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Control Design for Switched Systems Using Passivity Indices

Summary: 1
Control Design for Switched Systems Using
Passivity Indices
Michael J. McCourt and Panos J. Antsaklis.
Abstract--This paper presents a framework for control design
of interconnected nonlinear switched systems using passivity
and passivity indices. Background material is presented on the
concept of passivity indices for continuously-varying systems. The
passivity indices are then generalized to apply to switched systems
to measure the level of passivity in a system. The main result of
the paper shows how the indices can be compared between two
systems in feedback to verify stability. It is explained how this
theorem can be used as a control design tool for general nonlinear
switched systems. An example is provided to demonstrate this
design method. The connection between passivity indices and
conic systems theory is summarized in the appendix.
Passivity is a characterization of system behavior based on
a generalized notion of energy. A passive system is one that
stores and dissipates energy without generating its own. This


Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame


Collections: Engineering