Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with...Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with a realizable (rational) transfer function thanks to the Adamjan, Arov and Krein (AAK) theorem. It is well known that the one dimensional AAK results give the best approximation of a polynomial as a rational function in the Hankel semi norm. We suppose that the Hankel matrix associated to the transfer function has a finite rank.展开更多
In this paper, the problems of the stability analysis and BIBO stabilization for the switched systems are considered. Applying a stabilizing local state feedback to each subsystem, the sufficient conditions of the asy...In this paper, the problems of the stability analysis and BIBO stabilization for the switched systems are considered. Applying a stabilizing local state feedback to each subsystem, the sufficient conditions of the asymptotically stable and BIBO stabilization for the switched systems are obtained by means of the method of Lyapunov function and the method of inequality analysis.展开更多
研究了线性扩张状态观测器(Extended state observer,ESO)的估计能力,并且分析了在线性自抗扰控制(Linearactive disturbance rejection control,LADRC)下闭环系统的稳定性.对于系统模型未知的情形,给出了线性扩张观测器估计误差有界的...研究了线性扩张状态观测器(Extended state observer,ESO)的估计能力,并且分析了在线性自抗扰控制(Linearactive disturbance rejection control,LADRC)下闭环系统的稳定性.对于系统模型未知的情形,给出了线性扩张观测器估计误差有界的证明,并通过分析得出了如下结论:在扩张状态观测器跟踪误差趋于零的前提下,在线性自抗扰控制下的闭环系统可以实现对设定信号的精确跟踪以及输入-输出有界(Bounded input and bounded output,BIBO)稳定.展开更多
文摘Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with a realizable (rational) transfer function thanks to the Adamjan, Arov and Krein (AAK) theorem. It is well known that the one dimensional AAK results give the best approximation of a polynomial as a rational function in the Hankel semi norm. We suppose that the Hankel matrix associated to the transfer function has a finite rank.
文摘In this paper, the problems of the stability analysis and BIBO stabilization for the switched systems are considered. Applying a stabilizing local state feedback to each subsystem, the sufficient conditions of the asymptotically stable and BIBO stabilization for the switched systems are obtained by means of the method of Lyapunov function and the method of inequality analysis.
文摘研究了线性扩张状态观测器(Extended state observer,ESO)的估计能力,并且分析了在线性自抗扰控制(Linearactive disturbance rejection control,LADRC)下闭环系统的稳定性.对于系统模型未知的情形,给出了线性扩张观测器估计误差有界的证明,并通过分析得出了如下结论:在扩张状态观测器跟踪误差趋于零的前提下,在线性自抗扰控制下的闭环系统可以实现对设定信号的精确跟踪以及输入-输出有界(Bounded input and bounded output,BIBO)稳定.
