H ∞ control for a class of multi-agent systems via a stochastic sampled-data method

Guoliang Wei; Licheng Wang; Yurong Liu

H _∞ control for a class of multi-agent systems via a stochastic sampled-data method

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Author(s): Guoliang Wei ¹ ; Licheng Wang ¹ ; Yurong Liu ^{2, 3}
- Affiliations: 1: Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, People's Republic of China ;
  2: Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia ;
  3: Department of Mathematics, Yangzhou University, Yangzhou 225002, People's Republic of China
Source: Volume 9, Issue 14, 17 September 2015, p. 2057 – 2065
DOI: 10.1049/iet-cta.2014.1087 , Print ISSN 1751-8644, Online ISSN 1751-8652

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Received 08/10/2014, Accepted 10/05/2015, Revised 15/04/2015, Published 17/06/2015

In this study, the stochastic sampled-data approach is developed to deal with the H _∞ control problem for a class of linear multi-agent systems. For each agent, signals should be transmitted to the control input, including not only its own measurements, but also the output information received from the neighbour agents. The relationships of information communications between the whole multi-agents are totally reflected by a weighted directed graph with a fixed topology structure. To the addressed problem, the author's focus is to design an output feedback controller for each agent such that, for the external energy bounded disturbances, the exponential stability in the mean square sense and interference rejection ability under consideration can be guaranteed. By assuming that the sampling period of each agent switches between two values in a probabilistic way, the stochastic sampling phenomenon is well characterised in every sampling tasks. In virtue of Lyapunov theory and semi-definite programming method, sufficient conditions are derived to ensure the exponential stability as well as H _∞ performance, and the feedback controllers are also designed by solving some certain matrix inequalities. Finally, a numerical simulation is given to demonstrate the validness of the proposed control strategy.

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H _∞ control for a class of multi-agent systems via a stochastic sampled-data method

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