Introduction
Problem:
- Given a system find new bases for the input and output vectors so that, when represented in these new bases the system becomes , where is a diagonal matrix.
- Find an implementation of these basis transformations which is
- computationally efficient
- can be performed in a distributed fashion
Application:
- Diagonalizion of effectively transforms the plant into a decoupled system of 1D subplants.
- This facilitates controller synthesis and implementation for systems with large number of inputs and outputs.
- Distributed implementation suitable for use on control networks.
- locality of information
- parallel processing capability of the network