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Acta Armamentarii ›› 2019, Vol. 40 ›› Issue (10): 1987-1994.doi: 10.3969/j.issn.1000-1093.2019.10.003

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Analysis of Dynamic Stability of Fixed Canard Dual-spin Projectile

MA Guoliang1, CAI Hongming2, CHANG Sijiang1   

  1. (1.School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China; 2.School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China)
  • Received:2018-09-11 Revised:2018-09-11 Online:2019-12-18

Abstract: Dynamic stability of a fixed canard dual-spin projectile under the condition of arbitrary time-varying roll angle input is investigated. Force equations and moment equations are presented in body fixed plane frame for fixed canard dual-spin projectile, and a state space model for angular motion is established. Dynamic stability is addressed by using Lyapunov method. The dynamic stability of projectile can be determined by solving a Riccati-type linear matrix inequality. The stability factor equation is derived by using complex square root calculation method, and the H norm of absolute stability is defined based on the bounded real lemma. Absolute stability criteria for fixed canard dual-spin projectile is proposed,including stability factor constraint and H norm constraint of absolute stability, and the correctness of stability criteria is validated by using exterior ballistic simulation results. Key

Key words: dual-spinprojectile, fixedcanard, Lyapunovmethod, stabilityfactor, Hnormofabsolutestability

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