Semiglobal Observer-Based Non-Negative Edge Consensus of Networked Systems With Actuator Saturation

The observer-based edge-consensus problem of networked continuous-time dynamical systems with edge state non-negative constraint and actuator saturation is considered in this paper. Based on line graph theory, low-gain output-feedback technique and algebraic Riccati equation (ARE)-based method, two edge-consensus algorithms are designed to achieve the observer-based edge consensus, in which the specific mathematical expressions of the two algorithms are obtained. Meanwhile, sufficient conditions are obtained to meet the bounded inputs and the non-negative edge states by combining with the ARE-based low-gain output-feedback technique and the positive system theory. Moreover, the feedback-gain and observer-gain matrices which must meet the sufficient conditions at the same time are existed and easy to obtain. Finally, two simulation cases are introduced to show the effectiveness of the theoretical results.

[1]  Rathinasamy Sakthivel,et al.  Leader-following exponential consensus of input saturated stochastic multi-agent systems with Markov jump parameters , 2018, Neurocomputing.

[2]  R. Z. Norman,et al.  Some properties of line digraphs , 1960 .

[3]  X. Guan,et al.  Leader–following consensus for multi-agent systems subject to actuator saturation with switching topologies and time-varying delays , 2016 .

[4]  Housheng Su,et al.  Semi-Global Output Consensus for Discrete-Time Switching Networked Systems Subject to Input Saturation and External Disturbances , 2019, IEEE Transactions on Cybernetics.

[5]  Xin Wang,et al.  Self-triggered leader-following consensus of multi-agent systems with input time delay , 2019, Neurocomputing.

[6]  Xin Wang,et al.  Consensus of hybrid multi-agent systems by event-triggered/self-triggered strategy , 2019, Appl. Math. Comput..

[7]  Bo Liu,et al.  Second-order controllability of two-time-scale multi-agent systems , 2019, Appl. Math. Comput..

[8]  Housheng Su,et al.  Time-varying formation for linear multi-agent systems based on sampled data with multiple leaders , 2019, Neurocomputing.

[9]  Zhigang Zeng,et al.  Controllability of Two-Time-Scale Discrete-Time Multiagent Systems , 2020, IEEE Transactions on Cybernetics.

[10]  Bin Zhou,et al.  Consensus of Discrete-Time Multiagent Systems With Input Delays by Truncated Pseudo-Predictor Feedback , 2019, IEEE Transactions on Cybernetics.

[11]  James Lam,et al.  Positive Edge-Consensus for Nodal Networks via Output Feedback , 2019, IEEE Transactions on Automatic Control.

[12]  Xia Chen,et al.  Observer-Based Discrete-Time Nonnegative Edge Synchronization of Networked Systems , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[13]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[14]  A. Pentland The new science of building great teams , 2012 .

[15]  Bo Liu,et al.  Group controllability of two-time-scale multi-agent networks , 2018, J. Frankl. Inst..

[16]  Xia Chen,et al.  A Stochastic Sampling Mechanism for Time-Varying Formation of Multiagent Systems With Multiple Leaders and Communication Delays , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[17]  Jun Huang,et al.  On pinning group consensus for heterogeneous multi-agent system with input saturation , 2016, Neurocomputing.

[18]  Qing Zhang,et al.  Consensus of a heterogeneous multi-agent system with input saturation , 2015, Neurocomputing.

[19]  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.

[20]  Wen-Xu Wang,et al.  Robustness of controlling edge dynamics in complex networks against node failure. , 2016, Physical review. E.

[21]  Wei Xing Zheng,et al.  On the Bipartite Consensus for Generic Linear Multiagent Systems With Input Saturation , 2017, IEEE Transactions on Cybernetics.

[22]  Yang-Yu Liu Theoretical progress and practical challenges in controlling complex networks , 2014 .

[23]  Tamás Vicsek,et al.  Controlling edge dynamics in complex networks , 2011, Nature Physics.

[24]  Xia Chen,et al.  Positive Edge Consensus of Complex Networks , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[25]  Dan Ye,et al.  Distributed Adaptive Event-Triggered Fault-Tolerant Consensus of Multiagent Systems With General Linear Dynamics , 2019, IEEE Transactions on Cybernetics.

[26]  Guanrong Chen,et al.  Reaching Non-Negative Edge Consensus of Networked Dynamical Systems , 2018, IEEE Transactions on Cybernetics.

[27]  Haibo He,et al.  Necessary and Sufficient Conditions for Consensus in Fractional-Order Multiagent Systems via Sampled Data Over Directed Graph , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[28]  Bahram Shafai,et al.  A two-step procedure for optimal constrained stabilization of linear continuous-time systems , 2013, 21st Mediterranean Conference on Control and Automation.

[29]  Zongli Lin,et al.  Distributed Semiglobal Consensus With Relative Output Feedback and Input Saturation Under Directed Switching Networks , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[30]  Housheng Su,et al.  Discrete-Time Positive Edge-Consensus for Undirected and Directed Nodal Networks , 2018, IEEE Transactions on Circuits and Systems II: Express Briefs.

[31]  Xiao Fan Wang,et al.  Nonnegative Edge Quasi-Consensus of Networked Dynamical Systems , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[32]  Qinglai Wei,et al.  Gain scheduling consensus of multi-agent systems subject to actuator saturation , 2020, Int. J. Control.

[33]  Yaping Sun,et al.  Robust Semiglobal Coordination of Coupled Harmonic Oscillator Systems Subject to Input Saturation , 2019, Circuits Syst. Signal Process..

[34]  Housheng Su,et al.  Observer-Based Consensus for Positive Multiagent Systems With Directed Topology and Nonlinear Control Input , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[35]  Zhigang Zeng,et al.  Second-Order Consensus for Multiagent Systems via Intermittent Sampled Position Data Control , 2018, IEEE Transactions on Cybernetics.