A sum-of-squares approach to consensus of nonlinear leader-follower multi-agent systems based on novel polynomial and fuzzy polynomial models

DOI10.1016/j.jfranklin.2017.09.022zbMath1380.93020OpenAlexW2762413806MaRDI QIDQ682717

Mohammad Mehdi Mardani, Mokhtar Shasadeghi, Pegah Tabarisaadi, Behrouz Safarinejadian

Publication date: 5 February 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.09.022

zbMATH Keywords

consensuspolynomial model\(H_\infty\) consensusfuzzy polynomial modelleader-follower nonlinear multi-agent systems (MAS)polynomial Lyapunov functionsum-of-squares (SOS) terms

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Nonlinear systems in control theory (93C10) Decentralized systems (93A14) Agent technology and artificial intelligence (68T42)

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Cites Work

• Adaptive fuzzy iterative learning control with initial-state learning for coordination control of leader-following multi-agent systems
• Closed-form solution for optimal convergence speed of multi-agent systems with discrete-time double-integrator dynamics for fixed weight ratios
• Tracking control for multi-agent consensus with an active leader and variable topology
• Stability analysis and controller design of discrete-time polynomial fuzzy time-varying delay systems
• Observer design for a class of nonlinear fractional-order systems with unknown input
• Consensus of multi-agent systems with Luenberger observers
• Multi-vehicle consensus with a time-varying reference state
• Containment of Higher-Order Multi-Leader Multi-Agent Systems: A Dynamic Output Approach
• Coordination and Geometric Optimization via Distributed Dynamical Systems
• Linear Matrix Inequalities in System and Control Theory
• Consensus and Cooperation in Networked Multi-Agent Systems
• Control Applications of Sum of Squares Programming
• Guaranteed-Cost Consensus for Singular Multi-Agent Systems With Switching Topologies
• Consensus Tracking of Multi-Agent Systems With Lipschitz-Type Node Dynamics and Switching Topologies
• Information Flow and Cooperative Control of Vehicle Formations
• Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory
• Lyapunov-Based Approach to Multiagent Systems With Switching Jointly Connected Interconnection
• Leaderless and leader‐following consensus for heterogeneous multi‐agent systems with random link failures

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