| Title:
|
Decentralized output regulation of large scale nonlinear systems with delay (English) |
| Author:
|
Ding, Zhengtao |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
33-48 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
decentralized control |
| Keyword:
|
output regulation |
| Keyword:
|
nonlinear systems |
| Keyword:
|
time delay |
| MSC:
|
37C27 |
| MSC:
|
93A14 |
| MSC:
|
93C10 |
| MSC:
|
93D05 |
| MSC:
|
93D15 |
| MSC:
|
93D21 |
| idZBL:
|
Zbl 1158.93303 |
| idMR:
|
MR2489579 |
| . |
| Date available:
|
2010-06-02T18:17:45Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140002 |
| . |
| Reference:
|
[1] C. Chen and Z. Ding: Global output regulation of nonlinear time-delay systems with unknown exosystems.In: Proc. 17th IFAC World Congress, Seoul 2008, pp. 12141–14146. |
| Reference:
|
[2] Z. Ding: Global output regulation of uncertain nonlinear systems with exogenous signals.Automatica 37 (2001), 113–119. Zbl 0964.93057, MR 1832885 |
| Reference:
|
[3] Z. Ding: Output regulation of uncertain nonlinear systems with nonlinear exosystems.IEEE Trans. Automatic Control 51 (2006), 498–503. MR 2205690 |
| Reference:
|
[4] E. Fridman: Output regulation of nonlinear systems with delay.Systems Control Lett. 50 (2003), 81–93. Zbl 1157.93387, MR 2012298 |
| Reference:
|
[5] D. S. Gilliam, V. I. Shubov, C. I. Byrnes, and E. D. Vugrin: Output regulation for delay systems: tracking and disturbance rejection for an oscillator with delayed damping.In: Proc. 2002 IEEE Internat. Conference on Control Application, Glasgow 2002, pp. 554–558. |
| Reference:
|
[6] J. Huang and W. J. Rugh: On a nonlinear multivariable servomechanism problem.Automatica 26 (1990), 963–972. MR 1080983 |
| Reference:
|
[7] A. Isidori and C. I. Byrnes: Output regulation of nonlinear systems.IEEE Trans. Automat. Control 35 (1990), 131–140. MR 1038409 |
| Reference:
|
[8] S. Jain and F. Khorrami: Decentralized adaptive output feedback design for large-scale nonlinear systems.IEEE Trans. Automat. Control 42 (1986), 729–736. MR 1454219 |
| Reference:
|
[9] Z. P. Jiang: Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback.IEEE Trans. Automat. Control 45 (2000), 2122–2128. Zbl 0989.93008, MR 1798454 |
| Reference:
|
[10] Z. Jiang, D. W. Repperger, and D. J. Hill: Decentralized nonlinear output-feedback stabilization with disturbance attenuation.IEEE Trans. Automat. Control 46 (2001) 1623–1629. MR 1858067 |
| Reference:
|
[11] F. D. Priscoli: Output regulation with nonlinear internal models.Systems Control Lett. 53 (2004), 177–185. Zbl 1157.93412, MR 2092508 |
| Reference:
|
[12] A. Serrani and A. Isidori: Global robust output regulation for a class of nonlinear systems.Systems Control Lett. 39 (2000), 133–139. MR 1826676 |
| Reference:
|
[13] Z. Xi and Z. Ding: Global decentralised output regulation for a class of large-scale nonlinear systems with nonlinear exosystems.IET Control Theory Appl. 1 (2007), 1504–1511. MR 2350838 |
| Reference:
|
[14] Z. Xi and Z. Ding: Global adaptive output regulation of a class of nonlinear systems with nonlinear exosystems.Automatica 43 (2007), 143–149. MR 2266780 |
| Reference:
|
[15] X. Ye and J. Huang: Decentralized adaptive output regulation for large-scale nonlinear systems.IEEE Trans. Automat. Control 48 (2003), 276–281. MR 1957326 |
| . |
