Uncertain Polytopic LPV Modelling Based on the Number of Optimal Equilibrium Points and Robust Control
ZHENG Yalong
JIANG Ju
XU Wenying
Abstract：Considering that the wide flight envelope and strong model parameters uncertainties of hypersonic vehicle,this re-search work has made progress in both modeling and control.The theory of gap metric which can describe the degree of defference in the model is introduced into the LPV modeling process.The control gain matrix is derived by solving a set of linear matrix inequali-ties(LMIs). A sufficient condition is proposed to guarantee the asymptotic stability of the closed-loop LPV systems while the verti-ces have parameter uncertainties. Simulation results show that this new method can reduce the conservativeness of traditional LPV controllers.The command tracking and robustness of the LPV control system are in satisfactory performances. The robust perfor-mance and stability of the system under strong parameters uncertainties are also guaranteed.
Keywords：hypersonic vehiclenumber of optimal equilibrium pointsgap metricuncertain polytopic LPVrobust control
Publication Date：2019-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 56-60,83 )