| Автор | Logemann, Hartmut |
| Автор | Curtain, Ruth F. |
| Дата выпуска | 2000 |
| dc.description | We derive absolute stability results for well-posed infinite-dimensional systems which, in a sense, extend the well-known circle criterion to the case that the underlying linear system is the series interconnection of an exponentially stable well-posed infinite-dimensional system and an integrator and the nonlinearity ϕ satisfies a sector condition of the form (ϕ(u),ϕ(u) - au) ≤ 0 for some constant a>0. These results are used to prove convergence and stability properties of low-gain integral feedback control applied to exponentially stable, linear, well-posed systems subject to actuator nonlinearities. The class of actuator nonlinearities under consideration contains standard nonlinearities which are important in control engineering such as saturation and deadzone. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 2000 |
| Тема | Absolute stability |
| Тема | actuator nonlinearities |
| Тема | circle criterion |
| Тема | integral control |
| Тема | positive real |
| Тема | robust tracking |
| Тема | well-posed infinite-dimensional systems. |
| Название | Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control |
| Тип | research-article |
| DOI | 10.1051/cocv:2000115 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 5 |
| Первая страница | 395 |
| Последняя страница | 424 |
| Аффилиация | Logemann Hartmut; Department of Mathematical Sciences, University of Bath, Claverton Down, Bath BA2 7AY, U.K.; hl@maths.bath.ac.uk. |
| Аффилиация | Curtain Ruth F.; Mathematics Institute, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands; R.F.Curtain@math.rug.nl. |
