Application of LMI for design of digital control systems

• Autorzy: Królikowski A. , Horla D.
• Języki publikacji: EN

Abstrakty

EN

The paper considers a digital design of time-invariant systems in the case of step-invariant (ZOH), bilinear (Tustin’s) and fractional order hold (FROH) discretization methods. The design problem is formulated as linear matrix inequalities (LMI). A closed-loop stability of the digitally designed control systems is discussed.

Słowa kluczowe

EN

digital control; LMI

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2008
• Tom: Vol. 56, nr 4
• Strony: 361--365
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Królikowski A.

autor

Horla D.

• Institute of Control and Information Engineering, Poznan University of Technology, 3a Piotrowo St., 60-965 Poznan, Poland

Bibliografia

• [1] W. Chang, J.B. Park, H.J. Lee, and Y.H. Joo, “LMI approach to digital redesign of linear time-invariant systems”, IEE Proc. Contr. Theory Appl. 4 (149), 297–302 (2007).
• [2] S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics, Philadelphia, 1994.
• [3] L. El Ghaoui, and S.-I. Niculescu, Advances in Linear Matrix Inequality Methods in Control, Society for Industrial and Applied Mathematics, Philadelphia, 1999.
• [4] G. Zhang, and T. Chen, “Comparing digital implementation via the bilinear and step-invariant transformations”, Automatica 40, 327–330 (2004).
• [5] R. Barcena, M. de la Sen, and I. Sagastabeitia, “Improving the stability properties of the zeros of sampled systems with fractional order hold”, IEE Proc. Contr. Theory Appl. 4 (147), 456–464 (2000).