A linear matrix inequality approach to decentralized control of distributed parameter systems

In this paper preliminary results in the use of linear matrix inequalities for the decentralized control of distributed parameter systems is presented. The class of systems being considered are those that can be expressed as multidimensional systems. It is shown that linear matrix inequalities can be used to provide tractable solutions to this problem; the conditions are in general conservative, but are computationally attractive and lead to controllers which have a decentralized structure.

[1]  John Rutherford,et al.  American institute of aeronautics and astronautics graduate design competitions , 1996 .

[2]  J. Guiver,et al.  Multidimensional systems theory : progress, directions and open problems in multidimensional systems , 1985 .

[3]  R. D'Andrea,et al.  Control of spatially varying distributed systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[4]  Eric Rogers,et al.  Stability Analysis for Linear Repetitive Processes , 1992 .

[5]  R. Roesser.  A discrete state-space model for linear image processing , 1975 .

[6]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[7]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[8]  P. Gahinet,et al.  A linear matrix inequality approach to H∞ control , 1994 .

[9]  Jason L. Speyer,et al.  Decentralized controllers for unmanned aerial vehicle formation flight , 1996 .

[10]  N. Bose.  Multidimensional Systems Theory , 1985 .

[11]  E. Kamen,et al.  Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems , 1985 .

[12]  Petros A. Ioannou,et al.  Vehicle following control design for automated highway systems , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[13]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..