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Static Output-feedback Controller Synthesis for Positive Systems under ℓ∞ Performance
Xiaoming Chen,Mou Chen,Liqun Wang,Jun Shen,Jiapan Hu 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.11
This paper investigates the ℓ∞-induced output-feedback controller synthesis problem for discrete-time positive systems. For positive linear systems, a necessary and sufficient condition for stability and ℓ∞-induced performance is first put forward using a group of linear inequalities. Then, on the basis of these inequalities, theconditions on which static output-feedback controllers exist are set up, and to solve these conditions, a method of iterative convex optimization is provided. Moreover, a complete solution to the synthesis problem of the controller is proposed based on linear programming for positive systems with single output or input. Finally, two examples are presented to illustrate and verify the effective and applicable methods derived in this paper.
Li-Wei Li,Mou-Quan Shen,Wen Qin 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
This paper investigates the simultaneous control and fault detection of Markovian jump systems with general transition rates allowed to be unknown and known with uncertainties. By introducing slack matrices, a new approach is developed to conquer the nonlinearity induced by unknown and uncertain transition rates. Then, sufficient conditions are presented to ensure the stochastic stability of the resultant closed-loop system and meet the robust and detection performance indices. Finally, an example is given to illustrate the effectiveness of the proposed theoretical results.
Jian Zhang,Wen-Bo Xie,Mou-Quan Shen,Ling Huang 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
The control problem of T-S fuzzy system with actuator amplitude, rate and acceleration saturations isaddressed in this paper, where state augmented feedback controller with LMIs (Liner Matrix Inequalities) constraintconditions are proposed. Dynamic decoupling method is applied to fuzzify the input magnitude saturation nonlinearityinto several sub-linear systems with fuzzy rules, thus a new T-S fuzzy system with input rate and accelerationsaturations can be obtained. Then PDC (parallel distributed compensation) and NPDC (non-PDC) controller areboth designed for the new T-S fuzzy system. The first and second order derivatives of input variable are given toobtain an augmented fuzzy system. As the augmented system output variable, the input rate is represented by firstorder derivative of the input term, the rate saturation constraint is described through norm bounded method. Moreover,the polytopic approach is used to replace the second order derivative of the input term, and a state augmentedfeedback NPDC controller is designed, the domain of attraction optimization process is also given. Finally, twopractical examples are presented to show the effectiveness of proposed method.
Gut Microbiota Community and Its Assembly Associated with Age and Diet in Chinese Centenarians
( Fang Wang ),( Ting Yu ),( Guo Hong Huang ),( Da Cai ),( Xiaolin Liang ),( Hai Yan Su ),( Zhenjun Zhu ),( Danlei Li ),( Yang Yang ),( Pei Hong Shen ),( Rui Feng Mao ),( Lian Yu ),( Mou Ming Zhao ),( 한국미생물 · 생명공학회 2015 Journal of microbiology and biotechnology Vol.25 No.8
Increasing evidence suggests that gut microbiota underpin the development of health and longevity. However, our understanding of what influences the composition of this community of the longevous has not been adequately described. Therefore, illumina sequencing analysis was performed on the gut microbiota of centenarians (aged 100-108 years; RC) and younger elderlies (aged 85-99 years; RE) living in Bama County, Guangxi, China and the elderlies (aged 80-92 years; CE) living in Nanning City, Guangxi, China. In addition, their diet was monitored using a semiquantitative dietary questionary (FFQ 23). The results revealed the abundance of Roseburia and Escherichia was significantly greater, whereas that of Lactobacillus, Faecalibacterium, Parabacteroides, Butyricimonas, Coprococcus, Megamonas, Mitsuokella, Sutterella, and Akkermansia was significantly less in centenarians at the genus level. Both clustering analysis and UniFraq distance analysis showed structural segregation with age and diet among the three populations. Using partial least square discriminate analysis and redundancy analysis, we identified 33 and 34 operational taxonomic units (OTUs) as key OTUs that were significantly associated with age and diet, respectively. Age-related OTUs were characterized as Ruminococcaceae, Clostridiaceae, and Lachnospiraceae, and the former two were increased in the centenarians; diet-related OTUs were classified as Bacteroidales, Lachnospiraceae, and Ruminococcaceae. The former two were deceased, whereas the later one was increased, in the high-fiber diet. The age and high-fiber diet were concomitant with changes in the gut microbiota of centenarians, suggesting that age and high-fiber diet can establish a new structurally balanced architecture of gut microbiota that may benefit the health of centenarians.