TY - CHAP
T1 - Bumpless Transfer Control
AU - Kao, Yonggui
AU - Zhang, Panpan
AU - Wang, Changhong
AU - Xia, Hongwei
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2023.
PY - 2023
Y1 - 2023
N2 - This paper considers the sliding mode bumpless transfer control (SMBTC) problem for a class of Markovian jump discrete systems (MJDSs) with external disturbance. Here, the prescribed Markov chain is assumed to be ergodic. Accordingly, based on a unique stationary distribution in relation to ergodicity, a new BT criterion is established to help the characterization of bumpless transfer. This paper aims to construct a desiring expression of the controller such that the resultant closed-loop dynamics is stochastic stable with a prescribed bumpless transfer (BT) attenuation level. By combining the Lyapunov method and stochastic analysis theory, a couple of sufficient conditions are eventually proposed to ensure the reachability of the sliding surface and at the same time achieve the given BT performance. In the end, the usefulness of the scheme can be examined by solving the SMBTC problem and carrying out simulations.
AB - This paper considers the sliding mode bumpless transfer control (SMBTC) problem for a class of Markovian jump discrete systems (MJDSs) with external disturbance. Here, the prescribed Markov chain is assumed to be ergodic. Accordingly, based on a unique stationary distribution in relation to ergodicity, a new BT criterion is established to help the characterization of bumpless transfer. This paper aims to construct a desiring expression of the controller such that the resultant closed-loop dynamics is stochastic stable with a prescribed bumpless transfer (BT) attenuation level. By combining the Lyapunov method and stochastic analysis theory, a couple of sufficient conditions are eventually proposed to ensure the reachability of the sliding surface and at the same time achieve the given BT performance. In the end, the usefulness of the scheme can be examined by solving the SMBTC problem and carrying out simulations.
UR - https://www.scopus.com/pages/publications/85178151183
U2 - 10.1007/978-981-99-5748-4_7
DO - 10.1007/978-981-99-5748-4_7
M3 - 章节
AN - SCOPUS:85178151183
T3 - Studies in Systems, Decision and Control
SP - 133
EP - 151
BT - Studies in Systems, Decision and Control
PB - Springer Science and Business Media Deutschland GmbH
ER -