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Global asymptotic stabilisation and H∞ control for a class of nonlinear Hamiltonian singular systems with delays and saturation
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2020-03-22 , DOI: 10.1080/00207721.2020.1740823 Weiwei Sun 1 , Dongqing Liu 1 , Yaping Tang 1
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2020-03-22 , DOI: 10.1080/00207721.2020.1740823 Weiwei Sun 1 , Dongqing Liu 1 , Yaping Tang 1
Affiliation
ABSTRACT This paper studies the global asymptotical stabilisation and control problems for a class of nonlinear Hamiltonian singular systems (NHSSs) with time-varying delays as well as input saturation. The delays existing in input and output are assumed to be bounded. A global asymptotic stabilisation controller is first proposed by output feedback, and control performance is achieved for the discussed system when external disturbances are considered. Based on the structural characteristic of the NHSSs, the closed-loop system under the output feedback controller is transformed equivalently into slow subsystem and fast subsystem. Different criterions are identified to guarantee that the resulting closed-loop system is asymptotically stable and the γ-dissipative inequalities holds in the presence of disturbances, respectively. Finally, the validity of our proposed results is illustrated by a numerical example.
中文翻译:
一类具有时滞和饱和的非线性哈密顿奇异系统的全局渐近镇定和H∞控制
摘要 本文研究了一类具有时变延迟和输入饱和的非线性哈密顿奇异系统 (NHSS) 的全局渐近镇定和控制问题。假设输入和输出中存在的延迟是有界的。首先通过输出反馈提出了全局渐近稳定控制器,并在考虑外部干扰时实现了所讨论系统的控制性能。根据NHSS的结构特点,将输出反馈控制器下的闭环系统等效地转化为慢子系统和快子系统。确定了不同的标准,以保证所产生的闭环系统是渐近稳定的,并且在存在干扰的情况下,γ 耗散不等式分别成立。最后,
更新日期:2020-03-22
中文翻译:
一类具有时滞和饱和的非线性哈密顿奇异系统的全局渐近镇定和H∞控制
摘要 本文研究了一类具有时变延迟和输入饱和的非线性哈密顿奇异系统 (NHSS) 的全局渐近镇定和控制问题。假设输入和输出中存在的延迟是有界的。首先通过输出反馈提出了全局渐近稳定控制器,并在考虑外部干扰时实现了所讨论系统的控制性能。根据NHSS的结构特点,将输出反馈控制器下的闭环系统等效地转化为慢子系统和快子系统。确定了不同的标准,以保证所产生的闭环系统是渐近稳定的,并且在存在干扰的情况下,γ 耗散不等式分别成立。最后,