Stabilizing controller design for state-based switching bilinear systems

Lin, S.; De Schutter, Bart; Li, Dewei

Stabilizing controller design for state-based switching bilinear systems

Conference paper (2018)

Authors

Bart De Schutter Team Bart De Schutter - Mechanical, Maritime and Materials Engineering , Delft Center for Systems and Control

Dewei Li Shanghai Jiao Tong University

Department

Delft Center for Systems and Control

Lyapunov methods Linear systems Nonlinear systems Switches Aerospace electronics Power system stability

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Published Date

2018

Language

English

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Department

Delft Center for Systems and Control

Abstract

In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.

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