Sliding Modes in a Class of Complex-Valued Nonlinear Systems

• 成果类型: Article
• 署名作者: Doria-Cerezo, Arnau; Olm, Josep M.; Biel, Domingo; Fossas, Enric
• 署名单位: Universitat Politecnica de Catalunya; Universitat Politecnica de Catalunya; Universitat Politecnica de Catalunya; Universitat Politecnica de Catalunya
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3021396
• 发表日期: 2021
• 页码: 3355-3362
• 关键词: Switches; MANIFOLDS; STANDARDS; control design; Nonlinear systems; Sliding mode control; Complex-valued dynamical systems; sliding modes

摘要

A number of physical systems allow a complex-valued representation. This article extends the theory of sliding modes to a class of nonlinear systems described by complex-valued variables. Hence, states, parameters, control actions, and sliding manifolds belong, in general, to the complex field. In this article, it is also shown that the proposed design in the complex-valued framework provides shorter reaching times to the sliding manifold than the standard sliding-mode design at equal initial condition and control effort. Different implementation approaches are also evaluated, and numerical examples illustrate the proposal.