Decentralized Cooperative-Control Design for Multivehicle Formations

DOI: 10.2514/1.33009 In a decentralized cooperative-control regime, individual vehicles autonomously compute their required control inputs to achieve a group objective. Controlling formations of individual vehicles is one application of decentralized cooperative control. In this paper, cooperative-control schemes are developed for a multivehicle formation problem with information flow modeled by leader–follower subsystems. Control laws are developed to drive position and velocity errors between vehicle pairs to zero. The general control law for the ith vehicle tracks its lead vehicle’s position and velocity, as well as a reference position and velocity that the whole formation follows. Rate-estimation schemes are developed for the general control law using both Luenberger-observer and passive-filtering estimation methods. It is shown that these estimation methods are complicated by the effects that the estimated rates have on formation stability. Finally, the development of a rate-free controller is presented, which does not require state informationfromothervehiclesintheformation.Thecontrolschemesaresimulatedfora five-vehicleformationand are compared for stability and formation convergence.

[1]  Henk Nijmeijer,et al.  Global regulation of robots using only position measurements , 1993 .

[2]  M. Akella,et al.  Differentiator-Free Nonlinear Proportional-Integral Controllers for Rigid-Body Attitude Stabilization , 2004 .

[3]  Altug Iftar,et al.  Contractible controller design and optimal control with state and input inclusion , 1990, Autom..

[4]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[5]  R. Murray,et al.  Differential flatness and absolute equivalence , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[6]  Sunil Kumar Agrawal,et al.  Groups of unmanned vehicles: differential flatness, trajectory planning, and control , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[7]  M. Akella Rigid body attitude tracking without angular velocity feedback , 2000 .

[8]  Mark J. Monda,et al.  Boom and Receptacle Autonomous Air Refueling Using Visual Snake Optical Sensor , 2007 .

[9]  C. A. Rabbath,et al.  Sampled-data Control of a Class of Nonlinear Flat Systems With Application to Unicycle Trajectory Tracking , 2006 .

[10]  John Valasek,et al.  PRELIMINARY RESULTS OF VEHICLE FORMATION CONTROL USING DYNAMIC INVERSION , 2004 .

[11]  D. Siljak,et al.  Decentralized control with overlapping information sets , 1981 .

[12]  Claudio Altafini General n-trailer, differential flatness and equivalence , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[13]  I. Bar-Itzhack,et al.  Satellite Angular Rate Estimation from Vector Measurements , 1996 .

[14]  Richard M. Murray,et al.  DISTRIBUTED COOPERATIVE CONTROL OF MULTIPLE VEHICLE FORMATIONS USING STRUCTURAL POTENTIAL FUNCTIONS , 2002 .

[15]  Dragoslav D. Šiljak,et al.  Large-Scale Dynamic Systems: Stability and Structure , 1978 .

[16]  Youdan Kim,et al.  Introduction to Dynamics and Control of Flexible Structures , 1993 .

[17]  Degang Chen,et al.  Asymptotic stability theorem for autonomous systems , 1993 .

[18]  David A. Schoenwald,et al.  Decentralized control of cooperative robotic vehicles: theory and application , 2002, IEEE Trans. Robotics Autom..

[19]  Rodney Teo,et al.  Decentralized overlapping control of a formation of unmanned aerial vehicles , 2004, Autom..

[20]  Monish D. Tandale,et al.  Trajectory Tracking Controller for Vision-Based Probe and Drogue Autonomous Aerial Refueling , 2005 .