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Finite Frequency Positive Real Control for Singularly Perturbed Systems
Yanlong Huang,Chenxiao Cai,Yun Zou 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.2
In this paper, strictly positive real control for singularly perturbed systems in (semi)finite frequency ranges is studied. For the general linear systems, necessary and sufficient conditions for the existence of a stabilizing state feedback controller are given based on the generalized KYP lemma, and use the results to study singularly perturbed systems, a composite state feedback controller is constructed, which preserves the stability and positive real property.
Weighted H∞ Control of Singularly Perturbed Switched Systems with Mode-dependent Average Dwell Time
Lei Ma,Jing Xu,Chenxiao Cai 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.10
In this paper, disturbance attenuation problem of singularly perturbed switched systems is investigated by using a mode-dependent average dwell time (MDADT) approach. By constructing a full-order piecewise Lyapunov function, which depends on the singular perturbation parameter, sufficient conditions to guarantee the exponential stability and weighed H∞ performance are obtained with different singular perturbation parameters and stability bounds of subsystems. Then, theoretical results on the analysis of stability and weighted H∞ performance are derived for a special case that all subsystems have a unified singular perturbation parameter. Thirdly, state feedback controller design methods are proposed. Finally, two examples are given to demonstrate the validity and effectiveness of the proposed methods.
Liu Junjie,Chu Chenxiao,Qin Xianzhong,Meng Weisong,Xu Xinrui,Wang Bo,Cai Feipeng 한국세라믹학회 2023 한국세라믹학회지 Vol.60 No.3
High nickel ternary cathode materials (Ni ≥ 90%) have great potential for application as power batteries in electric vehicles and have become a hot spot for research on cathode materials. However, the residual Li on the surface of the high Ni ternary cathode materials prepared by solid-phase sintering is one of the main reasons affecting their electrochemical performance. It is found that Li1 + x(Ni0.9Co0.05Mn0.05)1-xO2 with x = 0.3, which has a discharge-specific capacity of 205.74 mAh g −1 at 2.7–4.3 V, 0.1C and 184.1 mAh g −1 at 1 C, retained 89% of its initial discharge capacity after 100 cycles at 1 C. The discharge-specifi c capacity at 10 C was 153.14 mAh g −1. In addition, the Li residue of NCM90-1.03 was 17,189.959 ppm, and the total alkalinity was 4196.896 ppm. The results by X-ray diff raction (XRD) and scanning electron microscope (SEM) showed that when the Li excess was 0.3%, it was possible to obtain uniform particle size, a wider Li layer, and reduced cation mixing. Therefore, choosing the right amount of excess Li can stimulate the application prospect of NCM90 in new energy vehicles.