Laguerre-Volterra Observer-based Adaptive Control
Zhang H.T., Chen M.Z.Q. and Chen Z.Y.
Proceedings of the 17th IFAC World Congress, Pages 9356-9361, July 2008Abstract
By expanding each kernel using the orthonormal Laguerre series, a Volterra functional series is used to represent the input-output relation of a nonlinear dynamic system. When the Volterra series and Laguerre series truncations are allowed, an appropriate choice of the Laguerre filter pole permits a description of the process dynamics using a small number of parameters. With the feedback of the
modeling error, we design a novel nonlinear state observer, based on which a stable output feedback control law is derived for both the regulator and tracking problems. To support this algorithm, we present the theoretical analysis of its nominal stability, which allows for obtaining the state feedback gain and the observer gain by solely solving two LMIs (linear matrix inequalities). Finally, control experiments on a chemical reactor temperature control system are performed. This Laguerre-Volterra Observer-based control method, especially its main idea of a Volterra
nonlinear observer, has shown great potential for the control of a large class of nonlinear dynamic systems often encountered in industrial applications.
BibTex Entry
- @InProceedings{,
- author = {Zhang H.T., Chen M.Z.Q. and Chen Z.Y.},
- title = {Laguerre-Volterra Observer-based Adaptive Control },
- booktitle = {Proceedings of the 17th IFAC World Congress},
- month = {July},
- pages = {9356-9361},
- year = {2008}
- }
|
![[Dept of Engineering]](http://www.eng.cam.ac.uk/images/house_style/engban-s.gif)
