Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems
This paper investigates the problem of designing a nonlinear H1 output feedback controller for a class of polynomial discrete-time systems. In general, this problem is hard to be formulated in a convex form because the relation between the control input and the Lyapunov function is always not join...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013
|
| Subjects: | |
| Online Access: | http://eprints.utem.edu.my/id/eprint/10468/2/abstract%3FdeniedAccessCustomisedMessage%3D%26userIsAuthenticated%3Dfalse http://eprints.utem.edu.my/id/eprint/10468/ http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1239 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper investigates the problem of designing a nonlinear H1 output feedback controller for a class of
polynomial discrete-time systems. In general, this problem is hard to be formulated in a convex form because
the relation between the control input and the Lyapunov function is always not jointly convex. Therefore, the
problem cannot be solved via semidefinite programming (SDP). On the basis of the sum of squares (SOS)
approach and incorporation of an integrator into the controller, sufficient conditions for the existence of a
nonlinear H infinity output feedback controller are given in terms of SOS conditions, which can be solved by
an SDP solver. In contrast to the existing methods, a less conservative result is obtained. Finally, numerical
examples are used to demonstrate the validity of this integrator approach. |
|---|