A consequence of invertibility on the normal form of a MIMO nonlinear systems. Issue 18 (2016)

• Record Type: Journal Article
• Authors: Wang, Lei; Isidori, Alberto; Marconi, Lorenzo; Su, Hongye
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 18(2016)
• Page Start: 856
• Page End: 861
• Publication Date: 2016
• Subjects: Multi-input multi-output nonlinear systems -- normal form -- invertibility -- observability; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.10.273
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper, a relevant consequence of invertibility on the normal form of MIMO nonlinear systems is presented. Making full use of the definition of uniform invertibility in the sense of Singh, the multipliers δ i +1 ( x )'s in the normal form are shown to possess a special property, that is to be triangularly dependent on the x 2, i 's. As a matter of fact, this property turns out to be necessary and sufficient for uniform invertibility in the case of a two-input two-output systems having normal form. Moreover, we also show that invertibility, or this special property of the multipliers, is a sufficient condition of uniform complete observability.