Parameter Optimization of Linear Control System Based on Lyapunov Stability Theory

DOI

10.2991/icmii-15.2015.27How to use a DOI?

Keywords

Lyapunov function, Optimal parameter, Lyapunov equation, Performance index.

Abstract

This paper aims at optimizing the system parameter of the control system with adjustable parameter. The optimization performance index is represented as a Lyapunov function which is decided by a symmetrical positive definite matrix and system’s initial conditions. This symmetrical positive definite matrix, which is dependent upon the adjustable system parameter, is derived by solving Lyapunov equation so that system’s asymptotical stability can be guaranteed. By doing so, the system parameter optimization problem is changed to be the performance index function extremum problem. Then by solving the partial derivative equation, the extreme point, i.e. the optimal system parameter is determined. Application example indicates that system’s adjustable parameter is optimally selected in the sense that the control system is asymptotically stable as well as the control system performance index is the minimum.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Shengguo Zhang
AU  - Shuo Zhang
AU  - Guoheng Zhang
AU  - Wanchun Liu
PY  - 2015/10
DA  - 2015/10
TI  - Parameter Optimization of Linear Control System Based on Lyapunov Stability Theory
BT  - Proceedings of the 3rd International Conference on Mechatronics and Industrial Informatics
PB  - Atlantis Press
SP  - 144
EP  - 148
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmii-15.2015.27
DO  - 10.2991/icmii-15.2015.27
ID  - Zhang2015/10
ER  -