Title :
Limitations of robust adaptive pole placement control
Author :
Weyer, Erik ; Mareels, Iven M Y ; Polderman, Jan Willem
Author_Institution :
SINTEF SI, Oslo, Norway
fDate :
8/1/1994 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on