Journal ArticleDOI
Stability analysis of discrete-time adaptive control schemes
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In this article, the stability properties of a fairly general diserete-time adaptive control scheme are analyzed and sufficient conditions for L ∞ stability in the presence of disturbances are given.Abstract:
The stability properties of a fairly general diserete-time adaptive control scheme are analyzed. Sufficient conditions for L^{\infty} stability in the presence of disturbances are given. The stability results are used to prove convergence of the process outputs in the disturbance-free case, without requiring any a priori stability assumption.read more
Citations
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Journal ArticleDOI
Theory and applications of adaptive control-A survey
TL;DR: It is shown that adaptive control laws can also be obtained from stochastic control theory, and different approaches are discussed with particular emphasis on model reference adaptive systems and self-tuning regulators.
Journal ArticleDOI
Design issues in adaptive control
TL;DR: In this article, an integrated approach to the design of practical adaptive control algorithms is presented, where many existing ideas are brought together, and the effect of various design parameters available to a user is explored.
Journal ArticleDOI
Decentralized adaptive control of interconnected systems
TL;DR: In this article, the adaptive control of a class of large-scale systems formed of an arbitrary interconnection of subsystems with unknown parameters, nonlinearities, and bounded disturbances is investigated.
Proceedings ArticleDOI
Bounded error adaptive control
B. Peterson,Kumpati S. Narendra +1 more
TL;DR: In this paper, the problem of identifying and controlling when plant output is corrupted with disturbance and when plant parameters vary with time is considered, and the error model can be described by a non-homogeneous differential equation.
Journal ArticleDOI
Adaptive feedback control
TL;DR: Early ideas which primarily attempt to compensate for gain variations and more general methods like gain scheduling, model reference adaptive control, and self-tuning regulators are reviewed.
References
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Journal ArticleDOI
On self tuning regulators
TL;DR: In this paper, the problem of controlling a system with constant but unknown parameters is considered and an algorithm obtained by combining a least squares estimator with a minimum variance regulator computed from the estimated model is analyzed.
Journal ArticleDOI
Analysis of recursive stochastic algorithms
TL;DR: It is shown how a deterministic differential equation can be associated with the algorithm and examples of applications of the results to problems in identification and adaptive control.
Journal ArticleDOI
Self-tuning controller
David Clarke,Peter J. Gawthrop +1 more
TL;DR: In this paper, a cost function which incorporates system input, output and set-point variations is selected, and a control law for a known system is derived, and the control input is chosen to make the prediction zero.
Journal ArticleDOI
Paper: Theory and applications of self-tuning regulators
TL;DR: The regulator algorithms, their theory and industrial applications are reviewed and the major ideas are covered but detailed analysis is given elsewhere.
Journal ArticleDOI
On positive real transfer functions and the convergence of some recursive schemes
TL;DR: The convergence with probability one of a recently suggested recursive identification method by Landau is investigated and the positive realness of a certain transfer function is shown to play a crucial role, both for the proof of convergence and for convergence itself.