Variable Structure Control of switched systems based on Lyapunov-Metzler-SPR systems

This paper presents two variable structure controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzle...

Full description

Saved in:
Bibliographic Details
Main Authors: Cardim, R., Teixeira, M., Assuncao, E., Covacic, M.R.
Format: Conference Proceeding
Language:English
Subjects:
Control system synthesis
Control systems
Design methodology
Filtering theory
Linear feedback control systems
Linear matrix inequalities
Output feedback
Stability
State feedback
Switched systems
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents two variable structure controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzler (LM) inequalities and also on strictly positive real (SPR) systems stability results. The definition of Lyapunov-Metzler-SPR (LMS) systems and its direct application in the design of VSC for switched systems are introduced in this paper. Two examples illustrate the design of the proposed VSC, considering a plant given by a switched system with a switched-state control law and two linear time-invariant systems, that are not controllable and also can not be stabilized with state feedback.
ISSN:2158-3978
DOI:10.1109/VSS.2008.4570676