Prescribed Performance for Bipartite Tracking Control of Nonlinear Multiagent Systems With Hysteresis Input Uncertainties

This paper studies bipartite tracking problem of nonlinear multiagent systems over signed directed graphs. Each following agent is modeled by a higher-order nonlinear system in strict-feedback form with unknown dynamics and hysteresis input uncertainty. Both distributed state feedback and output feedback control laws are proposed to achieve bipartite tracking confined by the prescribed performance bounds. The proposed approximation-free distributed controllers only utilize error variables incorporating with performance bound functions, which lead to a low-complexity control algorithm. Moreover, the proposed control laws guarantee that all signals of the closed-loop system are uniformly ultimately bounded.

[1]  C. L. Philip Chen,et al.  Adaptive Neural Control for Dual-Arm Coordination of Humanoid Robot With Unknown Nonlinearities in Output Mechanism , 2015, IEEE Transactions on Cybernetics.

[2]  Claudio Altafini,et al.  Predictable Dynamics of Opinion Forming for Networks With Antagonistic Interactions , 2015, IEEE Transactions on Automatic Control.

[3]  Shuzhi Sam Ge,et al.  Adaptive Neural Control for a Class of Uncertain Nonlinear Systems in Pure-Feedback Form With Hysteresis Input , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[4]  Frank L. Lewis,et al.  Bipartite and cooperative output synchronizations of linear heterogeneous agents: A unified framework , 2017, Autom..

[5]  Charalampos P. Bechlioulis,et al.  Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance , 2008, IEEE Transactions on Automatic Control.

[6]  Jie Chen,et al.  Sign-Consensus of Linear Multi-Agent Systems Over Signed Directed Graphs , 2017, IEEE Transactions on Industrial Electronics.

[7]  Shaocheng Tong,et al.  Neural Controller Design-Based Adaptive Control for Nonlinear MIMO Systems With Unknown Hysteresis Inputs , 2016, IEEE Transactions on Cybernetics.

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

[9]  Tieshan Li,et al.  Adaptive Output Feedback Control of Uncertain Nonlinear Systems With Hysteresis Nonlinearity , 2012, IEEE Transactions on Automatic Control.

[10]  Zhiyong Chen,et al.  Overview: Collective Control of Multiagent Systems , 2016, IEEE Transactions on Control of Network Systems.

[11]  Tianyou Chai,et al.  Nonlinear Control of Systems Preceded by Preisach Hysteresis Description: A Prescribed Adaptive Control Approach , 2016, IEEE Transactions on Control Systems Technology.

[12]  Frank L. Lewis,et al.  Neuro-Adaptive Distributed Control With Prescribed Performance for the Synchronization of Unknown Nonlinear Networked Systems , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[13]  Hongwei Zhang,et al.  Bipartite consensus of general linear multi-agent systems , 2014, 2014 American Control Conference.

[14]  Camille Roth,et al.  Connections: An Introduction to the Economics of Networks by Sanjeev Goyal , 2010, J. Artif. Soc. Soc. Simul..

[15]  Minoru Asada,et al.  Incremental Coevolution With Competitive and Cooperative Tasks in a Multirobot Environment , 2006, Proceedings of the IEEE.

[16]  Charalampos P. Bechlioulis,et al.  Decentralized Robust Synchronization of Unknown High Order Nonlinear Multi-Agent Systems With Prescribed Transient and Steady State Performance , 2017, IEEE Transactions on Automatic Control.

[17]  Frank L. Lewis,et al.  On constructing Lyapunov functions for multi-agent systems , 2015, Autom..

[18]  Charalampos P. Bechlioulis,et al.  A low-complexity global approximation-free control scheme with prescribed performance for unknown pure feedback systems , 2014, Autom..

[19]  M. Grinfeld,et al.  Hysteresis and economics , 2009, IEEE Control Systems.

[20]  C. L. Philip Chen,et al.  Adaptive Consensus of Nonlinear Multi-Agent Systems With Non-Identical Partially Unknown Control Directions and Bounded Modelling Errors , 2017, IEEE Transactions on Automatic Control.

[21]  Zhi Liu,et al.  Adaptive consensus of nonlinear multi-agent systems with unknown backlash-like hysteresis , 2016, Neurocomputing.

[22]  Jiangping Hu,et al.  Interventional bipartite consensus on coopetition networks with unknown dynamics , 2017, J. Frankl. Inst..

[23]  Xinkai Chen,et al.  Adaptive control for continuous-time systems with actuator and sensor hysteresis , 2016, Autom..

[24]  Deyuan Meng,et al.  Convergence analysis of directed signed networks via an M-matrix approach , 2018, Int. J. Control.

[25]  Juan Neirotti Anisotropic opinion dynamics. , 2016, Physical review. E.

[26]  Hongwei Zhang,et al.  Bipartite consensus of multi‐agent systems over signed graphs: State feedback and output feedback control approaches , 2017 .

[27]  Choy Heng Lai,et al.  Socioecological regime shifts in the setting of complex social interactions. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Long Wang,et al.  Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey , 2017, IEEE Transactions on Industrial Electronics.

[29]  Shuzhi Sam Ge,et al.  Adaptive Neural Output Feedback Control of Uncertain Nonlinear Systems With Unknown Hysteresis Using Disturbance Observer , 2015, IEEE Transactions on Industrial Electronics.

[30]  Claudio Altafini,et al.  Consensus Problems on Networks With Antagonistic Interactions , 2013, IEEE Transactions on Automatic Control.

[31]  R. Iyer,et al.  Control of hysteretic systems through inverse compensation , 2009, IEEE Control Systems.

[32]  Wenwu Yu,et al.  An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination , 2012, IEEE Transactions on Industrial Informatics.

[33]  Tieshan Li,et al.  Prescribed Performance Consensus of Uncertain Nonlinear Strict-Feedback Systems With Unknown Control Directions , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[34]  Eduardo D. Sontag,et al.  Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

[35]  Xin Chen,et al.  Adaptive Neural Control for a Class of Nonlinear Time-Varying Delay Systems With Unknown Hysteresis , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Mingjun Du,et al.  Interval Bipartite Consensus of Networked Agents Associated With Signed Digraphs , 2016, IEEE Transactions on Automatic Control.

[37]  Zhiyong Chen,et al.  Tracking of piezoelectric actuators with hysteresis: A nonlinear robust output regulation approach , 2017 .

[38]  Yan Lin,et al.  Fuzzy Approximator Based Adaptive Dynamic Surface Control for Unknown Time Delay Nonlinear Systems With Input Asymmetric Hysteresis Nonlinearities , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.