Maximum Hands-Off Distributed Bearing-Based Formation Control

This paper investigates a distributed bearing-constrained formation control of continuous-time multi-agent systems based on sampled bearing information. The problem is considered in arbitrary dimensional spaces. Our proposed method penalizes the control effort by L0 control cost, and hence the obtained distributed control is enhanced to take exactly zero value. Such a control is called maximum hands-off control. The proposed method tracks a distributed control for an associated discrete-time multi-agent system. Hence, we also newly characterize a bearing-constrained formation for discrete-time one. The analysis relies on the recently developed bearing rigidity theory. With the results, we show the feasibility, closed form, and stability of the proposed control.

[1]  Hyo-Sung Ahn,et al.  Formation Control and Network Localization via Orientation Alignment , 2014, IEEE Transactions on Automatic Control.

[2]  Fu Lin,et al.  Design of Optimal Sparse Feedback Gains via the Alternating Direction Method of Multipliers , 2011, IEEE Transactions on Automatic Control.

[3]  Paulo Tabuada,et al.  Secure Estimation and Control for Cyber-Physical Systems Under Adversarial Attacks , 2012, IEEE Transactions on Automatic Control.

[4]  Shiyu Zhao,et al.  Translational and Scaling Formation Maneuver Control via a Bearing-Based Approach , 2015, IEEE Transactions on Control of Network Systems.

[5]  Shiyu Zhao,et al.  Bearing Rigidity and Almost Global Bearing-Only Formation Stabilization , 2014, IEEE Transactions on Automatic Control.

[6]  Vijay Kumar,et al.  Modeling and control of formations of nonholonomic mobile robots , 2001, IEEE Trans. Robotics Autom..

[7]  Amir G. Aghdam,et al.  Distributed control of a network of single integrators with limited angular fields of view , 2016, Autom..

[8]  Mireille E. Broucke,et al.  Stabilization of infinitesimally rigid formations of multi-robot networks , 2008, 2008 47th IEEE Conference on Decision and Control.

[9]  Danny H. K. Tsang,et al.  Performance study and system optimization on sleep mode operation in IEEE 802.16e , 2009, IEEE Transactions on Wireless Communications.

[10]  Marcio de Queiroz,et al.  Multi-agent formation maneuvering and target interception with double-integrator model , 2014, 2014 American Control Conference.

[11]  C. C. Chan,et al.  The State of the Art of Electric, Hybrid, and Fuel Cell Vehicles , 2007, Proceedings of the IEEE.

[12]  Hyo-Sung Ahn,et al.  A survey of multi-agent formation control , 2015, Autom..

[13]  Kenji Kashima,et al.  Consensus by maximum hands-off distributed control with sampled-data state observation , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[14]  Shiyu Zhao,et al.  Bearing-Only Network Localization: Localizability, Sensitivity, and Distributed Protocols , 2015, ArXiv.

[15]  H. Maurer,et al.  On L1‐minimization in optimal control and applications to robotics , 2006 .

[16]  Lennart Ljung,et al.  System Identification Via Sparse Multiple Kernel-Based Regularization Using Sequential Convex Optimization Techniques , 2014, IEEE Transactions on Automatic Control.

[17]  C. Tretter.  Spectral Theory Of Block Operator Matrices And Applications , 2008 .

[18]  Kenji Kashima,et al.  Maximum Hands-Off Distributed Control for Consensus of Multiagent Systems with Sampled-Data State Observation , 2019, IEEE Transactions on Control of Network Systems.

[19]  Victor M. Becerra,et al.  Optimal control , 2008, Scholarpedia.

[20]  Masaaki Nagahara,et al.  Value function in maximum hands-off control for linear systems , 2016, Autom..

[21]  Shiyu Zhao,et al.  Bearing-based distributed control and estimation of multi-agent systems , 2015, 2015 European Control Conference (ECC).

[22]  Daniel E. Quevedo,et al.  Maximum Hands-Off Control: A Paradigm of Control Effort Minimization , 2014, IEEE Transactions on Automatic Control.

[23]  Alcherio Martinoli,et al.  Distributed Formation Control of Quadrotors under Limited Sensor Field of View , 2016, AAMAS.

[24]  Karl Henrik Johansson,et al.  Distributed Event-Triggered Control for Multi-Agent Systems , 2012, IEEE Transactions on Automatic Control.

[25]  Eugene Khmelnitsky,et al.  On an optimal control problem of train operation , 2000, IEEE Trans. Autom. Control..

[26]  Zhiyong Sun,et al.  Circular Formation Control of Multiple Unicycle-Type Agents With Nonidentical Constant Speeds , 2019, IEEE Transactions on Control Systems Technology.

[27]  Kenji Kashima,et al.  On Sparse Optimal Control for General Linear Systems , 2019, IEEE Transactions on Automatic Control.