Abstract
We study the recently introduced notion of output-input stability, which is a robust variant of the minimum-phase property for general smooth nonlinear control systems. This paper develops the theory of output-input stability in the multi-input, multi-output setting. We show that output-input stability is a combination of two system properties, one related to detectability and the other to left-invertibility. For systems affine in controls, we derive a necessary and sufficient condition for output-input stability, which relies on a global version of the nonlinear structure algorithm. This condition leads naturally to a globally asymptotically stabilizing state feedback strategy for affine output-input stable systems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 237-248 |
| Number of pages | 12 |
| Journal | Systems and Control Letters |
| Volume | 53 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Nov 2004 |
Keywords
- Feedback stabilization
- Minimum phase
- Nonlinear contorl system
- Output-input stability
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science(all)
- Mechanical Engineering
- Electrical and Electronic Engineering