A New Robust Tracking Control Design for Turbofan Engines: H∞/Leitmann Approach

Abstract

In this paper, a H ∞ /Leitmann approach to the robust tracking control design is presented for an uncertain dynamic system. This new method is developed in the following two steps. Firstly, a tracking dynamic system with simultaneous consideration of parameter uncertainty and noise is modeled based on a linear system and a reference model. Accordingly, a "nominal system" from the tracking system is defined and controlled by a H ∞ control to obtain the asymptotical stability and noise resistance. Secondly, by making use of a Lyapunov function and the norm boundedness, a new robust control with the "Leitmann approach" is designed to cope with the uncertainty. The two controls collaborate with each other to achieve "uniform tracking boundedness" and "uniform ultimate tracking boundedness". The new approach is then applied to an aircraft turbofan control design, and the numerical simulation results show the prescribed performances of the closed-loop system and the advantage of the developed approach.

Robust Control of Small Turbojet Engines

“…σ(F(jω)R(jω)) ≤ γσ(F d (jω)) for all ω > ω 0 (15) Full description of the applied algorithm for computation of Equations (14) and (15) can be found in Reference [2].…”

“…The robust control system was able to adapt using performance weights depending on coefficients, which were determined by the index of the engine's degradation. Robust tracking control of turbofan engines using the H ∞ Leitmann method was applied with good results in attenuation of the engine's uncertainties [14]. By numerical simulations, the authors in the paper proved very good performance in stability of a turbofan engine tracking control.…”

Resilient anti-disturbance H∞ control for turbofan systems

“…In Xie and Zhao (2016), the turbofan systems were constructed as linear parameter-varying systems, and were investigated by the model reference adaptive control method. The authors of Pan et al (2017) discussed the robust tracking control problem for turbofan systems using H ∞ / Leitmann approach. Turbofan systems were studied via applying the linear and parameter-varying control scheme in Balas (2002).…”

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

“…Aircraft engines are typical system of this kind [25], [26]. For engine multi-variable control designs, a set of linear models under corresponding operation conditions are extracted from an engine component-level thermodynamic model [27]- [29]. When the engine works from one operation condition to another continuously in the flight envelope, likewise, the modeling error and/or the disturbances increase significantly.…”