Non-fragile Optimal H2/LQR Control with Regional Pole Placement for Hypersonic Vehicle

Abstract

Abstract: A kind of robust mixed nonfragile optimal H2/LQR control with regional pole placement was proposed for an airbreathing hypersonic vehicle (AHV). A new linear uncertain model was developed according to a nonlinear longitudinal model of an AHV and then a multiobjective nonfragile controller was designed that includes regional pole placement, robust guaranteed cost control and optimal H2 control performance indexes for the proposed linear uncertain model. The paper also took the gain variation of the controller into account due to parametric uncertainties of an AHV flight condition and the errors existed in modeling. The existed conditions of the multiobjective nonfragile controller were deduction by linear matrix inequalities (LMIs). Finally, the simulation comparisons between nonfragile controller and traditional controller that without considering the gain variation illustrate the advantages and effectiveness of our approach.

Key words: non-fragile control, optimal H2/LQR （linear quadratic regulator） control, regional pole placement, hypersonic vehicle

CLC Number:

V 249.1

HUANG Yi-Qing, WANG Li, SUN Chang-Yin. Non-fragile Optimal H2/LQR Control with Regional Pole Placement for Hypersonic Vehicle[J]. Journal of Shanghai Jiaotong University, 2011, 45(03): 423-428.

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