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Zbl 1208.93118
Carrasco, Joaqu{\'\i}n; Baños, Alfonso; van der Schaft, Arjan
A passivity-based approach to reset control systems stability. (English)
[J] Syst. Control Lett. 59, No. 1, 18-24 (2010). ISSN 0167-6911

This work gives a stability analysis of reset compensators in feedback interconnection with passive nonlinear systems. Reset control systems can be regarded as a special case of hybrid systems with impulsive motion. The reset actions amounts to setting the integrator output equal to zero whenever its input is zero. So there is take place a faster system response without excessive overshot. The stability problem of reset control systems is considered using passivity theory on the base of functional analysis. Several examples of full and partial reset compensators are analyzed.
[Yuri N. Sankin (Ul'yanovsk)]

MSC 2000:: *93D15 Stabilization of systems by feedback
93B52 Feedback control
93C10 Nonlinear control systems
46N10 Appl. of functional analysis in optimization and math. programming

Keywords: reset compensators; feedback interconnection; passive nonlinear systems; passivity theory; functional analysis

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