Characterization of static feedback realizable transfer functions for nonlinear control systems

✍ Scribed by H. J. C. Huijberts

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 152 KB
• Volume: 8
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199809)8:11<979::aid-rnc372>3.0.co;2-p

✦ Synopsis

This paper gives a characterization of all transfer functions that may be realized via regular static-state feedback for a SISO nonlinear control system. It is shown that the question whether there exists a feedback realizable transfer function with a given number of zeros may be reduced to a well-known problem from real-algebraic geometry. As a by-product, solvability conditions for the linear model matching problem via static-state feedback, as well as conditions for the existence of linear subsystems of not necessarily maximal dimension are obtained.