Input-output pseudolinearization for nonlinear systems

• Published in: IEEE transactions on automatic control Vol. 39; no. 11; pp. 2207 - 2218
• Main Authors: Lawrence, D.A., Rugh, W.J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-11-1994; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control systems; Control theory. Systems; Ear; Exact sciences and technology; Linear approximation; Nonlinear control systems; Nonlinear equations; Nonlinear systems; State feedback; Sufficient conditions; State feedback; Input output; Approximation; Transformation of coordinates; Necessary and sufficient condition; Control system; Tracking(movable target); Inversion; Non linear system
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/9.333766

An input-output pseudolinearized system has the property that its family of linearizations about constant operating points has input-output behavior that is independent of the operating point. We develop a necessary and sufficient condition for existence of a state feedback and state coordinate change that transforms a given system into a pseudo-normal form that is input-output pseudolinearized. These ideas are applied to obtain new approaches to approximate tracking and approximate inversion of nonlinear systems.< >