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Nonlinear control design for slightly non-minimum phase systems: Application to V/STOL aircraft

Authors
Journal
Automatica
0005-1098
Publisher
Elsevier
Publication Date
Volume
28
Issue
4
Identifiers
DOI: 10.1016/0005-1098(92)90029-f
Keywords
  • Aerospace Control
  • Nonlinear Control Systems
  • Linearization Techniques
  • Nonlinear Non-Minimum Phase Systems
Disciplines
  • Design

Abstract

Abstract There has been a great deal of excitement recently over the development of a theory for explicitly linearizing the input-output response of a nonlinear system using state feedback. One shortcoming of this theory is the inability to deal with non-minimum phase nonlinear systems. Highly maneuverable jet aircraft, such as the V/STOL Harrier, belong to an important class of a slightly non-minimum phase nonlinear systems. The non-minimum phase character of aircraft is a result of the small body forces that are produced in the process of generating body moments. In this paper, we show that, while straightforward application of the linearization theory to a non-minimum phase system results in a system with a linear input-output response but unstable internal dynamics, designing a feedback control based on a minimum phase approximation to the true system results in a system with desirable properties such as bounded tracking and asymptotic stability.

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