AI Article Synopsis
- The article presents a control strategy for achieving consensus in interconnected systems that operate on both fast and slow time scales, while managing uncertainties.
- It introduces two event-triggered mechanisms that independently manage when to sample and transmit data for both fast and slow states, avoiding issues known as Zeno behavior.
- The initial design is based on ideal conditions without uncertainties, and then it expands to include structured uncertainties, ensuring consensus is reached with controlled overall costs, supported by numerical examples.
Article Abstract
This article proposes the design of an event-triggered control strategy for consensus of interconnected two-time scales systems with structured uncertainty. The control design under consideration ensures also that consensus is achieved with an overall guaranteed cost. Since each system involves processes evolving on both fast and slow time scales, two Zeno-free event-triggered mechanisms are designed to independently decide the sampling and transmission instants for the slow and fast states, respectively. As the first step, we design an event-triggering consensus protocol in the ideal/nominal case when the interconnected systems are not affected by uncertainties and the interactions happen over a fixed interaction network. Next, the results are extended in order to take into account structured uncertainties affecting the systems' dynamics. At this step, we go further and we provide sufficient conditions for event-triggering consensus with a guaranteed overall cost. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed theoretical results.
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| http://dx.doi.org/10.1109/TCYB.2020.3026352 | DOI Listing |
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