This chapter proposes a Takagi-Sugeno (T-S) fuzzy controller to achieve the output voltage regulation for pulse-width-modulated (PWM) DC-DC converters. First, the nonlinear dynamics of the converter are derived by the state-space averaging method. After introducing an additional integral state of the output regulation error and taking coordinate transformation on the DC operating points, the augmented system is represented into a T-S fuzzy model. Second, the parallel distributed compensation (PDC) is applied to design of the T-S fuzzy controller. The sufficient conditions of stability and pole-placement constraint are formulated based on the Lyapunov theory. By recasting these constraints into Linear Matrix Inequalities (LMIs), we formulate an LMI feasibility problem for the design of the fuzzy state feedback control system that guarantees stability and satisfies desired closed-loop responses. Finally, numerical simulations are performed for PWM buck-boost converter subject to input voltage and load disturbances.
|Title of host publication||Fuzzy Control Systems|
|Publisher||Nova Science Publishers, Inc.|
|Number of pages||17|
|Publication status||Published - 1 Mar 2012|
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