Sliding mode control for formation stabilization of thrust-propelled vehicles with switching topologies and unknown time-varying disturbances

This paper investigates formation problem of multiple thrust-propelled vehicles (TPVs) under switching interaction topologies and communication delays. In the presence of time-varying disturbances, we introduce a controller guaranteeing that all vehicles in a team construct a pre-specified formation from any initial states. To tackle the translational and rotational disturbances, we take advantage of, respectively, the variable structure control and the sliding mode technique. The proposed control scheme can also be used for control of a single TPV. The global stability of the overall system is assured through Lyapunov stability theory. Finally, a numerical simulation is given to show the effectiveness of the proposed control framework.

[1]  Wenchuan Cai,et al.  Quaternion Observer-Based Model-Independent Attitude Tracking Control of Spacecraft , 2009 .

[2]  Yuanqing Xia,et al.  Adaptive Sliding Mode Control for Attitude Stabilization With Actuator Saturation , 2011, IEEE Transactions on Industrial Electronics.

[3]  Andrew Roberts,et al.  Adaptive position tracking of VTOL UAVs , 2011, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[4]  Helene Piet-Lahanier,et al.  A hierarchical controller for miniature VTOL UAVs: Design and stability analysis using singular perturbation theory , 2011 .

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

[6]  Zhijun Cai,et al.  Robust adaptive asymptotic tracking of nonlinear systems with additive disturbance , 2006, IEEE Transactions on Automatic Control.

[7]  Mohammad Bagher Menhaj,et al.  Formation control of VTOL UAV vehicles under switching-directed interaction topologies with disturbance rejection , 2018, Int. J. Control.

[8]  Abdelkader Abdessameud,et al.  Formation control of VTOL Unmanned Aerial Vehicles with communication delays , 2011, Autom..

[9]  James Diebel,et al.  Representing Attitude : Euler Angles , Unit Quaternions , and Rotation Vectors , 2006 .

[10]  Rita Cunha,et al.  A nonlinear quadrotor trajectory tracking controller with disturbance rejection , 2014, 2014 American Control Conference.

[11]  Dongjun Lee,et al.  Distributed backstepping control of multiple thrust-propelled vehicles on a balanced graph , 2012, Autom..

[12]  Manfredi Maggiore,et al.  A Class of Position Controllers for Underactuated VTOL Vehicles , 2014, IEEE Transactions on Automatic Control.

[13]  Abdelkader Abdessameud,et al.  Motion Coordination for VTOL Unmanned Aerial Vehicles , 2013 .

[14]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[15]  Yongcan Cao,et al.  Distributed Coordination of Multi-agent Networks , 2011 .

[16]  An-Min Zou,et al.  Robust attitude tracking control of spacecraft under control input magnitude and rate saturations , 2016 .

[17]  Kristin Ytterstad Pettersen,et al.  Straight Line Path Following for Formations of Underactuated Marine Surface Vessels , 2011, IEEE Transactions on Control Systems Technology.

[18]  M. Shuster A survey of attitude representation , 1993 .

[19]  Ilia G. Polushin,et al.  Motion coordination of thrust-propelled underactuated vehicles with intermittent and delayed communications , 2015, Syst. Control. Lett..

[20]  Yingmin Jia,et al.  Consensus of a Class of Second-Order Multi-Agent Systems With Time-Delay and Jointly-Connected Topologies , 2010, IEEE Transactions on Automatic Control.

[21]  J. Erdong,et al.  Robust attitude synchronisation controllers design for spacecraft formation , 2009 .

[22]  Mohammad Haeri,et al.  Theoretical Analysis of Flocking Algorithms in Networks of Second Order Dynamic Agents With Switching Topologies , 2014 .

[23]  R. Mehra,et al.  Robust Tracking Control Design for Spacecraft Under Control Input Saturation , 2004 .