This paper investigates time-invariant linear systems subject to input and state constraints. It is shown that the recoverable region (which is the largest domain of attraction that is theoretically achievable) can be semiglobally stabilized by continuous nonlinear feedbacks while satisfying the constraints. Moreover, a reduction technique is presented which shows, when trying to compute the recoverable region, that we only need to compute the recoverable region for a system of lower dimension which generally leads to a considerable simplification in the computational effort.
|Number of pages||6|
|Publication status||Published - Jun 2003|
|Event||2003 American Control Conference, ACC 2003 - Denver, United States|
Duration: 4 Jun 2003 → 6 Jun 2003
|Conference||2003 American Control Conference, ACC 2003|
|Period||4/06/03 → 6/06/03|
Stoorvogel, A. A., Saberi, A., & Shi, G. (2003). Properties of recoverable region and semi-global stabilization in recoverable region for linear systems subject to constraints. 5072-5077. Paper presented at 2003 American Control Conference, ACC 2003, Denver, United States. https://doi.org/10.1109/ACC.2003.1242531