Strong practical stability based robust stabilization of uncertain discrete linear repetitive processes
Dabkowski, P, Galkowski, K, Bachelier, O, Rogers, E, Kummert, A and Lam, J (2013) Strong practical stability based robust stabilization of uncertain discrete linear repetitive processes. Numerical Linear Algebra with Applications, 20, 220-233.
Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest whose dynamics evolve over a subset of the positive quadrant in the 2D plane. 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. Stability along the pass demands a bounded-input bounded-output property over the complete positive quadrant of the 2D plane and this is a very strong requirement, especially in terms of control law design. A more feasible alternative for some cases is strong practical stability, where previous work has formulated this property and obtained necessary and sufficient conditions for its existence together with Linear Matrix Inequality (LMI) based tests, which then extend to allow control law design. This paper develops considerably simpler, and hence computationally more efficient, stability tests that extend to allow control law design in the presence of uncertainty in process model.
|Divisions:||Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control
|Date Deposited:||11 Jul 2011 09:30|
|Last Modified:||26 Apr 2013 13:17|
|Contributors:||Dabkowski, P (Author)
Galkowski, K (Author)
Bachelier, O (Author)
Rogers, E (Author)
Kummert, A (Author)
Lam, J (Author)
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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