Xu, SY
Lam, J.
Lin, ZP
Galkowski, K
This brief, deals with the problem of positive real control for uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini local state-space model. The parameter uncertainty is time-invariant and norm-bounded. The problem we address is the design of a state feedback controller that robustly stabilizes the uncertain system and achieves the extended strictly positive realness of the resulting closed-loop system for all admissible uncertainties. A version of positive realness for 2-D discrete systems is established. Based on this, a condition for the solvability of the positive real control problem is derived in terms of a linear matrix inequality. Furthermore, the solution of a desired. state feedback controller is also given. Finally, we provide a numerical example to demonstrate the applicability of the proposed approach.
Bibliographic reference |
Xu, SY ; Lam, J. ; Lin, ZP ; Galkowski, K. Positive real control for uncertain two-dimensional systems. In: IEEE Transactions on Circuits and Systems Part 1: Fundamental Theory and Applications, Vol. 49, no. 11, p. 1659-1666 (2002) |
Permanent URL |
http://hdl.handle.net/2078.1/41543 |