Observer design based on triangular form generated by injective map

Hou, M.; Busawon, K.; Saif, M.

Abstract

A study is conducted which focuses on showing that for the multi-output case uniform observability is necessary but not sufficient for the existence of a coordinate change bringing a system a triangular form; providing a procedure to construct an injective map for the triangular form transformation; and developing a design of nonlinear observers based on the triangular form. Results show that a procedure is proposed for constructing an injective map as a generalized coordinate change for triangular form transformation. Based on the triangular form a method is developed for designing nonlinear state observers.

• Journal Article Type: Article
• Publication Date: Jul 1, 2000
• Journal: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• Print ISSN: 0018-9286
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 45
• Issue: 7
• Pages: 1350-1355
• APA6 Citation: Hou, M., Busawon, K., & Saif, M. (2000). Observer design based on triangular form generated by injective map. IEEE transactions on automatic control, 45(7), 1350-1355. doi:10.1109/9.867046
• DOI: https://doi.org/10.1109/9.867046
• Keywords: Control and Systems Engineering; Electrical and Electronic Engineering; Computer Science Applications