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Synchronous vs asynchronous switching-based output-feedback control for switched nonlinear systems with measurement noise sensitivity. (English) Zbl 1478.93206

Summary: This paper investigates the problem of output-feedback control in the presence of measurement noise sensitivity for a class of switched nonlinear systems with unknown control coefficients under synchronous vs asynchronous switching. A constructive output-feedback control technique is provided by exploiting the dual-domination method and the average dwell time (ADT) method, which permits removal of a common restriction for output-feedback control in which the measurement sensitivity in switched systems is always a known constant. Also, output-feedback controllers of subsystems with a switched linear observer are designed to guarantee asymptotic stability of the closed-loop system under a class of switching signals with ADT, which effectively handle the influence of different sensor sensitivities for different subsystems in both synchronous vs asynchronous switching. Finally, simulation examples, including a mass-spring-damper mechanical system as a practical example, are given to illustrate the effectiveness of the technique proposed.

MSC:

93B52 Feedback control
93D20 Asymptotic stability in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C10 Nonlinear systems in control theory
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