Dissipativity analysis and synthesis for positive Roesser systems under the switched mechanism and Takagi-Sugeno fuzzy rules.

• The definition of dissipativity for 2-D positive systems is given for the first time. • Controllers are designed to guarantee the dissipativity of the closed-loop systems. • The minimum dwell time method and M-P inverse are utilized in this paper. • Dissipative characteristics of the feedback interconnected system are presented. This paper addresses the dissipativity analysis and controller design for a class of T-S fuzzy positive systems which are described by the Roesser model. First, sufficient conditions obtained by utilizing the minimum dwell time method and co-positive Lyapunov function approach are given to guarantee the considered system is 2-D (ζ , η)- α -dissipative. Then via the state feedback fuzzy controller and the static output feedback fuzzy controller, criteria are also presented under which the resulting closed-loop systems are positive and 2-D (ζ , η)- α -dissipative. Moreover, the explicit design schemes for the desired controller parameters are also presented in the form of linear programming. Finally, a simple illustrative example is provided to show the validity of the approach outlined in this article. [ABSTRACT FROM AUTHOR]