Fault Tolerance Analysis for Switched Systems Via Global Passivity

Abstract

In this brief, we introduce the passivity theory into the fault tolerance analysis for switched systems. We propose a ldquoglobal passivityrdquo concept which means that the <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">total</i> <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">energy</i> stored by the switched system is less than the <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">total</i> <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">energy</i> supplied from the outside. The individual passivity of each mode is not required, and the stability of the system can be achieved via the global energy dissipativity in the presence of faults. We further provide a ldquoperiodic fault tolerant passivityrdquo to check the fault tolerance easily. The obtained results are extended to feedback interconnected systems. A switched <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RLC</i> circuit example is taken to illustrate the efficiency of the proposed results.