We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Conservatism reduction in simultaneous output feedback stabilisation of linear systems.
- Authors
Kohan‐Sedgh, Peyman; Khayatian, Alireza; Asemani, Mohammad H.
- Abstract
This study concerns with simultaneous output feedback stabiliser for continuous‐time linear systems. Two convex methods based on structured slack variable and dilated matrix inequalities are proposed. Both methods are based on non‐common Lyapunov approach and designs are independent of controller order. Sufficiency of the first method decreases with increasing the number of system inputs. The second method, namely the dilated method, contains free scalar parameters. These parameters can be used to shape the controller for some performance objectives. In particular, it is proved that the dilated method can give less or at least the same conservative results than existing methods with equality constraints. It is also shown that the feasibility region of these two methods does not coincide and thus combining them can increase the chance of finding simultaneous stabiliser. Extensive numerical studies and benchmark examples are used to reveal the conservatism reduction merit.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2016, Vol 10, Issue 17, p2243
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2016.0618