Journal of Signal and Information Processing

Volume 2, Issue 4 (November 2011)

ISSN Print: 2159-4465   ISSN Online: 2159-4481

Google-based Impact Factor: 1.78  Citations  

LMI Approach to Suboptimal Guaranteed Cost Control for 2-D Discrete Uncertain Systems

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DOI: 10.4236/jsip.2011.24042    5,394 Downloads   9,040 Views  Citations

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ABSTRACT

This paper studies the problem of the guaranteed cost control via static-state feedback controllers for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm bounded uncertainties. A convex optimization problem with linear matrix inequality (LMI) constraints is formulated to design the suboptimal guaranteed cost controller which ensures the quadratic stability of the closed-loop system and minimizes the associated closed-loop cost function. Application of the proposed controller design method is illustrated with the help of one example.

Share and Cite:

Dhawan, A. and Kar, H. (2011) LMI Approach to Suboptimal Guaranteed Cost Control for 2-D Discrete Uncertain Systems. Journal of Signal and Information Processing, 2, 292-300. doi: 10.4236/jsip.2011.24042.

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