Limitations of robust adaptive pole placement control

Author

Weyer, Erik ; Mareels, Iven M Y ; Polderman, Jan Willem

Author_Institution

SINTEF SI, Oslo, Norway

Volume

39

Issue

8

fYear

1994

fDate

8/1/1994 12:00:00 AM

Firstpage

1665

Lastpage

1671

Abstract

In this paper we investigate the limitations of adaptive pole placement control of AR systems when an additive disturbance is present. The magnitude of the disturbance is dependent on past input and output values. It is shown that the control objective of robust stabilization restricts the set of systems one can deal with. We subsequently propose and analyze an adaptive algorithm which can be applied to convex, not necessarily bounded, subsets of the aforesaid set. In particular, it is shown that all signals in the control loop remain bounded

Keywords

adaptive control; closed loop systems; discrete time systems; identification; multidimensional systems; polynomials; stability; AR systems; SISO systems; adaptive pole placement control; additive disturbance; closed loop systems; control loop; discrete time systems; finite dimensional systems; identification; polynomials; robust stabilization; Adaptive control; Algorithm design and analysis; Control systems; Noise robustness; Poles and zeros; Polynomials; Programmable control; Robust control; Robust stability; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.310046

Filename

310046