Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.