**Commenced**in January 2007

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**Edition:**International

**Paper Count:**32009

##### H∞ Takagi-Sugeno Fuzzy State-Derivative Feedback Control Design for Nonlinear Dynamic Systems

**Authors:**
N. Kaewpraek,
W. Assawinchaichote

**Abstract:**

*H*

_{∞}TS fuzzy state-derivative feedback controller for a class of nonlinear dynamical systems. A Takagi-Sugeno (TS) fuzzy model is used to approximate a class of nonlinear dynamical systems. Then, based on a linear matrix inequality (LMI) approach, we design an

*H*

_{∞ }TS fuzzy state-derivative feedback control law which guarantees

*L*

_{2}-gain of the mapping from the exogenous input noise to the regulated output to be less or equal to a prescribed value. We derive a sufficient condition such that the system with the fuzzy controller is asymptotically stable and

*H*

_{∞}performance is satisfied. Finally, we provide and simulate a numerical example is provided to illustrate the stability and the effectiveness of the proposed controller.

**Keywords:**
H∞ fuzzy control,
LMI,
Takagi-Sugano (TS) fuzzy model,
nonlinear dynamic systems,
state-derivative feedback.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1129960

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