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一类双线性不确定时滞系统的鲁棒控制

, PP. 784-787

Keywords: 时滞,不确定,鲁棒,双线性

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Abstract:

双线性系统是最接近线性系统的一类非线性系统,时滞现象和不确定性是实际系统中最常见的现象.而对时滞系统和对不确定系统的研究一直是控制界研究的热点问题.研究了一类既有状态时滞,又有控制时滞的多时滞不确定双线性系统,通过构造Lyapunov泛函,讨论该Lyapunov泛函沿着该双线性系统的导数,给出了这类系统时滞无关鲁棒镇定的条件.利用Lyapunov和Riccati方程的解,构造了线性鲁棒状态反馈控制器.

References

[1]  Petersen I R, Hollot C V. A Riccati equation approach to the stablilization of uncertain linear systems[J]. Automatica,1986,22,397-411.
[2]  Khargonekar P P, Petersen I R, Zhou K. Robust stabilization of uncertain linear systems: Quadratic stabilizability and H∞ control theory[J]. IEEE Trans Auto Control,1990,35:356-361.
[3]  Shen J C, Chen B S, Kung F C. Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach[J]. IEEE Trans Auto Control,1991,36:638-640.
[4]  Mahmoud M S, Al-Muthairi N F. Design of robust controller for time delay systems[J]. IEEE Trans Auto Control,1994,39:995-999.
[5]  Mahmoud M S. Quadratic stabilization of continuous time systems with state delay and norm-bounded time-varying uncertainties[J]. IEEE Trans Auto Control,1994,39:2135-2139.
[6]  Phoojaruenchanachai S, Furuta K. Memoryless stabilization of uncertain linear systems including time-varying state delays[J]. IEEE Trans Auto Control,1992,37:1022-1026.
[7]  Parlakci M N A. Robust stability of uncertain time-varying state-delayed systems[J]. IEEE Proc Control Theo Appl,2006,153(4):469-477.
[8]  杨程,李树勇. 一类含时滞和扩散Lotka-Volterra竞争模型的持久性与吸引性[J]. 四川师范大学学报:自然科学版,2008,31(3):268-272.
[9]  Luo J S, van den Bosch P P J, Weiland S, et al. Design of performance robustness for uncertain linear systems with state and control delays[J]. IEEE Trans Auto Control,1998,43(11):1593-1596.
[10]  于开宣. 一类线性不确定时滞系统的鲁棒控制[J]. 四川师范大学学报:自然科学版,2010,33(4):479-482.
[11]  李杰,王汝凉,梅昆波,等. 一类不确定非线性时变时滞系统的鲁棒控制[J]. 广西师范大学学报:自然科学版,2010,27(4):21-24.
[12]  王月娥,吴保卫. 一类带有状态时滞中立系统的鲁棒H∞ 滤波器设计[J]. 重庆师范大学学报:自然科学版,2010,27(5):46-53.
[13]  Xu S, Lam L, Chen T, et al. A delay-dependent approach to robust H∞ filtering for uncertain distributed delay systems[J]. IEEE Trans Sign Process,2005,53:3764-3772.
[14]  Jiang X, Han Q. New stability criteria uncertain linear systems with interval time-varying delay[J]. Automatica,2008,44:2680-2685.
[15]  张秀华,张庆灵. 非线性微分代数系统的控制理论与应用[M]. 北京:科学出版社,2007.

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