Robust control of a family of uncertain nonminimum‐phase systems via continuous‐time and sampled‐data output feedback

Lin, Wei; Wei, Wei

doi:10.1002/rnc.3963

Robust control of a family of uncertain nonminimum‐phase systems via continuous‐time and sampled‐data output feedback

Journal Article · Wed Oct 25 00:00:00 EDT 2017 · International Journal of Robust and Nonlinear Control

DOI:https://doi.org/10.1002/rnc.3963· OSTI ID:1404735

^[1]; Wei, Wei ^[2]

School of Electrical Engineering Dongguan University of Technology Guangdong China, Department of Electrical Engineering and Computer Science Case Western Reserve University Cleveland OH USA
School of Electrical Engineering Dongguan University of Technology Guangdong China

Summary

The problem of global robust stabilization is studied by both continuous‐time and sampled‐data output feedback for a family of nonminimum‐phase nonlinear systems with uncertainty. The uncertain nonlinear system considered in this paper has an interconnect structure consisting of a driving system and a possibly unstable zero dynamics with uncertainty, ie, the uncertain driven system. Under a linear growth condition on the uncertain zero dynamics and a Lipschitz condition on the driving system, we show that it is possible to globally robustly stabilize the family of uncertain nonminimum‐phase systems by a single continuous‐time or a sampled‐data output feedback controller. The sampled‐data output feedback controller is designed by using the emulated versions of a continuous‐time observer and a state feedback controller, ie, by holding the input/output signals constant over each sampling interval. The design of either continuous‐time or sampled‐data output compensator uses only the information of the nominal system of the uncertain controlled plant. In the case of sampled‐data control, global robust stability of the hybrid closed‐loop system with uncertainty is established by means of a feedback domination method together with the robustness of the nominal closed‐loop system if the sampling time is small enough.

View Accepted Manuscript (Publisher)

Sponsoring Organization:: USDOE

OSTI ID:: 1404735

Journal Information:: International Journal of Robust and Nonlinear Control, Journal Name: International Journal of Robust and Nonlinear Control Journal Issue: 4 Vol. 28; ISSN 1049-8923

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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