Abstract
This paper extends the recent results of [8] on semi-global stabilisation of a class of minimum-phase nonlinear systems via linear state feedback. The class of minimum-phase nonlinear systems considered in this paper subsume those of [8]. More specifically, we show, by explicit construction of the control laws, that a cascade of linear stabilisable and nonlinear asymptotically stable subsystems is semi-globally stabilisable by a linear dynamic feedback of the state of the linear subsystem if the linear subsystem is right invertible and has all its invariant seros in the closed left half s-plane. Our proposed linear dynamic state feedback control law has a single tunable gain parameter that allows for local asymptotical stability and regulation to the origin for any initial condition in some a priori given (arbitrarily large) bounded set.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
