Stability and performance analysis of a jump linear control system subject to digital upsets

doi:10.1088/1674-1056/24/4/040201

›› 2015, Vol. 24 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/24/4/040201

• GENERAL • 下一篇

Stability and performance analysis of a jump linear control system subject to digital upsets

王蕊^{a b}, 孙辉^b, 马振洋^a

a Tianjin Key Laboratory for Civil Aircraft Airworthiness and Maintenance, Civil Aviation University of China, Tianjin 300300, China;
b College of Aeronautical Automation, Civil Aviation University of China, Tianjin 300300, China

收稿日期:2014-12-10 修回日期:2015-01-08 出版日期:2015-04-05 发布日期:2015-04-05
基金资助:
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 61403395), the Natural Science Foundation of Tianjin, China (Grant No. 13JCYBJC39000), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, China, the Tianjin Key Laboratory of Civil Aircraft Airworthiness and Maintenance in Civil Aviation of China (Grant No. 104003020106), and the Fund for Scholars of Civil Aviation University of China (Grant No. 2012QD21x).

Stability and performance analysis of a jump linear control system subject to digital upsets

Wang Rui (王蕊)^{a b}, Sun Hui (孙辉)^b, Ma Zhen-Yang (马振洋)^a

a Tianjin Key Laboratory for Civil Aircraft Airworthiness and Maintenance, Civil Aviation University of China, Tianjin 300300, China;
b College of Aeronautical Automation, Civil Aviation University of China, Tianjin 300300, China

Received:2014-12-10 Revised:2015-01-08 Online:2015-04-05 Published:2015-04-05
Contact: Wang Rui E-mail:ruiwang@cauc.edu.cn
Supported by:
Project supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 61403395), the Natural Science Foundation of Tianjin, China (Grant No. 13JCYBJC39000), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, China, the Tianjin Key Laboratory of Civil Aircraft Airworthiness and Maintenance in Civil Aviation of China (Grant No. 104003020106), and the Fund for Scholars of Civil Aviation University of China (Grant No. 2012QD21x).

摘要/Abstract

摘要： This paper focuses on the methodology analysis for the stability and the corresponding tracking performance of a closed-loop digital jump linear control system with a stochastic switching signal. The method is applied to a flight control system. A distributed recoverable platform is implemented on the flight control system and subject to independent digital upsets. The upset processes are used to stimulate electromagnetic environments. Specifically, the paper presents the scenarios that the upset process is directly injected into the distributed flight control system, which is modeled by independent Markov upset processes and independent and identically distributed (IID) processes. A theoretical performance analysis and simulation modelling are both presented in detail for a more complete independent digital upset injection. The specific examples are proposed to verify the methodology of tracking performance analysis. The general analyses for different configurations are also proposed. Comparisons among different configurations are conducted to demonstrate the availability and the characteristics of the design.

关键词: stochastic process, stability and performance analysis, jump linear system, digital upsets

Abstract: This paper focuses on the methodology analysis for the stability and the corresponding tracking performance of a closed-loop digital jump linear control system with a stochastic switching signal. The method is applied to a flight control system. A distributed recoverable platform is implemented on the flight control system and subject to independent digital upsets. The upset processes are used to stimulate electromagnetic environments. Specifically, the paper presents the scenarios that the upset process is directly injected into the distributed flight control system, which is modeled by independent Markov upset processes and independent and identically distributed (IID) processes. A theoretical performance analysis and simulation modelling are both presented in detail for a more complete independent digital upset injection. The specific examples are proposed to verify the methodology of tracking performance analysis. The general analyses for different configurations are also proposed. Comparisons among different configurations are conducted to demonstrate the availability and the characteristics of the design.

Key words: stochastic process, stability and performance analysis, jump linear system, digital upsets

中图分类号: (Control theory)

02.30.Yy

02.50.Ey (Stochastic processes) 02.70.Uu (Applications of Monte Carlo methods)

王蕊, 孙辉, 马振洋. Stability and performance analysis of a jump linear control system subject to digital upsets[J]. , 2015, 24(4): 40201-040201.

Wang Rui (王蕊), Sun Hui (孙辉), Ma Zhen-Yang (马振洋). Stability and performance analysis of a jump linear control system subject to digital upsets[J]. Chin. Phys. B, 2015, 24(4): 40201-040201.

