Power Control in Multiple Coexisting Wireless Networks:L_1 and L_∞ Gain based Stability Analysis
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- 英文论文题名：Power Control in Multiple Coexisting Wireless Networks:L_1 and L_∞ Gain based Stability Analysis
- 论文作者：Rongrong Qian ; Zhisheng Duan ; Yuan Qi
- 英文论文作者：Rongrong Qian ; Zhisheng Duan ; Yuan Qi ; Beijing Univ. of Posts and Telecommunications (BUPT) ; State Key Laboratory for Turbulence and Complex Systems ; Department of Mechanics and Aerospace Engineering ; College of Engineering ; Peking University
- 年：2017
- 作者机构：Beijing Univ. of Posts and Telecommunications (BUPT);State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Aerospace Engineering,College of Engineering,Peking University;
- 英文论文关键词：stability analysis ; robust control theory ; power control ; wireless network ; feedback system
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：TN92
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：372k
- 原文格式：D
- 会议级别：全国
摘要
This paper presents the extensions of the bounded-input bounded-output(BIBO) stability analysis of the power control in multiple coexisting wireless networks from L_2 gain to both L_1 and L_∞ gains. By making use of the linear positive system theory, this study derives the sufficient conditions of BIBO stability for the considered power control, which can examine by nature whether the power control of interest is BIBO stable in the sense of the L_1 and L_∞ gains, and have the closed-form and explicit expressions such that they can be conveniently used in practice. Besides, this paper provides a numerical example to illustrate the theoretical results.
This paper presents the extensions of the bounded-input bounded-output(BIBO) stability analysis of the power control in multiple coexisting wireless networks from L_2 gain to both L_1 and L_∞ gains. By making use of the linear positive system theory, this study derives the sufficient conditions of BIBO stability for the considered power control, which can examine by nature whether the power control of interest is BIBO stable in the sense of the L_1 and L_∞ gains, and have the closed-form and explicit expressions such that they can be conveniently used in practice. Besides, this paper provides a numerical example to illustrate the theoretical results.
This paper presents the extensions of the bounded-input bounded-output(BIBO) stability analysis of the power control in multiple coexisting wireless networks from L_2 gain to both L_1 and L_∞ gains. By making use of the linear positive system theory, this study derives the sufficient conditions of BIBO stability for the considered power control, which can examine by nature whether the power control of interest is BIBO stable in the sense of the L_1 and L_∞ gains, and have the closed-form and explicit expressions such that they can be conveniently used in practice. Besides, this paper provides a numerical example to illustrate the theoretical results.
引文
[1]R.D.Yates,“A framework for uplink power control in cellular radio systems,”IEEE Journal on Selected Areas in Communications,vol.49,no.7,pp.1341-1347,Sep 1995.
[2]M.Xiao,N.Shroff,and E.Chong,“A utility-based powercontrol scheme in wireless cellular systems,”IEEE J.Sel.Areas Commun.,vol.11,no.2,pp.210-221,2003.
[3]G.J.Foschini and Z.Miljanic,“A simple distributed autonomous power control algorithm and its convergence,”IEEETrans.Vehic.Technol.,vol.42,pp.641-646,1993.
[4]H.Feyzmahdavian,M.Johansson,and T.Charalambous,“Contractive interference functions and rates of convergence of distributed power control laws,”IEEE Trans.Wireless Commun.,vol.11,no.12,pp.4494-4502,Dec.2012.
[5]H.Feyzmahdavian,T.Charalambous,and M.Johansson,“Stability and performance of continuous-time power control in wireless networks,”IEEE Trans.Automat.Contr.,vol.59,no.8,pp.2012-2023,Aug.2014.
[6]I.Lestas,“Power control in wireless networks:stability and delay Independence for a general class of distributed algorithms,”IEEE Trans.Automat.Contr.,vol.57,no.5,pp.1253-1258,May 2012.
[7]E.Devane and I.Lestas,“Stability of a general class of distributed algorithms for power control in time-varying wireless networks,”IEEE Trans.Automat.Contr.,vol.59,no.8,pp.1999-2011,Aug.2014.
