An algorithm for computationally efficient digital implementation of LTI controllers
Conference Paper
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
abstract
In this paper we present an algorithm for computationally efficient digital implementation of linear time invariant controllers. The algorithm transforms a linear time invariant controller into a periodically time varying system, which can be digitally implemented in a computationally efficient manner. This is achieved by first decomposing the controller into a dual rate system. A scheduling policy is adopted that spreads the computation, required to update the states of the slower system, over a time horizon. This reduces the total number of states updated at a given time step and hence the computational overhead. A theoretical framework is also developed to analyse the effect of this transformation on the closed-loop stability performance. The theoretical analysis framework relies on multi-rate filter bank theory and lifting techinique used in the analysis of multi-rate control systems.
name of conference
Proceedings of the 2003 American Control Conference, 2003.