Guaranteed Cost Consensus for Fuzzy Multi-Agent Systems With Switching Topologies

Abstract

This paper concentrates on guaranteed cost consensus problem for nonlinear multi-agent systems (MASs) under directed switching topologies. First, a novel polynomial fuzzy model is constructed for describing the nonlinear error MASs that are formulated by follower agents and a leader agent. Then, a consensus tracking protocol is devised to ensure that the MASs with changing topologies can achieve agreement. For the established fuzzy MASs, guaranteed cost function is introduced based on error states and control inputs. By the multiple polynomial Lyapunov function, we present relaxed sufficient condition to reach consensus with a guaranteed cost for the fuzzy MASs. Moreover, the designed consensus protocol can realize guaranteed cost by the upper bound for any initial error state. The obtained condition is converted to sum of squares and solved numerically. Finally, an example is given to illustrate the validity of the proposed consensus technique. INDEX TERMS Switching topology, multi-agent system, guaranteed cost, fuzzy modeling.

Fully distributed consensus for fuzzy multiagent systems with jointly connected topology

“…Then, a new distributed adaptive protocol is constructed so that polynomial fuzzy MASs with jointly connected topologies achieve consensus. Compared with the previous related work of the authors [33–35], the distributed adaptive consensus protocol for a class of nonlinear MASs is explored. The adaptive consensus protocol proposed here is fully distributed, which does not need to know the eigenvalues of the Laplacian matrix about the network topologies. The communication topology in previous studies [1, 10, 20, 21, 23, 24] requires either a directed spanning tree or an undirected fixed connected graph.…”

Optimal Type-3 Fuzzy System for Solving Singular Multi-Pantograph Equations

“…One of the recently developed approach for solving deferential equations is the use of intelligent systems and learning techniques [10]. Combination of fuzzy logic systems (FLSs) and learning methods is applied in wide engineering problems, due to the strong capability of this approach [11]- [17]. However, on the best knowledge of authors, this powerful tool has not been applied for solving SMDEs.…”

Dissipative Consensus Tracking of Fuzzy Multi-Agent Systems Via Adaptive Protocol

“…In [26], polynomial fuzzy model was proposed for approximating a nonlinear system, which is a generalization of the T-S fuzzy model [27]. The polynomial fuzzy model is based on sum of squares (SOS) [28] and has attracted wide attention in recent years [29], [30]. To date, few results are reported on adaptive consensus problems with dissipative performance for MASs.…”