A Hierarchical Robust Control Design With Non-Parallel Distributed Compensator and Application to Aircraft Engines

This paper proposes a hierarchical multivariable robust control design for a class of uncertain nonlinear dynamic system. The dynamic system is described by an uncertain T-S fuzzy model. The uncertainties in the model are structure matched and norm-bounded. For this fuzzy model, a hierarchical robust control consisting of two level compensators is presented. While the level 1 compensator ensures the basic robust performance, the level 2 compensator restrains the uncertainty. Under this design, the controlled system is uniformly bounded and uniformly ultimately bounded. To illustrate the design approach, the application to a multivariable control of turbofan engines is discussed. The semi-physical simulations of the controlled turbofan show that the resulting control is able to guarantee the prescribed boundedness in a more practical condition.