全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

带极点约束离散广义分段仿射系统的H∞保性能控制

DOI: 10.3969/j.issn.1006-7043.201307037

Keywords: 广义分段仿射系统, 二次D-稳定性, H∞保性能控制, 分段Lyapunov函数, 输出反馈

Full-Text   Cite this paper   Add to My Lib

Abstract:

针对一类具有范数有界时变参数不确定性的离散时间广义分段仿射系统和一个二次型性能指标,研究具有极点约束的H∞最优保性能输出反馈控制律的设计问题。通过采用广义分段仿射Lyapunov函数、投影定理以及几个基本引理,提出了对于二次型性能指标使参数不确定离散广义分段仿射系统具有二次D-稳定性,且满足鲁棒H∞性能指标的静态输出反馈控制器的设计方法。通过求解一组包含参变量的LMIs,可以得到保证广义分段仿射系统既容许又满足二次型性能指标的H∞输出反馈控制器增益,仿真结果证明了所提设计方法的有效性。

References

[1]  MASUBUCHI, KAMITANE Y, OHARA A. H∞ control for descriptor systems: a matrix inequalities approach[J]. Automatica, 1997, 33(4): 669-673.
[2]  De OLIVEIRA M C, GEROMEL J C. A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence[J]. Systems Control Letters, 2005, 54:1131-1134.
[3]  QIU J, FENG G, GAO H. Approaches to robust H∞ static output feedback control of discrete-time piecewise-affine systems with norm-bounded uncertainties[J]. Int J Robust Nonlinear Control, 2011, 21: 790-814.
[4]  PERES P L D, GEROMEl J C. H∞ guaranteed cost control for uncertain continuous-time linear systems[J]. Systems and Control Letters, 1993, 20: 413-418.
[5]  DAAFOUZ J, BERNUSSOU J. Poly-quadratic stability and H∞ performance for discrete systems with time varying uncertainties[C]//Proceedings of the 40th IEEE Conference on Decision and Control. Orlando, FL, USA, 2001:267-272.
[6]  GEROMEL J C, OLIVEIRA de M C, BERNUSSOU J. Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions[J]. SIAM J Control Optim, 2002, 41(3): 700-711.
[7]  LEITE V J S, PERES P L D. An improved LMI condition for robust D-stability of uncertain polytopic systems[J]. IEEE Trans Automat Control, 2003, 48 (3): 500-504.
[8]  KIM J H. Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays[J]. International Journal of Control, Automation, and Systems, 2009, 7(3): 357-364.
[9]  REN Junsheng, ZHANG Xianku. Guaranteed cost control of nonlinear singular system with time delays using T-S Fuzzy model[J]. Applied Mathematics & Information Sciences, 2013, 7(4): 1615-1622.
[10]  ZHU X L, YANG G H. Integral inequality approach to stability analysis of continuous-time systems with time-varying delay[J]. IET Control Theory, 2008, 2(6): 524-534.
[11]  DONG J, YANG G H. Robust static output feedback control for linear discrete-time systems with time-varying uncertainties[J]. Systems and Control Letters, 2008, 57(2): 123-131.
[12]  BARBOSA K A, SOUZA C E de. Robust H∞ filtering for discrete-time with uncertainty nonlinear systems using parameter-dependent Lyapunov functions[C]//Proceedings of the American Control Conference. Alaska, USA, 2002: 3224-3229.
[13]  DONG J, YANG G H. Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties[J]. IEEE Transactions on Automatic Control, 2007, 52(10): 1930-1936.
[14]  WANG Mao, WEI Yanling, QIU Jianbin. Static output feedback control of discrete-time piecewise affine singular systems[J]. Journal of Harbin Institute of Technology, 2013, 45(3): 14-21.
[15]  HSIUNG K L, LEE L. Lyapunov inequality and bounded real lemma for discrete-time descriptor systems[J]. IEEE Proc-Control Theory, 1999, 146(4): 327-331.
[16]  杜宝珠. 不确定广义系统的保性能控制[D]. 沈阳:东北大学, 2006: 37-40.DU Baozhu. Guaranteed cost control for uncertain singular systems[J]. Shenyang: Northeastern University, 2006: 37-40.
[17]  BOYD S, EL G L, FERON E, et al. Linear matrix inequality in systems and control theory [M]. SIAM: Philadelphia, PA, 1994.
[18]  RODRIGUES L, BOYD S. Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization[J]. Systems and Control Letters, 2005, 54(9): 835-853.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133