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Reciprocally convex approach for cooperative tracking control of general network systems with fixed/switching topologies

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The cooperative tracking problem of general network systems with fixed/switching topology having a directed spanning tree is investigated in this paper. A distributed sampled‐data controller is preferentially designed for each… Click to show full abstract

The cooperative tracking problem of general network systems with fixed/switching topology having a directed spanning tree is investigated in this paper. A distributed sampled‐data controller is preferentially designed for each follower to track the independent leader. By using tools from input‐delay and a reciprocally convex approach, some sufficient conditions ensuring the purpose of tracking are derived. Theoretical analysis is then extended to the case that the topologies of network systems are time‐varying. It is demonstrated that the cooperative tracking problem for network systems can be solved under some sufficient conditions. Through the above investigation, the cooperative tracking problem of general network systems with fixed/switching topology is solved. The capabilities of the proposed control algorithm are finally verified on our experimental platform.

Keywords: general network; systems fixed; network; cooperative tracking; network systems; topology

Journal Title: Asian Journal of Control
Year Published: 2020

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