Title: Digital control of multiple discrete passive plants over networks

Authors: N. Kottenstette, Joseph F. Hall III, X. Koutsoukos, Panos Antsaklis, J. Sztipanovits

Addresses: Institute for Software Integrated Systems, Vanderbilt University, P.O. Box 1829, Station B, Nashville, TN 37203, USA. ' Department of Electrical Engineering and Computer Science, Vanderbilt University, P.O. Box 1829, Station B, Nashville, TN 37203, USA. ' Department of Electrical Engineering and Computer Science, Vanderbilt University, P.O. Box 1829, Station B, Nashville, TN 37203, USA. ' Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556. ' Department of Electrical Engineering and Computer Science, Vanderbilt University, P.O. Box 1829, Station B, Nashville, TN 37203, USA

Abstract: This paper provides a passivity based framework to synthesise lm2-stable digital 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-network, a general class of input-output-wave-variable-network which allows even a single controller (typically designed to control a single plant) to accurately control the output of multiple plants even if the corresponding dynamics of each plant is different. In addition to the power-junction-network we also introduce a Passive Downsampler (PDS) and Passive Upsampler (PUS) in order to further reduce networking traffic while maintaining stability and tracking properties. A detailed (soft real-time) set of examples shows the tracking performance of the networked control system.

Keywords: power junction networks; passivity; dissipative systems; wave variables; scattering theory; networked control systems; PDS; passive downsampler; PUS; passive upsampler; digital control networks; passive controllers; passive plants; time varying delay; data dropouts.

DOI: 10.1504/IJSCC.2011.039868

International Journal of Systems, Control and Communications, 2011 Vol.3 No.2, pp.194 - 228

Published online: 22 Apr 2011 *

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