[8]F.D.S.Chaves,M.Abbas-Turki et al.,“Transmission power control for opportunistic Qo S provision in wireless networks,”IEEE Trans.Control Syst.Technol.,vol.21,no.2,pp.315-331,Mar.2013.
[9]A.Moller and U.T.Jonsson,“Input-output analysis of power control in wireless networks,”IEEE Trans.Automat.Contr.,vol.58,no.4,pp.834-846,2013.
[10]M.Colombino and R.S.Smith,“A convex characterization of robust stability for positive and positively dominated linear systems,”IEEE Trans.Automat.Contr.,vol.61,no.7,pp.1965-1971,2016.
[11]X.Fan,T.Alpcan,M.Arcak,T.J.Wen,and T.Basar,“Apassivity approach to game-theoretic CDMA power contro,”Automatica,vol.4,no.11,pp.1837-1847,2006.
[12]C.W.Sung and K.K.Leung,“A generalized framework for distributed power control in wireless networks,”IEEE Trans.Inf.Theory,vol.51,no.7,pp.2625-2635,Jul.2005.
[13]A.Ghosh,N.Mangalvedhe et al.,“Heterogeneous cellular networks:From theory to practice,”IEEE Commun.Mag.,vol.50,no.6,pp.54-64,Jun.2012.
[14]S.Haykin,“Cognitive radio:Brain-empowered wireless communications,”IEEE J.Sel.Areas Commun.,vol.23,no.2,pp.201-220,Feb.2005.
[15]R.Qian,Z.Duan,and Y.Qi,“Stability of Power Control in Multiple Coexisting Wireless Networks:An L2 Small-Gain Perspective,”IEEE Trans.on Circuits and Systems I:Regular Papers,vol.PP,no.99,pp.1-12,Dec.2016.
[16]Y.Huang and K.Zhou,“Robust stability of uncertain timedelay systems,”IEEE Trans.Automat.Contr.,vol.45,no.11,pp.2169-2173,2000.
[17]C.Kao and A.Rantzer,“Stability analysis of systems with uncertain time-varying delays,”Automatica,vol.43,no.6,pp.959-970,2007.
[18]A.Packard and J.Doyle,“The complex structured singular value,”Automatica,vol.29,no.1,pp.71-109,1993.
[19]C.Briat,Linear parameter-varying and time-delay systems:Analysis,observation,filtering&control,ser.Advances on Delays and Dynamics.Heidelberg,Germany:Springer-Verlag,vol.3,2015.
[20]C.Briat,“Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L1-and L∞-gains characterizations,”International Journal of Robust and Nonlinear Control,vol.23,no.17,pp.1932-1954,2013.
[21]P.D.Leenheer and D.Aeyels,“Stabilization of positive linear systems,”Systems&Control Letters,vol.44,no.4,pp.259-271,2001.
[22]J.Zhu and J.Chen,“Stability of systems with time-varying delays:An L1 small-gain perspective,”Automatica,vol.52,pp.260-265,2015.
[23]B.S.Ruffer,C.M.Kellett,and S.R.Weller,“Connection between cooperative positive systems and integral input-to-state stability of large-scale systems,”Automatica,vol.46,no.6,pp.1019-1027,2010.
[24]L.Farina and S.Rinaldi,Positive linear systems:theory and applications.John Wiley&Son.2000.
[25]K.Zhou,Essentials of robust control.Prentice Hall,1999.
[2]M.Xiao,N.Shroff,and E.Chong,“A utility-based powercontrol scheme in wireless cellular systems,”IEEE J.Sel.Areas Commun.,vol.11,no.2,pp.210-221,2003.
[3]G.J.Foschini and Z.Miljanic,“A simple distributed autonomous power control algorithm and its convergence,”IEEETrans.Vehic.Technol.,vol.42,pp.641-646,1993.
[4]H.Feyzmahdavian,M.Johansson,and T.Charalambous,“Contractive interference functions and rates of convergence of distributed power control laws,”IEEE Trans.Wireless Commun.,vol.11,no.12,pp.4494-4502,Dec.2012.
