1. A time-scaling technique for time-delay switched systems.
- Author
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Li, Linna, Yu, Changjun, Zhang, Ning, Bai, Yanqin, and Gao, Zhiyuan
- Subjects
TIME delay systems ,TIME perspective ,PROCESS optimization ,NONLINEAR equations ,TARDINESS - Abstract
In this paper, we consider a class of optimal control problems governed by nonlinear time-delay switched systems, in which the system parameters and switching times between different subsystems are decision variables to be optimized. We propose a new computational approach to deal with the computational difficulties caused by variable switching times. The original time-delay switched system is firstly transformed into an equivalent switched system defined on a new time horizon where the switching times are fixed, but each of the subsystems contain a variable time-delay that depends on the durations of each sub-system in the original system. By deriving the analytical form for the variable time-delay in the new time horizon, we can solve the new time-delay switched system. Then, gradient-based optimization algorithm can be applied to solve the equivalent problem efficiently. Numerical results show that this new approach is effective. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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