l∞-induced output-feedback controller synthesis for positive nonlinear systems via T-S fuzzy model approach

This paper investigates the l(infinity)-induced output-feedback controller synthesis problem for positive Takagi-Sugeno (T-S) fuzzy systems. For positive T-S fuzzy systems, a sufficient condition for stability and l(infinity)-induced performance is first put forward using a group of linear inequalities. Then, on the basis of these inequalities, the conditions on which static output-feedback controllers exist are set up, and to solve these conditions, a method of iterative convex optimization is provided. Moreover, acomplete solution to the synthesis problem of the controller is proposed based on linear programming for positive T-S fuzzy systems with single output or input. Finally, two examples are presented to illustrate and verify the effective and applicable methods derived in this paper. (C) 2019 Elsevier B.V. All rights reserved.