieve containment control. Results show that delay and past sampled communication are crucial for guaranteeing control under these protocols.
Area of Science:
- Control Systems Engineering
- Networked Systems Analysis
- Fractional Calculus Applications
Background:
- Fractional-order systems present unique challenges in control design due to their complex dynamics.
- Networked systems require efficient communication strategies to maintain control objectives.
- Intermittent communication protocols are essential for reducing communication load in distributed systems.
Purpose of the Study:
- To develop and analyze novel intermittent sampled position communication protocols for fractional-order networked systems.
- To establish necessary and sufficient conditions for achieving containment control.
- To investigate the impact of communication parameters and system delays on control performance.
Main Methods:
- Design of two novel intermittent sampled position communication protocols.
- Derivation of theoretical conditions for containment control based on system order, sampling, and communication width.
- Analysis of the influence of communication delay on control guarantees.
- Validation through numerical simulations.
Main Results:
- The proposed protocols enable controllers to operate only during specific communication intervals.
- Necessary and sufficient conditions for containment control were derived, considering differential order, sampling period, communication width, coupling strengths, and network structure.
- The study highlights the critical role of communication delay and past sampled position communication in ensuring containment control.
- Containment control was found to be unachievable without delay or past sampled communication under the proposed protocols.
Conclusions:
- The developed intermittent communication protocols are effective for achieving containment control in fractional-order networked systems.
- Communication delay and the use of past sampled information are indispensable for successful containment control under these protocols.
- The findings provide valuable insights into the design of robust and efficient control strategies for networked fractional-order systems.
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