TY - JOUR

T1 - Method of passification in adaptive control, estimation, and synchronization

AU - Andrievskii, B. R.

AU - Fradkov, A. L.

N1 - Funding Information: 1 This work was supported in part by the Russian Foundation for Basic Research, project no. 05-01-00869, and the Scientific Program no. 22 “Control Processes” of the Presidium of the Russian Academy of Sciences. The studies on the “Helicopter” benchmark were carried out within the framework of the project of international cooperation between the Center National de Recherches Scientifique (France) and the Russian Academy of Sciences, project no. 19134 “Robust and Adaptive Control of Complex Systems: Theory and Applications.” The authors are indebted to the staff of the MAC team LAAS-CNRS (Toulouse, France) and especially to Dr. D. Peaucelle for his assistance in running the experiments.

PY - 2006/11

Y1 - 2006/11

N2 - The main results of the method of passification which are based on applying the Yakubovich-Kalman frequency theorem to the design of the feedback systems and examples of its use in the problems of adaptive control state estimation and synchronization were presented. Various types of the adaptive control algorithms with implicit reference model such as the algorithms of stabilization and tracking with the prescribed dynamics algorithms with adaptive tuning of the standard control laws and combined signal-parametric algorithm of adaptive control were described. Brief information about the shunting method in the adaptive control problem was given. The experimental results with the adaptive control on the "Helicopter" benchmark were described. Consideration was given to the problem of adaptive control of the nonlinear plants. Examples of applying the method of passification and adaptive observers to the problems of synchronization of the nonlinear oscillators and message transmission by chaotic signals were presented.

AB - The main results of the method of passification which are based on applying the Yakubovich-Kalman frequency theorem to the design of the feedback systems and examples of its use in the problems of adaptive control state estimation and synchronization were presented. Various types of the adaptive control algorithms with implicit reference model such as the algorithms of stabilization and tracking with the prescribed dynamics algorithms with adaptive tuning of the standard control laws and combined signal-parametric algorithm of adaptive control were described. Brief information about the shunting method in the adaptive control problem was given. The experimental results with the adaptive control on the "Helicopter" benchmark were described. Consideration was given to the problem of adaptive control of the nonlinear plants. Examples of applying the method of passification and adaptive observers to the problems of synchronization of the nonlinear oscillators and message transmission by chaotic signals were presented.

UR - http://www.scopus.com/inward/record.url?scp=33751539277&partnerID=8YFLogxK

U2 - 10.1134/S0005117906110014

DO - 10.1134/S0005117906110014

M3 - Article

AN - SCOPUS:33751539277

VL - 67

SP - 1699

EP - 1731

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 11

ER -