Control of multiple networked passive plants with delays and data dropouts

This paper provides a framework to synthesize l2 m-stable and L2 m-stable control networks in which m strictly-output passive controllers can control n - m strictly-output passive plants. The communication between the plants and controllers can tolerate time varying delay and data dropouts. In particular, we introduce a power junction which allows even a single controller (typically designed to control a single plant) to accurately control the position of multiple plants even if the dynamics of the plants are different. An illustrative simulated example shows the position tracking performance of the system. We conclude the discussion with two questions for future research.

[1]  Günter Niemeyer,et al.  Practical limitations of wave variable controllers in teleoperation , 2004, IEEE Conference on Robotics, Automation and Mechatronics, 2004..

[2]  Panos J. Antsaklis,et al.  Digital Control Networks for Continuous Passive Plants Which Maintain Stability Using Cooperative Schedulers , 2007 .

[3]  Jean-Jacques E. Slotine,et al.  Telemanipulation with Time Delays , 2004, Int. J. Robotics Res..

[4]  Panos J. Antsaklis,et al.  Guest Editorial Special Issue on Networked Control Systems , 2004, IEEE Trans. Autom. Control..

[5]  Panos J. Antsaklis,et al.  neclab: The network embedded control lab , 2006 .

[6]  Arjan van der Schaft,et al.  Hamiltonian formulation of bond graphs , 2003 .

[7]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[8]  A. Fettweis.  Wave digital filters: Theory and practice , 1986, Proceedings of the IEEE.

[9]  Nicholas Kottenstette,et al.  Control of passive plants with memoryless nonlinearities over wireless networks , 2008 .

[10]  P. Breedveld.  Port-Based Modeling of Dynamic Systems in Terms of Bond Graphs , 2006 .

[11]  W. Haddad,et al.  Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach , 2008 .

[12]  Panos J. Antsaklis,et al.  Stable digital control networks for continuous passive plants subject to delays and data dropouts , 2007, 2007 46th IEEE Conference on Decision and Control.

[13]  A. Schaft,et al.  L2-Gain and Passivity in Nonlinear Control , 1999 .

[14]  Johann Reger,et al.  A TIME-VARYING LINEAR STATE FEEDBACK TRACKING CONTROLLER FOR A BOOST-CONVERTER DRIVEN DC MOTOR , 2006 .

[15]  H. Sira-Ramirez,et al.  DC motor velocity control through a DC-to-DC power converter , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).