Decentralized output regulation of large scale nonlinear systems with delay

Zhengtao Ding

Kybernetika (2009)

  • Volume: 45, Issue: 1, page 33-48
  • ISSN: 0023-5954

Abstract

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This paper deals with output regulation of a class of large-scale nonlinear systems with delays. Each of the subsystems is in the output feedback form, with nonlinear functions of the subsystem output and the outputs of other subsystems. The system outputs are subject to unknown constant delays. Both the system dynamics and the measurements are subject to unknown disturbances generated from unknown linear exosystems. Decentralized control design approach is adopted to design local controllers using measurements or regulated errors in each subsystems. It is shown in this paper that delays in the outputs of subsystems do not affect the existence of desired feedforward control input, and the invariant manifolds and the desired feedforward inputs always exist if the nonlinear functions are polynomials. Through a special parameterization of an augmented exosystem, an internal model can be designed for each subsystem, without the involvements of the uncertain parameters. The uncertain parameters affected by the uncertainty of the exosystem are estimated using adaptive control laws, and adaptive coefficients in the control inputs are used to suppress other uncertainties. The proposed decentralized adaptive control strategy ensures the global stability of the entire system, and the convergence to zero of the regulated errors. An example is included to demonstrate the proposed control strategy.

How to cite

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Ding, Zhengtao. "Decentralized output regulation of large scale nonlinear systems with delay." Kybernetika 45.1 (2009): 33-48. <http://eudml.org/doc/37660>.

@article{Ding2009,
abstract = {This paper deals with output regulation of a class of large-scale nonlinear systems with delays. Each of the subsystems is in the output feedback form, with nonlinear functions of the subsystem output and the outputs of other subsystems. The system outputs are subject to unknown constant delays. Both the system dynamics and the measurements are subject to unknown disturbances generated from unknown linear exosystems. Decentralized control design approach is adopted to design local controllers using measurements or regulated errors in each subsystems. It is shown in this paper that delays in the outputs of subsystems do not affect the existence of desired feedforward control input, and the invariant manifolds and the desired feedforward inputs always exist if the nonlinear functions are polynomials. Through a special parameterization of an augmented exosystem, an internal model can be designed for each subsystem, without the involvements of the uncertain parameters. The uncertain parameters affected by the uncertainty of the exosystem are estimated using adaptive control laws, and adaptive coefficients in the control inputs are used to suppress other uncertainties. The proposed decentralized adaptive control strategy ensures the global stability of the entire system, and the convergence to zero of the regulated errors. An example is included to demonstrate the proposed control strategy.},
author = {Ding, Zhengtao},
journal = {Kybernetika},
keywords = {decentralized control; output regulation; nonlinear systems; time delay; decentralized control; output regulation; nonlinear systems; time delay},
language = {eng},
number = {1},
pages = {33-48},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Decentralized output regulation of large scale nonlinear systems with delay},
url = {http://eudml.org/doc/37660},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Ding, Zhengtao
TI - Decentralized output regulation of large scale nonlinear systems with delay
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 1
SP - 33
EP - 48
AB - This paper deals with output regulation of a class of large-scale nonlinear systems with delays. Each of the subsystems is in the output feedback form, with nonlinear functions of the subsystem output and the outputs of other subsystems. The system outputs are subject to unknown constant delays. Both the system dynamics and the measurements are subject to unknown disturbances generated from unknown linear exosystems. Decentralized control design approach is adopted to design local controllers using measurements or regulated errors in each subsystems. It is shown in this paper that delays in the outputs of subsystems do not affect the existence of desired feedforward control input, and the invariant manifolds and the desired feedforward inputs always exist if the nonlinear functions are polynomials. Through a special parameterization of an augmented exosystem, an internal model can be designed for each subsystem, without the involvements of the uncertain parameters. The uncertain parameters affected by the uncertainty of the exosystem are estimated using adaptive control laws, and adaptive coefficients in the control inputs are used to suppress other uncertainties. The proposed decentralized adaptive control strategy ensures the global stability of the entire system, and the convergence to zero of the regulated errors. An example is included to demonstrate the proposed control strategy.
LA - eng
KW - decentralized control; output regulation; nonlinear systems; time delay; decentralized control; output regulation; nonlinear systems; time delay
UR - http://eudml.org/doc/37660
ER -

References

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  11. Output regulation with nonlinear internal models, Systems Control Lett. 53 (2004), 177–185. Zbl1157.93412MR2092508
  12. Global robust output regulation for a class of nonlinear systems, Systems Control Lett. 39 (2000), 133–139. MR1826676
  13. Global decentralised output regulation for a class of large-scale nonlinear systems with nonlinear exosystems, IET Control Theory Appl. 1 (2007), 1504–1511. MR2350838
  14. Global adaptive output regulation of a class of nonlinear systems with nonlinear exosystems, Automatica 43 (2007), 143–149. MR2266780
  15. Decentralized adaptive output regulation for large-scale nonlinear systems, IEEE Trans. Automat. Control 48 (2003), 276–281. MR1957326

Citations in EuDML Documents

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  1. Shutang Liu, Yuan Jiang, Ping Liu, Rejection of nonharmonic disturbances in nonlinear systems
  2. Xiaoli Wang, Fengling Han, Robust coordination control of switching multi-agent systems via output regulation approach
  3. Yuan Jiang, Ke Lu, Jiyang Dai, Global robust output regulation of a class of nonlinear systems with nonlinear exosystems
  4. Yuan Jiang, Jiyang Dai, Robust control of chaos in modified FitzHugh-Nagumo neuron model under external electrical stimulation based on internal model principle
  5. Wen-Jeng Liu, Decentralized control for large-scale systems with time-varying delay and unmatched uncertainties
  6. Altuğ İftar, Extension principle and controller design for systems with distributed time-delay

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