Static Output Feedback-based PI Control for Aeroengines Using Linear Matrix Inequality

This paper deals with the problem of designing robust PI controllers for multivariable aeroengines and considers saturation limits at the beginning of the design process. The solution to MIMO PI controllers is based on an iterative algorithm for the static outputfeedback control problem. First of all, we present a procedure for designing MIMO P controllers in the static output-feedback framework. Then, from the computational perspective, this paper illustrates the equivalence between the PI control problem and the P control problem when the linear-state models of the engine are strictly proper. In addition, for the nonstrictly proper engines, we approximately transformed their linear state-space models into a strictly proper form in the sense of H1 norm. Finally, we validate the effectiveness of our method on two advanced aeroengines: a twin-shafted turbine engine and a turbofan engine. Simulation results on both linear and nonlinear engine models show that our method is encouraging. The contribution lies in an LMI formulation for constraining control inputs and a procedure for automatically computing the parameters of PI controllers to regulate multivariable aeroengines.