Uncertain bang-bang control problem for multi-stage switched systems

摘要

A control problem for multi-stage switched systems with subsystems disturbed by uncertainty is presented. This problem is formulated as computing the optimal continuous input and the optimal switching strategy that jointly optimizes a linear performance index. Analytic expressions are derived for both of them. Enumeration method for solving such a control problem suffers a high computational requirement due to the fact that an exponential number of switching sequences must be explored. Genetic Algorithm is chosen to improve the computing efficiency. The examples validate the effectiveness of the method. (C) 2020 Elsevier B.V. All rights reserved.