Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 53, Issue 9, Pages 5970-5983Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2022.3223894
Keywords
Consensus tracking; distributed average track-ing; distributed observer; fixed time; sliding-mode control; time-based generator
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This article studies the fixed-time distributed consensus tracking and fixed-time distributed average tracking problems for double-integrator-type multiagent systems with bounded input disturbances. A practical robust fixed-time sliding-mode control method based on the time-based generator is proposed. Various observers are designed to estimate state disagreement and measure the average value of reference signals.
In this article, both the fixed-time distributed consensus tracking and the fixed-time distributed average tracking problems for double-integrator-type multiagent systems with bounded input disturbances are studied. First, a new practical robust fixed-time sliding-mode control method based on the time-based generator is proposed. Second, two fixed-time distributed consensus tracking observers for double-integrator-type multiagent systems are designed to estimate the state disagreement between the leader and the followers under undirected and directed communication, respectively. Third, a fixed-time distributed average tracking observer for double-integrator-type multiagent systems is designed to measure the average value of multiple reference signals under undirected communication. Note that all the proposed observers are constructed with time-based generators and can be trivially extended to that for high-order integrator-type multiagent systems. Furthermore, by combining the proposed fixed-time sliding-mode control method with the information provided by the fixed-time observers, the fixed-time controllers are designed to solve the fixed-time distributed consensus tracking and the distributed average tracking problems. Finally, a few numerical simulations are shown to verify the results.
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