Exponential convergence of adaptive identification and control algorithms

Authors:
Brian D. O. Anderson;C.Richard Johnson, Jr
Affiliations:
Department of Electrical Engineering, University of Newcastle, New South Wales, 2308, Australia;Department of Electrical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, U.S.A.
Venue:
Automatica (Journal of IFAC)
Year:
1982

Citing 5
Cited 11

Analysis of a general recursive prediction error identification algorithm

Automatica (Journal of IFAC)
Brief paper: An approach to multivariable system identification

Automatica (Journal of IFAC)
Paper: Recursive output error identification algorithms theory and evaluation

Automatica (Journal of IFAC)
A convergence proof for a hyperstable adaptive recursive filter (Corresp.)

IEEE Transactions on Information Theory
Digital adaptive filters: Conditions for convergence, rates of convergence, effects of noise and errors arising from the implementation

IEEE Transactions on Information Theory

Recursive identification of switched ARX systems

Automatica (Journal of IFAC)
Paper: A perspective on convergence of adaptive control algorithms

Automatica (Journal of IFAC)
Paper: An input-output view of robustness in adaptive control

Automatica (Journal of IFAC)
Paper: Error propagation properties of recursive least-squares adaptation algorithms

Automatica (Journal of IFAC)
Brief Paper: Simultaneous Constrained Model Predictive Control and Identification of DARX Processes

Automatica (Journal of IFAC)
Paper: Adaptive controllers for discrete-time systems with arbitrary zeros: An overview

Automatica (Journal of IFAC)
Brief paper: Reduced-order performance of parallel and series-parallel identifiers with weakly observable parasitics

Automatica (Journal of IFAC)
Technical communique: Convergence analysis of recursive identification algorithms with forgetting factor

Automatica (Journal of IFAC)
Paper: Discrete-time adaptive control for deterministic time-varying systems

Automatica (Journal of IFAC)
Paper: Adaptive systems, lack of persistency of excitation and bursting phenomena

Automatica (Journal of IFAC)
Brief Adaptive estimation of discrete-time systems with nonlinear parameterization

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.17

Visualization

Abstract

Output and equation error adaptive identification algorithms are shown to be exponentially convergent under a deterministic or stochastic persistently exciting (or spanning) condition on the system inputs together with several other standard conditions. An adaptive control algorithm is shown to be exponentially convergent under a deterministic or stochastic persistently exciting condition on the reference trajectory together with some standard conditions.