## Global stabilization by output feedback for a class of nonlinear systems with uncertain control coefficients and unmeasured states dependent growth.(English)Zbl 1147.93341

Summary: This paper considers the problem of global stabilization by output feedback for a class of nonlinear systems with uncertain control coefficients and with unmeasured states dependent growth. Mainly due to the uncertain control coefficients, the problem has remained unsolved and its major difficulty stems from the inapplicability of the commonly used high-gain like observer. By introducing an appropriate state transformation and a thoroughly novel observer based on high-gain $$K$$-filters, the backstepping design approach is successfully proposed to the output-feedback controller for this class of systems. It is shown that the global asymptotic stability of the closed-loop system can be guaranteed by the appropriate choice of the control parameters.

### MSC:

 93B52 Feedback control 93D10 Popov-type stability of feedback systems 93C10 Nonlinear systems in control theory
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### References:

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