Feedback control via Popov for fuzzy systems with input saturations

We investigate a state feedback synthesis problem involving saturating inputs via Popov criterion. The problem formulated in fuzzy model is tackled via Popov criterion borrowed from system theory. We first show the fuzzy version of Popov and then provide synthesis results based on Popov. With the design technique, the closed-loop fuzzy system is asymptotically stabilizable via sector-bounded saturating inputs. We present results in a unified fashion applicable to both continuous- and discrete-time problems. Finally the validity and applicability of the approach are demonstrated by an example.