Article: Robust H ∞ performance problem for linear systems with nonlinear uncertainties in all system matrices
| Title | Robust H ∞ performance problem for linear systems with nonlinear uncertainties in all system matrices |
|---|---|
| Authors | Guo, L1 Lam, J2 |
| Issue Date | 2002 |
| Publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp |
| Citation | International Journal Of Systems Science, 2002, v. 33 n. 11, p. 885-900 [How to Cite?] DOI: http://dx.doi.org/10.1080/00207720210167131 |
| Abstract | This paper considers robust performance analysis and H ∞ controller design for a class of systems with time-varying and nonlinear uncertainties. These uncertainties are allowed to exist not only in the state, but also in the control input, measurement output, exogenous input and derivative of state. A new sufficient condition based on LMI is first provided to analyse the robust H ∞ performance problem of the free systems. For the general case, it is shown that a solvability condition for the output feedback control problem can be reduced to that of a set of LMIs with algebraic constraints. Then it is shown that in some cases, the constraints can be eliminated through simplifications and the output feedback controller design methods can be provided in terms of LMIs. In particular, two special cases of the systems with nonlinear uncertainties are discussed thoroughly and the design procedures of output feedback controllers are provided via typical LMIs. Furthermore, for a class of systems with both structured and nonlinear uncertainties, a new solvability condition is presented and the corresponding problem also cast into that o fan auxiliary system without uncertainties. A few examples are also given to demonstrate the effectiveness of the proposed approaches. |
| ISSN | 0020-7721 2011 Impact Factor: 0.991 2011 SCImago Journal Rankings: 0.051 |
| DOI | http://dx.doi.org/10.1080/00207720210167131 |
| ISI Accession Number ID | WOS:000180627000003 |
| References | References in Scopus |
| dc.contributor.author | Guo, L |
|---|---|
| dc.contributor.author | Lam, J |
| dc.date.accessioned | 2012-08-08T08:43:23Z |
| dc.date.available | 2012-08-08T08:43:23Z |
| dc.date.issued | 2002 |
| dc.description.abstract | This paper considers robust performance analysis and H ∞ controller design for a class of systems with time-varying and nonlinear uncertainties. These uncertainties are allowed to exist not only in the state, but also in the control input, measurement output, exogenous input and derivative of state. A new sufficient condition based on LMI is first provided to analyse the robust H ∞ performance problem of the free systems. For the general case, it is shown that a solvability condition for the output feedback control problem can be reduced to that of a set of LMIs with algebraic constraints. Then it is shown that in some cases, the constraints can be eliminated through simplifications and the output feedback controller design methods can be provided in terms of LMIs. In particular, two special cases of the systems with nonlinear uncertainties are discussed thoroughly and the design procedures of output feedback controllers are provided via typical LMIs. Furthermore, for a class of systems with both structured and nonlinear uncertainties, a new solvability condition is presented and the corresponding problem also cast into that o fan auxiliary system without uncertainties. A few examples are also given to demonstrate the effectiveness of the proposed approaches. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | International Journal Of Systems Science, 2002, v. 33 n. 11, p. 885-900 [How to Cite?] DOI: http://dx.doi.org/10.1080/00207720210167131 |
| dc.identifier.doi | http://dx.doi.org/10.1080/00207720210167131 |
| dc.identifier.epage | 900 |
| dc.identifier.isi | WOS:000180627000003 |
| dc.identifier.issn | 0020-7721 2011 Impact Factor: 0.991 2011 SCImago Journal Rankings: 0.051 |
| dc.identifier.issue | 11 |
| dc.identifier.scopus | eid_2-s2.0-0037107237 |
| dc.identifier.spage | 885 |
| dc.identifier.uri | http://hdl.handle.net/10722/156651 |
| dc.identifier.volume | 33 |
| dc.language | eng |
| dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp |
| dc.publisher.place | United Kingdom |
| dc.relation.ispartof | International Journal of Systems Science |
| dc.relation.references | References in Scopus |
| dc.title | Robust H ∞ performance problem for linear systems with nonlinear uncertainties in all system matrices |
| dc.type | Article |
Author Affiliations
- University of Manchester
- The University of Hong Kong