H∞ Takagi-Sugeno Fuzzy State-Derivative Feedback Control Design for Nonlinear Dynamic Systems
This paper considers an 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 L2-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.
H∞ fuzzy control, LMI, Takagi-Sugano (TS) fuzzy model, nonlinear dynamic systems, state-derivative feedback.
H∞ Fuzzy Integral Power Control for DFIG Wind Energy System
In order to maximize energy capturing from wind
energy, controlling the doubly fed induction generator to have optimal
power from the wind, generator speed and output electrical power
control in wind energy system have a great importance due to the
nonlinear behavior of wind velocities. In this paper purposes the
design of a control scheme is developed for power control of wind
energy system via H∞ fuzzy integral controller. Firstly, the nonlinear
system is represented in term of a TS fuzzy control design via linear
matrix inequality approach to find the optimal controller to have an
H∞ performance are derived. The proposed control method extract
the maximum energy from the wind and overcome the nonlinearity
and disturbances problems of wind energy system which give good
tracking performance and high efficiency power output of the DFIG.
H∞ fuzzy integral control, linear matrix inequality,
wind energy system, doubly fed induction generator (DFIG).