Proceedings ArticleDOI
Parameter adaptive identification and control
H. Elliott,William A. Wolovich +1 more
- Vol. 24, Iss: 4, pp 592-599
TLDR
In this paper, a new parameter adaptive control scheme is outlined which essentially allows one to arbitrarily position all of the poles of an unknown, linear, scalar system of known dynamical order, and it is shown that the overall control configuration, consisting of a system identifier and a complementary adaptive observer, is globally stable provided only that the control input is "sufficiently rich" in frequency content.Abstract:
A new parameter adaptive control scheme is outlined which essentially allows one to arbitrarily position all of the poles of an unknown, linear, scalar system of known dynamical order. The technique is based on identifying the parameters which characterize the dynamical behavior of the system in differential operator form and simultaneously implementing an adaptive observer which generates a feedback control signal which converges to the equivalent of an appropriate pole placing linear state variable control law. It is shown that the overall control configuration, consisting of a system identifier and a complementary adaptive observer, is globally stable provided only that the control input is "sufficiently rich" in frequency content. A study employing an unstable, nonminimum phase plant is presented to illustrate the technique.read more
Citations
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Journal ArticleDOI
Stable adaptive controller design, part II: Proof of stability
TL;DR: In this article, the output of the plant is shown to be bounded by expressing the plant feedback loop as an exponentially stable system with a time-varying gain in the feedback path.
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.
Adaptive Feedback Control
TL;DR: Adaptive control is now finding its way into the marketplace after many years of effort as discussed by the authors, and it is shown that adaptive control laws can be obtained using stochastic control theory.
Journal ArticleDOI
A parameter adaptive control structure for linear multivariable systems
H. Elliott,William A. Wolovich +1 more
TL;DR: In this paper, an adaptive control structure which can be used to assign all poles and zeros of a continuous-time linear multivariable system represented by an (m \times m ) strictly proper transfer matrix T(s) is presented.
Journal ArticleDOI
Global stability of adaptive pole placement algorithms
TL;DR: In this article, direct and indirect adaptive control schemes for assigning the closed-loop poles of a single-input, single-output system in both the continuous and discrete-time cases are presented.
References
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TL;DR: In this paper, a full order adaptive observer is described for observing the state of a single-input single-output observable continuous differential system with unknown parameters, and convergence of the observer states to those of the system is accomplished by directly changing the observer parameters using an adaptive law based upon Lyapunov stability theory.
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On the Uniform Asymptotic Stability of Certain Linear Nonautonomous Differential Equations
A. P. Morgan,Kumpati S. Narendra +1 more
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TL;DR: In this paper, the authors proposed a rapid parameter identification system for linear time-invariant plants with only input and output measurable parameters, using a linear time invariant plant.