Passivity-based H∞ control for a class of switched nonlinear systems

Passivity-based H∞ control for a class of switched nonlinear systems

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Article ID: iaor20172434
Volume: 38
Issue: 4
Start Page Number: 559
End Page Number: 574
Publication Date: Jul 2017
Journal: Optimal Control Applications and Methods
Authors: ,
Keywords: optimization, programming: nonlinear, design
Abstract:

In this paper, we investigate the H control problem for a class of switched nonlinear systems based on passivity. The solvability conditions of the H control problem are obtained by designing a state‐dependent switching law and state feedback controller of each subsystem. In addition, if all subsystems are not passive, we make a partition of the state space and design controllers for subsystems such that each subsystem has the passivity property on the associated region, and then obtain solvability conditions of the H control problem. An example is provided to demonstrate the effectiveness of the proposed design method.

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