Direct Adaptive Control Algorithms: Theory and Applications

Kaufman, H.; Barkana, Itzhak; Sobel, Kenneth

doi:10.1007/978-1-4684-0217-9

Cited by 158 publications

(124 citation statements)

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“…From Appendix A inspired by (Kaufman et al, 1994), there exist matrices M ij , T ij , i, j = 1, 2 under Assumption 1, and the ideal trajectories x * (t), u * (t) satisfying relations (7), (8) can be expressed as…”

Section: Error System With Proposed Adaptive Pid Controllermentioning

confidence: 99%

Adaptive PID Control for Asymptotic Tracking Problem of MIMO Systems

Tamura¹,

Ohmori²

2011

PID Control, Implementation and Tuning

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Section: Error System With Proposed Adaptive Pid Controllermentioning

confidence: 99%

Adaptive PID Control for Asymptotic Tracking Problem of MIMO Systems

Tamura¹,

Ohmori²

2011

PID Control, Implementation and Tuning

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“…We assume that the reference signal r(t) and the state of the reference model x m (t) are available and the matrices of the reference model are given, while w(t) is not available and the matrices of the plant are unknown. Then, we propose a new adaptive control law to realize a servosystem with integral compensation in the context of simple adaptive control [5]. A key idea is to introduce an integral gain as a tuning parameter instead of an adaptive gain.…”

Section: Problem Formulationmentioning

confidence: 99%

“…See, for example, early developments [2]- [4] related to its theoretical achievements or a comprehensive book [5] on this topic.…”

Section: Introductionmentioning

confidence: 99%

Simple Adaptive Servosystems with Tuning Parameters

Fujisaki

2009

SICE Journal of Control, Measurement, and System Integration

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: A simple adaptive servosystem with a tuning parameter is considered for a linear continuous-time plant. A reference model is introduced for specifying a desirable transient response, while an integral compensator is used in order to cope with a constant disturbance input. Then, an adaptive control law is proposed, which achieves a suitable model following control independently of the selection of the integral gain. In other words, the disturbance rejection property can be tuned by the gain without changing the adaptive control law. This is a feature of the proposed simple adaptive servosystem.

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“…[7] and [2,Chapter 6]. Thc topic of adaptive stabilisation via output feedback is also studied in grcat detail by [11]. In this paper we revisit this aclaptive schcme from a dynamical systems pcrspcctivc.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Dynamics in Adaptive Gain Control

Mareels

Gils

Polderman

1999

Advances in Control

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Surnrnary. It is u'cll knowrr that lincar SISO systcms t,hat can bc rcrrdcrcri passlve through constant output fccdback can be iiclaptivcly st,altiliscd throul;li a single gain adaptation lau,.. \\'c rcvisit, t,hc dynatnical itchaviotrr of such systems and cxhibit througli a bifurcation analysis a rich varicty of potcnt,ial asymptot,lc dynarnics, for which wc providc a control theorctir: intcrprctation. This in turn lcads us to question the actual adaptivc cont,rol qucstiorr arid solution approach.

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Direct Adaptive Control Algorithms: Theory and Applications

Cited by 158 publications

References 0 publications

Adaptive PID Control for Asymptotic Tracking Problem of MIMO Systems

Adaptive PID Control for Asymptotic Tracking Problem of MIMO Systems

Simple Adaptive Servosystems with Tuning Parameters

Asymptotic Dynamics in Adaptive Gain Control

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