Stabilizing Controller Design for State-based Switching Bilinear Systems

Reference

S. Lin, B. De Schutter, and D. Li, "Stabilizing controller design for state-based switching bilinear systems," Proceedings of the 57th IEEE Conference on Decision and Control, Miami Beach, Florida, pp. 6452-6457, Dec. 2018.

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.

Publisher page

Downloads

BibTeX

@inproceedings{LinDeS:18-022,
   author    = {Lin, Shu and De Schutter, Bart and Li, Dewei},
   title     = {Stabilizing Controller Design for State-based Switching
                Bilinear Systems},
   booktitle = {Proceedings of the 57th IEEE Conference on Decision and
                Control},
   address   = {Miami Beach, Florida},
   pages     = {6452--6457},
   month     = dec,
   year      = {2018}
   }


Go to the publications overview page.

This page is maintained by Bart De Schutter. Last update: March 16, 2026.