liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
On the Gain Margin of Nonlinear and Optimal Regulators
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1982 (English)Report (Other academic)
Abstract [en]

The robustness of non-linear regulators for nonlinear systems with respect to variations in gain is investigated. It is shown that there exist regulators that produce asymptotically stable closed loop systems but do not tolerate any variation in gain without instability. However, if the linearized closed loop system is also asymptotically stable, then there is always some gain margin. For a wide class of optimal regulators it is shown that the gain margin is infinite with respect to increases in gain and that decreases down to 0.5 can be tolerated. The robustness properties of linear quadratic control laws are thus generalized.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1982. , 19 p.
LiTH-ISY-I, ISSN 8765-4321 ; 543
Keyword [en]
Robustness, Non-linear regulator, Asymptotic, Linear quadratic control
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-104382OAI: diva2:696875
Available from: 2014-02-16 Created: 2014-02-16 Last updated: 2014-02-16

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Glad, Torkel
By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 17 hits
ReferencesLink to record
Permanent link

Direct link