Abstract

In this paper a new class of nonlinear feedbacks that guarantee input-to-state stability (ISS) w.r.t. the measurement error is identified. In particular, it is shown that (inverse) optimal feedback laws, that are separable into a globally Lipschitz part and a nonlinearity satisfying a certain inequality condition, guarantee ISS. As a consequence, those state feedbacks in conjunction with any globally asymptotically convergent observer lead to a globally asymptotically stable closed-loop. The theoretical results are applied to several control problems, e.g. the nonlinear output feedback design of a single-link robot arm or an active magnetic bearing system.

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 call

Disclaimer: 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.