Abstract
This paper presents a new approach for model reduction of distributed state space systems. It is applicable to spatio-temporal systems that evolve in discrete time over a finite interval; the spatial structure of these systems is also inherently discrete. The main contribution of this paper is that it allows the underlying system dynamics to be shift variant with respect to spatial or temporal variables. The simplification technique presented in this paper relies on control synthesis results developed for heterogeneous systems. It is stated in terms of inequalities on finite dimensional space which can be immediately converted to linear matrix inequalities (LMIs), making the reduction problem readily amenable to computation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 5271-5276 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 5 |
| State | Published - 2003 |
| Event | 42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: Dec 9 2003 → Dec 12 2003 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization