Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme

Abstract

Purpose

This paper aims to study the issues of output reachable set estimation for the linear singular Markovian jump systems (SMJSs) with time-varying delay based on a proportional plus derivative (PD) bumpless transfer (BT) output feedback (OF) control scheme.

Design/methodology/approach

To begin with, a sufficient criterion is given in the form of a linear matrix inequality based on the Lyapunov stability theory. Then, a PD-BT OF controller is designed to keep all the output signs of the system are maintain within a predetermined ellipsoid. Finally, numerical and practical examples are used to demonstrate the efficiency of the approach.

Findings

Based on PD control and BT control method, an OF control strategy for the linear SMJSs with time-varying delay is proposed.

Originality/value

The output reachable set synthesis of linear SMJSs with time-varying delay can be solved by using the proposed approach. Besides, to obtain more general results, the restrictive assumptions of some parameters are removed. Furthermore, a sufficiently small ellipsoid can be obtained by the design scheme adopted in this paper, which reduces the conservatism of the existing results.

Citation

Yin, Q., Zhang, L. and Zhao, X. (2024), "Output reachable set synthesis for singular Markovian jump systems with time-varying delay: a PD bumpless transfer control scheme", Robotic Intelligence and Automation, Vol. 44 No. 1, pp. 190-200. https://doi.org/10.1108/RIA-11-2023-0166