1. Local non-quadratic H-infinity control for continuous-time Takagi-Sugeno models
- Author
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Joaquin Cortez, Adolfo Soto-Cota, José Luis Pitarch, Miguel Bernal, and Abdelhafidh Jaadari
- Subjects
Quadratic equation ,H-infinity methods in control theory ,Control theory ,Fuzzy set ,Control (management) ,Convex optimization ,Trajectory ,Stability (learning theory) ,Fuzzy control system ,Mathematics - Abstract
This paper extends to H ∞ performance design a recent local approach for non-quadratic stabilization of continuous-time Takagi-Sugeno (TS) models based on the fuzzy Lyapunov function (FLF). The main obstacle for using FLFs altogether with TS models consists in handling the time-derivatives of the membership functions (MFs). By reducing global stability goals via local considerations, the aforementioned impediment has been removed leading to stabilization domains where H ∞ disturbance rejection is guaranteed. Conditions are expressed as linear matrix inequalities (LMIs), thus enabling systematic and efficient solutions which are solved by convex optimization techniques.
- Published
- 2011