参考文献 25

[1]	Shooman M L 1994 Tech. Rep. NASA CR-194895
[2]	Belcoastro C M 1996 Proceeding of the 15th Digital Avionics Systems Conference, New York, NY, USA, 4.1-40-54
[3]	Belcoastro C M 1998 Proceeding of 1998 Am. Control Conf., Philadelphia, PA, USA, p. 353
[4]	Gray W S, González O R and Doğan M 2000 IEEE Tran. AES 36 1204
[5]	Belcoastro C M 1997 Proceeding of the 16th Digital Avionics Systems Conference, Irvine, California, USA, 4.1-40-54
[6]	Gray W S, Wang R and González O R 2008 Proceeding of 2008 IEEE Conference Control on Applications, San Antonio, Texas, USA, p. 918
[7]	Gray W S, Wang R González O R and Chávez-Fuentes J R 2010 Proceeding of 2010 IEEE American Control Conference, Baltimore, Maryland, USA, p. 548
[8]	Wang R, Gray W S and González O R 2011 Proceeding of 43rd IEEE Southeastern Symposium on System Theory, Auburn, Alabama, USA, p. 13
[9]	Wang R, Gray W S, González O R and Chávez-Fuentes J R 2013 IEEE Trans. AES 49 521
[10]	Zhang H 2006 "Performance Analysis of Recoverable Flight Control Systems Subject to Neutron-Induced Upsets Using Hybrid Dynamical Models", Ph. D. Dissertation (Old Dominion University, USA) (in English)
[11]	Zhang H, Gray W S, González O R and Lakdawala A V 2009 IEEE Trans. AES 45 321
[12]	Miner P S, Malekpour M R and Torres-Pomales W 2002 Proceeding of the 21st Digital Avionics Systems Conference, Irvine, California, USA, 13D3-1-11
[13]	Torres-Pomales M, Malekpour M R and Miner P S 2005 Tech. Rep. NASA/TM-2005-213540
[14]	Zhang H G, Fu J, Ma T D and Tong S C 2009 Chin. Phys. B 18 3325
[15]	Zhao Y L, Wu B W, Wang Y E and Han X X 2014 Acta Phys. Sin 63 170205 (in Chinese)
[16]	Costa O L V, Fragoso M D and Marques R P 2005 Discrete-time Markov Jump Linear Systems (Berlin: Springer)
[17]	Tejada A, González O R and Gray W S 2013 IEEE Trans. Autom. Control 58 3156
[18]	Guo S P, Li D X, Meng Y H and Fan C Z 2014 Chin. Phys. B 23 054502
[19]	Tang Y, Zhong H H and Fang J A 2008 Chin. Phys. B 17 4080
[20]	Cui B T, Chen J and Lou X Y 2008 Chin. Phys. B 17 1670
[21]	Torres-Pomales M, Malekpour M R and Miner P S 2005 Tech. Rep. NASA/TM-2005-213934
[22]	Patilkulkarni S 2004 "Stability Analysis of Jump-Linear Systems Driven by Finite-State Machines with Markovian Inputs", Ph. D. Dissertation (Old Dominion University, USA) (in English)
[23]	Chávez-Fuentes J R 2010 "Analysis of Jump Linear Systems Driven by Lumped Processes", Ph. D. Dissertation (Old Dominion University, USA) (in English)
[24]	Chávez-Fuentes J R, González O R and Gray W S 2008 Proceeding of AIAA Guidance, Navigation and Control Conference, Honolulu, Hawaii, USA
[25]	Wang R 2011 "The Tracking Performance of Distributed Recoverable Flight Control Systems Subject to High Intensity Radiated Fields", Ph. D. Dissertation (Old Dominion University, USA) (in English)

Stability and performance analysis of a jump linear control system subject to digital upsets

Stability and performance analysis of a jump linear control system subject to digital upsets

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 25

相关文章 13

Metrics

本文评价

推荐阅读 0

[1]	Wei-Jing Zhu(朱薇静) and Bao-Quan Ai(艾保全). Ratchet transport of self-propelled chimeras in an asymmetric periodic structure[J]. 中国物理B, 2022, 31(4): 40503-040503.
[2]	Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏). Dynamical behavior and optimal impulse control analysis of a stochastic rumor spreading model[J]. 中国物理B, 2022, 31(11): 110204-110204.
[3]	Liang-An Huo(霍良安), Ya-Fang Dong(董雅芳), and Ting-Ting Lin(林婷婷). Dynamics of a stochastic rumor propagation model incorporating media coverage and driven by Lévy noise[J]. 中国物理B, 2021, 30(8): 80201-080201.
[4]	Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏). Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters[J]. 中国物理B, 2021, 30(12): 120205-120205.
[5]	朱薇静, 黄小群, 艾保全. Transport of velocity alignment particles in random obstacles[J]. 中国物理B, 2018, 27(8): 80504-080504.
[6]	胡高歌, 高社生, 种永民, 高兵兵. Stochastic stability of the derivative unscented Kalman filter[J]. 中国物理B, 2015, 24(7): 70202-070202.
[7]	Ferhat Nutku, Ekrem Aydıner. Current and efficiency of Brownian particles under oscillating forces in entropic barriers[J]. 中国物理B, 2015, 24(4): 40501-040501.
[8]	袁若石, 马易安, 苑波, 敖平. Lyapunov function as potential function：A dynamical equivalence[J]. Chin. Phys. B, 2014, 23(1): 10505-010505.
[9]	覃英华, 罗晓曙, 韦笃取. Random-phase-induced chaos in power systems[J]. 中国物理B, 2010, 19(5): 50511-050511.
[10]	王成玉, 高云, 宋玉敏, 周鹏, 杨海. Stochastic systems with cross-correlated Gaussian white noises[J]. 中国物理B, 2010, 19(11): 116401-116801.
[11]	商朋见, 申金升. Multi-fractal analysis of highway traffic data[J]. 中国物理B, 2007, 16(2): 365-373.
[12]	黄壮雄, 王欣然, 朱涵. Pair correlations in scale-free networks[J]. 中国物理B, 2004, 13(3): 273-278.
[13]	毛晓明, 孙锴, 欧阳颀. Stochastic resonance in a financial model[J]. 中国物理B, 2002, 11(11): 1106-1110.