Nonlinear H flight control of general six-degree-of-freedom motions

Ciann Dong Yang, Chien Chung Kung

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


Application of nonlinear H control theory to flight vehicles whose complete six-degree-of-freedom nonlinear equations of motion are considered directly without linearization is investigated. Nonlinear flight control modes such as velocity control, body-rate control, attitude control, and hovering control are designed in a unified framework such that the derived nonlinear H control law is valid for arbitrary flight vehicles. The most difficult and challenging task involved in applying the nonlinear H control theory is to solve the associated Hamilton-Jacobi partial differential inequality (HJPDI). We show that the HJPDI of flight control problems can be solved analytically with simple manipulations. A closed-form expression for the nonlinear H flight controller is derived from the solution of HJPDI and is shown to be in the simple structure of proportional feedback. The numerical simulations show that the derived nonlinear H control law can ensure global and asymptotical stability of the closed-loop system and have strong robustness against wind gusts with varying statistical characteristics.

Original languageEnglish
Pages (from-to)278-288
Number of pages11
JournalJournal of Guidance, Control, and Dynamics
Issue number2
Publication statusPublished - 2000 Jan 1

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics

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