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Robust Admissible Consensus of Discrete-time Singular Multiagent Systems Using Sliding Mode Approach

The robust admissible consensus problem of uncertain discrete-time singular multiagent systems (UDSMASs) is addressed by sliding mode approach. With a leader-follower communication network, linear sliding manifolds and linear sliding mode control laws of error states of neighbor agents are designed to achieve simultaneously the reachability of sliding manifolds and the generalized quadratical stability of the sliding mode dynamics. The distributed admissible consensus control law is based on the sliding mode control laws of error states of neighbor agents and Laplacian matrix. A numerical example is provided to show the effectiveness of the proposed theories.