Building from recent results on passivity for a class of hybrid systems, we investigate the properties of negative feedback interconnections of such systems. We establish links between the passivity properties of the individual subsystems and passivity, stability, and asymptotic stability of their interconnection. As a main difference to the continuous time counterpart, it is found that the sum of the two storage functions of two individual hybrid subsystems may not be a storage function for their interconnection. This issue motivates exploring additional sufficient conditions that guarantee that passivity and stability of the interconnected system hold using the individual storage functions. Throughout the paper, an application and examples illustrate the definitions and the results obtained.

Roberto Naldi, Ricardo G. Sanfelice (2014). Sufficient conditions for passivity and stability of interconnections of hybrid systems using sums of storage functions2014 American Control Conference [10.1109/ACC.2014.6859327].

Sufficient conditions for passivity and stability of interconnections of hybrid systems using sums of storage functions2014 American Control Conference

NALDI, ROBERTO;
2014

Abstract

Building from recent results on passivity for a class of hybrid systems, we investigate the properties of negative feedback interconnections of such systems. We establish links between the passivity properties of the individual subsystems and passivity, stability, and asymptotic stability of their interconnection. As a main difference to the continuous time counterpart, it is found that the sum of the two storage functions of two individual hybrid subsystems may not be a storage function for their interconnection. This issue motivates exploring additional sufficient conditions that guarantee that passivity and stability of the interconnected system hold using the individual storage functions. Throughout the paper, an application and examples illustrate the definitions and the results obtained.
2014
2014 American Control Conference
1432
1437
Roberto Naldi, Ricardo G. Sanfelice (2014). Sufficient conditions for passivity and stability of interconnections of hybrid systems using sums of storage functions2014 American Control Conference [10.1109/ACC.2014.6859327].
Roberto Naldi;Ricardo G. Sanfelice
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/398315
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