Abstract
Numerical algorithms are developed for model order reduction of discrete-time systems using both optimal projection and H2-norm minimization. The state-space matrices of the reduced-order system are obtained via the solution of a convex optimization problem. Subsequently, the results are exploited for the design of non-linear reduced-order systems verifying the input-to-state stability property. Proofs of stability and error approximation bounds are provided along with numerical simulations to highlight the strengths and the validity of the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 1105-1131 |
| Number of pages | 27 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 36 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Dec 2019 |
Bibliographical note
Publisher Copyright:© The Author(s) 2018.
Keywords
- convex optimization
- discrete nonlinear systems
- input-to-state stability
- model order reduction
- system theory
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization
- Applied Mathematics