Finite-Region Fuzzy Control for Nonlinear 2-D Systems With Input Constraints

This letter considers the finite-region fuzzy control issue of 2-D Roesser systems subject to input constraints, in which the transient information of the plant states is paid more attention. This means that the plant states are required not to exceed a given threshold within a finite-region area. Therefore, the focus of this letter is no longer on the asymptotic behavior of the systems states over an infinite region, but on satisfying the boundedness of the systems states within a finite-region region. A set of sufficient conditions are derived for the finite-region boundedness and $H_{\infty }$ performance of the control plant subject to input constraints. Subsequently, a finite-region controller is devised based on these criteria, and the effectiveness is validated by an illustrative example.