Strong practical stability and stabilization of uncertain discrete linear repetitive processes

0391865 - ÚTIA 2014 RIV GB eng J - Článek v odborném periodiku
Dabkowski, Pavel - Galkowski, K. - Bachelier, O. - Rogers, E. - Kummert, A. - Lam, J.
Strong practical stability and stabilization of uncertain discrete linear repetitive processes.
Numerical Linear Algebra with Applications. Roč. 20, č. 2 (2013), s. 220-233. ISSN 1070-5325. E-ISSN 1099-1506
Grant CEP: GA MŠMT(CZ) 1M0567
Výzkumný záměr: CEZ:AV0Z10750506
Institucionální podpora: RVO:67985556
Klíčová slova: strong practical stability * stabilization * uncertain discrete linear repetitive processes * linear matrix inequality
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 1.424, rok: 2013
http://onlinelibrary.wiley.com/doi/10.1002/nla.812/abstract

Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes originally consisted of two distinct concepts termed asymptotic stability and stability along the pass, respectively, where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak, and stability along the pass is too strong for meaningful progress to be made. This, in turn, has led to the concept of strong practical stability for such cases, where previous work has formulated this property and obtained necessary and sufficient conditions for its existence together with Linear Matrix Inequality based tests, which then extend to allow robust control law design. This paper develops considerably simpler, and hence computationally more efficient, stability tests that also extend to allow control law design.
Trvalý link: http://hdl.handle.net/11104/0220845