An application of Lie groups in distributed control networks

Here we introduce a class of linear operators called recursive orthogonal t ransforms (ROTs) that allow a natural implementation on a distributed contr ol network. We derive conditions under which ROTs can be used to represent SO(n) for n greater than or equal to4. We propose a paradigm for distribute d feedback control based on plant matrix diagonalization. To find an ROT su itable for this task, we derive a gradient flow on the appropriate underlyi ng Lie group. A numerical example is presented. (C) 2001 Elsevier Science B .V. All rights reserved.