Abstract
In this work, a homotopy optimization method is proposed for reconstructing unknown inputs in non-linear dynamical systems. The unknown inputs are parametrized using a B-spline basis. This parameterization of inputs converts the unknown input identification problem into a parameter identification problem. The unknown parameters are identified through an optimization process. The proposed homotopy-based optimization method is designed to converge to the global optimal solution instead of a local minimum. The unknown parameters are obtained through a series of iterations guided by a homotopy parameter and an optimization algorithm.
Highlights
The unknown input reconstruction problem deals with unmodelled dynamics, exogenous inputs, faults or other uncertainties and is important from the perspective of robust control, optimal control, and system supervision [1]
We propose an optimization-based approach for reconstructing unknown inputs in non-linear systems
In order to understand the influence of homotopy transformation on the objective function, we study the dynamics of the error terms
Summary
The unknown input reconstruction problem deals with unmodelled dynamics, exogenous inputs, faults or other uncertainties and is important from the perspective of robust control, optimal control, and system supervision [1]. The problem of unknown input reconstruction has been widely studied for many year. We propose an optimization-based approach for reconstructing unknown inputs in non-linear systems. The optimization problem is posed via parameterization of the unknown inputs using basis functions. The transformed objective function can be minimized using any deterministic approach to arrive at a global minimum [12], while slowly varying l from 1 to 0 as the optimization proceeds. This approach is hereafter referred to as the homotopy optimization method. UNKNOWN INPUT RECONSTRUCTION IN NON-LINEAR DYNAMICAL SYSTEMS USING HOMOTOPY OPTIMIZATION.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
