Gain-Scheduled Controller Design for a LPV Model of a Turboshaft Driving Variable Pitch Propeller

This paper has proposed‎ ‎a gain-scheduled controller‎ with stability proof and guaranteed cost for a turboshaft driving a variable pitch propeller‎‎. ‎In order to overcome the complexity of the nonlinear model‎, a linear parameter varying (LPV) model is proposed for the first time which is in affine form.‎ Proposed model is established based on a family of local linear models and is suitable for LPV gain scheduling methods‎. Thus a gain scheduled design procedure is proposed which considers parameter dependent Lyapunov matrices to ensure stability and a quadratic cost function for guaranteed performance of the closed loop system‎‎. Proposed procedure also has the advantage of considering an upper bound for change rate of the scheduling signal which decreases conservativeness. ‎Controller design problem and calculating its gain matrices is formulated in a set of Linear Matrix Inequalities‎ which easily can be solved using LMILAB toolbox. Simulation results showed the effectiveness and practicality of the proposed procedure.

Gain-Scheduled Controller Design for a LPV Model of a Turboshaft Driving Variable Pitch Propeller Keywords:

‎Gas Turbine Engine‎ , ‎Linear Parameter Varying System‎ , ‎Gain-scheduled Controller‎ , ‎Linear Matrix Inequality , واژگان کلیدی: توربین گازی , سیستم خطی متغیر با پارامتر , کنترل کننده جدول بندی بهره , نامساوی ماتریسی خطی