Author(s)

Amit Dhawan, Haranath Kar

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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.

Linear Matrix Inequality, Lyapunov Methods, Robust Stability, 2-D Discrete Systems, Uncertain Systems, Fornasini-Marchesini Second Local State-Space Model

A. Dhawan and H. Kar, "LMI Approach to Suboptimal Guaranteed Cost Control for 2-D Discrete Uncertain Systems," Journal of Signal and Information Processing, Vol. 2 No. 4, 2011, pp. 292-300. doi: 10.4236/jsip.2011.24042.