Abstract
The paper considers multiple-input multiple-output discrete systems with nonlinearities confined to sectors and with linear parts having parameter uncertainties. A recently derived mathematical tool, the determination of zero-sets location, is used to obtain the complete feasible set of sectors of the nonlinearities which maintain robust absolute stability, according to Tsypkin's criterion. Moreover, for flexibility of design, this set is influenced and controlled by an internal feedback loop. This feedback loop may also serve as a stabilizer of the linear part, if necessary. A numerical example is provided.
| Original language | English |
|---|---|
| Pages (from-to) | 333-351 |
| Number of pages | 19 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 14 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1997 |
| Externally published | Yes |
Bibliographical note
Funding Information:The authors are grateful to Professors E. I. Jury and Y. Z. Tsypkin for reading the manuscript and for their valuable comments. The work of the second and third authors was supported in part by the Fund for the Promotion of Research at Technion. The second author also acknowledges the H. Kieval Research Fund.
Funding
The authors are grateful to Professors E. I. Jury and Y. Z. Tsypkin for reading the manuscript and for their valuable comments. The work of the second and third authors was supported in part by the Fund for the Promotion of Research at Technion. The second author also acknowledges the H. Kieval Research Fund.
| Funders | Funder number |
|---|---|
| Fund for the Promotion of Research at Technion |