Gain-scheduled bank-to-turn autopilot design using linear parameter varying transformations

Lance H. Carter*, Jeff S. Shamma

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

85 Scopus citations


A gain-scheduled autopilot design for a bank-to-turn missile is presented. The approach follows previous work for a longitudinal missile autopilot. The method is novel in that the gain-scheduled design docs not involve linearizations about operating points. Instead, the missile dynamics are brought to a linear parameter varying form via a state transformation. A linear parameter varying system is defined as a linear system whose dynamics depend on an a priori unknown but measurable exogenous parameter. This framework is applied to the design of a coupled longitudinal/lateral bank-to-turn missile autopilot. The pitch and yaw/roll dynamics are separately transformed to linear parameter varying form, where the cross axis states are treated as exogenous parameters. These are actually endogenous variables, and so such a plant is called quasilinear parameter varying. Once in quasilinear parameter varying form, a family of robust controllers using μ synthesis is designed for both the pitch and yaw/roll channels, using angle of attack and roll rate as the scheduling variables. The closed-loop time response is simulated using the original nonlinear model and also using perturbed aerodynamic coefficients.

Original languageEnglish (US)
Pages (from-to)1056-1063
Number of pages8
JournalJournal of Guidance, Control, and Dynamics
Issue number5
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

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


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