›› 2013, Vol. 39 ›› Issue (1): 15-22.doi: 10.3969/j.issn.1674-1579.2013.01.003

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PolytopicLPVSystemBased Control Design for Hypersonic Vehicle

Abstract：According to the strong coupling and nonlinear characteristics of the hypersonic vehicle model, we propose a gainscheduled statefeedbackbased robust control design method, which is based on polytopic LPV systems. Firstly, Jacobian linearization is used on several selected equilibrium points in the trajectory of the scheduling parameters to get the LPV models. Then the system matrix is discretized and stored into a tensor, and the reducedrank tensor is reconstructed to obtain a finite number of LTI polytopic vertex systems by HOSVD approach. To reduce the conversation of controller design, slack variable matrix is introduced and different Lyapunov function matrix is used on each vertex. The designed polytopicLPVsystembased control in the form of LMI can place all the system closedloop poles in the required region and satisfy the H∞ performance. The numerical simulation results illustrate the validity of the proposed method.   

  1. (1.The Second Artillery Engineering University, Xi’an 710025, China
    2.The Second Artillery Military Representative Office Stationed in Factory 211, Beijing 100076, China)
  • Online:2013-02-24 Published:2013-02-26

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Abstract: Abstract：According to the strong coupling and nonlinear characteristics of the hypersonic vehicle model, we propose a gainscheduled statefeedbackbased robust control design method, which is based on polytopic LPV systems. Firstly, Jacobian linearization is used on several selected equilibrium points in the trajectory of the scheduling parameters to get the LPV models. Then the system matrix is discretized and stored into a tensor, and the reducedrank tensor is reconstructed to obtain a finite number of LTI polytopic vertex systems by HOSVD approach. To reduce the conversation of controller design, slack variable matrix is introduced and different Lyapunov function matrix is used on each vertex. The designed polytopicLPVsystembased control in the form of LMI can place all the system closedloop poles in the required region and satisfy the H∞ performance. The numerical simulation results illustrate the validity of the proposed method.

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