[5]H.Feyzmahdavian,T.Charalambous,and M.Johansson,“Stability and performance of continuous-time power control in wireless networks,”IEEE Trans.Automat.Contr.,vol.59,no.8,pp.2012-2023,Aug.2014.
[6]I.Lestas,“Power control in wireless networks:stability and delay Independence for a general class of distributed algorithms,”IEEE Trans.Automat.Contr.,vol.57,no.5,pp.1253-1258,May 2012.
[7]E.Devane and I.Lestas,“Stability of a general class of distributed algorithms for power control in time-varying wireless networks,”IEEE Trans.Automat.Contr.,vol.59,no.8,pp.1999-2011,Aug.2014.
[8]F.D.S.Chaves,M.Abbas-Turki et al.,“Transmission power control for opportunistic Qo S provision in wireless networks,”IEEE Trans.Control Syst.Technol.,vol.21,no.2,pp.315-331,Mar.2013.
[9]A.Moller and U.T.Jonsson,“Input-output analysis of power control in wireless networks,”IEEE Trans.Automat.Contr.,vol.58,no.4,pp.834-846,2013.
[10]M.Colombino and R.S.Smith,“A convex characterization of robust stability for positive and positively dominated linear systems,”IEEE Trans.Automat.Contr.,vol.61,no.7,pp.1965-1971,2016.
[11]X.Fan,T.Alpcan,M.Arcak,T.J.Wen,and T.Basar,“Apassivity approach to game-theoretic CDMA power contro,”Automatica,vol.4,no.11,pp.1837-1847,2006.
[12]C.W.Sung and K.K.Leung,“A generalized framework for distributed power control in wireless networks,”IEEE Trans.Inf.Theory,vol.51,no.7,pp.2625-2635,Jul.2005.
[13]A.Ghosh,N.Mangalvedhe et al.,“Heterogeneous cellular networks:From theory to practice,”IEEE Commun.Mag.,vol.50,no.6,pp.54-64,Jun.2012.
[14]S.Haykin,“Cognitive radio:Brain-empowered wireless communications,”IEEE J.Sel.Areas Commun.,vol.23,no.2,pp.201-220,Feb.2005.
[15]R.Qian,Z.Duan,and Y.Qi,“Stability of Power Control in Multiple Coexisting Wireless Networks:An L2 Small-Gain Perspective,”IEEE Trans.on Circuits and Systems I:Regular Papers,vol.PP,no.99,pp.1-12,Dec.2016.
[16]Y.Huang and K.Zhou,“Robust stability of uncertain timedelay systems,”IEEE Trans.Automat.Contr.,vol.45,no.11,pp.2169-2173,2000.
[17]C.Kao and A.Rantzer,“Stability analysis of systems with uncertain time-varying delays,”Automatica,vol.43,no.6,pp.959-970,2007.
[18]A.Packard and J.Doyle,“The complex structured singular value,”Automatica,vol.29,no.1,pp.71-109,1993.
[19]C.Briat,Linear parameter-varying and time-delay systems:Analysis,observation,filtering&control,ser.Advances on Delays and Dynamics.Heidelberg,Germany:Springer-Verlag,vol.3,2015.
[20]C.Briat,“Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L1-and L∞-gains characterizations,”International Journal of Robust and Nonlinear Control,vol.23,no.17,pp.1932-1954,2013.
[21]P.D.Leenheer and D.Aeyels,“Stabilization of positive linear systems,”Systems&Control Letters,vol.44,no.4,pp.259-271,2001.
[22]J.Zhu and J.Chen,“Stability of systems with time-varying delays:An L1 small-gain perspective,”Automatica,vol.52,pp.260-265,2015.
[23]B.S.Ruffer,C.M.Kellett,and S.R.Weller,“Connection between cooperative positive systems and integral input-to-state stability of large-scale systems,”Automatica,vol.46,no.6,pp.1019-1027,2010.
[24]L.Farina and S.Rinaldi,Positive linear systems:theory and applications.John Wiley&Son.2000.
[25]K.Zhou,Essentials of robust control.Prentice Hall,1999.