Observer-Based Robust Coordinated Control of Multiagent Systems With Input Saturation

This paper addresses the robust semiglobal coordinated control of multiple-input multiple-output multiagent systems with input saturation together with dead zone and input additive disturbance. Observer-based coordinated control protocol is constructed, by combining the parameterized low-and-high-gain feedback technique and the high-gain observer design approach. It is shown that, under some mild assumptions on agents’ intrinsic dynamics, the robust semiglobal consensus or robust semiglobal swarm can be approached for undirected connected multiagent systems. Then, specific guidelines on the selection of the low-gain parameter, the high-gain parameter, and the high-gain observer gain have been provided. At last, numerical simulations are presented to illustrate the theoretical results.

[1]  Guanrong Chen,et al.  Fully Distributed Event-Triggered Semiglobal Consensus of Multi-agent Systems With Input Saturation , 2017, IEEE Transactions on Industrial Electronics.

[2]  Ben M. Chen,et al.  Linear Systems Theory: A Structural Decomposition Approach , 2004 .

[3]  Ali Saberi,et al.  Semi-global regulation of output synchronization for heterogeneous networks of non-introspective, invertible agents subject to actuator saturation , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[4]  Zongli Lin,et al.  Semi‐global leader‐following consensus of multiple linear systems with position and rate limited actuators , 2015 .

[5]  Andrew R. Teel,et al.  Control of linear systems with saturating actuators , 1996 .

[6]  Xiaofan Wang,et al.  Semi-global consensus of multi-agent systems with intermittent communications and low-gain feedback , 2015 .

[7]  Guanrong Chen,et al.  Adaptive second-order consensus of networked mobile agents with nonlinear dynamics , 2011, Autom..

[8]  C.N. Hadjicostis,et al.  Finite-Time Distributed Consensus in Graphs with Time-Invariant Topologies , 2007, 2007 American Control Conference.

[9]  Guanrong Chen,et al.  Robust semi‐global coordinated tracking of linear multi‐agent systems with input saturation , 2015 .

[10]  Zhiyong Yu,et al.  Fully Distributed Event-triggered Semi-global Consensus of Multi-agent Systems with Input Saturation and Directed Topology , 2019 .

[11]  Wei Ren,et al.  Constrained Consensus in Unbalanced Networks With Communication Delays , 2014, IEEE Transactions on Automatic Control.

[12]  Lei Wang,et al.  Distributed estimation and control for mobile sensor networks with coupling delays. , 2016, ISA transactions.

[13]  A. Teel,et al.  Tools for Semiglobal Stabilization by Partial State and Output Feedback , 1995 .

[14]  Lei Wang,et al.  Semi-global output consensus of discrete-time multi-agent systems with input saturation and external disturbances. , 2017, ISA transactions.

[15]  Xiaoyang Liu,et al.  A Switching Approach to Designing Finite-Time Synchronization Controllers of Coupled Neural Networks , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[16]  James Lam,et al.  Semi-Global Leader-Following Consensus of Linear Multi-Agent Systems With Input Saturation via Low Gain Feedback , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  James Lam,et al.  Semiglobal Observer-Based Leader-Following Consensus With Input Saturation , 2014, IEEE Transactions on Industrial Electronics.

[18]  Zhiyong Chen,et al.  Analysis of Joint Connectivity Condition for Multiagents With Boundary Constraints , 2013, IEEE Transactions on Cybernetics.

[19]  Mengyin Fu,et al.  Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols , 2011, IEEE Transactions on Automatic Control.

[20]  Asuman E. Ozdaglar,et al.  Constrained Consensus and Optimization in Multi-Agent Networks , 2008, IEEE Transactions on Automatic Control.

[21]  L. Chua,et al.  Application of graph theory to the synchronization in an array of coupled nonlinear oscillators , 1995 .

[22]  Xiao Fan Wang,et al.  Second-Order Consensus of Multi-agent Systems via Periodically Intermittent Pinning Control , 2016, Circuits Syst. Signal Process..

[23]  Chao Yang,et al.  Nodes selection strategy in cooperative tracking problem , 2016, Autom..

[24]  Zongli Lin Global Control of Linear Systems with Saturating Actuators , 1998, Autom..

[25]  Ziyang Meng,et al.  Global consensus for discrete-time multi-agent systems with input saturation constraints , 2014, Autom..

[26]  Jinde Cao,et al.  Synchronization of Markovian Coupled Neural Networks With Nonidentical Node-Delays and Random Coupling Strengths , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[27]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[28]  Z. Duan,et al.  Network synchronizability analysis: a graph-theoretic approach. , 2008, Chaos.