Bumpless Transfer Model Predictive Control for Markov Jump Linear Systems

• 成果类型: Article
• 署名作者: Wu, Tong; Zhu, Yimin; Zhang, Lixian; Shi, Peng
• 署名单位: Harbin Institute of Technology; University of Adelaide; Obuda University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3301936
• 发表日期: 2024
• 页码: 1348-1355
• 关键词: Bumpless transfer; Markov jump linear systems (MJLSs); mean-square stability (MSS); model predictive control

摘要

This study is concerned with the bumpless transfer control (BTC) for discrete-time Markov jump linear systems (MJLSs) subject to constraints on states and inputs. A new approach called bumpless transfer model predictive control (BT-MPC) is proposed, which simultaneously optimizes the stabilization performance and bumpless transfer performance in a receding horizon manner. By a scenario-based control law, the fixed-duration transition progress is generalized to the mutable-duration one, so that the BTC scheme can be applied to MJLSs. Compared with existing BTC approaches, BT-MPC avoids the requirement of predesigned controller gains or gain variations, thereby reducing the conservatism and simplifying the parameter tuning. The recursive feasibility of BT-MPC and the mean-square stability of the underlying systems are theoretically guaranteed, and a simulation example is provided to validate the developed results.