Ellipsoidal Set-Based Extended Command Governor for Constrained Linear Systems With Bounded Disturbances

• 成果类型: Article
• 署名作者: Nguyen, Hoai-Nam
• 署名单位: IMT - Institut Mines-Telecom; Institut Polytechnique de Paris; Telecom SudParis
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3222751
• 发表日期: 2023
• 页码: 5699-5705
• 关键词: Electrocardiography; optimization; nonlinear dynamical systems; Symmetric matrices; manganese; Linear systems; Linear matrix inequalities; Bounded disturbance; command governor (CG); input and state constraints; invariant set; linear matrix inequality (LMI); linear system

摘要

The purposes of this paper are twofold. The first is to derive a convex formulation for optimizing the fictitious dynamics of the extended command governor strategy recently proposed in Gilbert and Ong (2011). The second purpose is to provide an efficient procedure to solve online the optimization problem of the ellipsoidal set-based command governor or the extended command governor. Two numerical examples with comparison to earlier solutions from the literature illustrate the effectiveness of the proposed algorithm.