Robust H∞ control for uncertain Lur’e systems with sector and slope restricted nonlinearities by PD state feedback
作者： Chun Yin , Shou-ming Zhong , Wu-fan Chen , None
DOI: 10.1016/J.NONRWA.2010.06.035
关键词: PID controller 、 H control 、 Linear matrix 、 Nonlinear system 、 Mathematics 、 Norm (mathematics) 、 Regular polygon 、 Convex optimization 、 Control theory 、 Stability criterion
摘要: Abstract In this paper, the design of a PD controller for robust H ∞ stabilization uncertain Lur’e systems with sector and slope restricted nonlinearities is considered. A utilized to not only guarantee stability but also reduce effect external disturbance norm constraint. Sector bounds are used on Lyapunov–Krasovskii functional through convex representation nonlinear function so that less conservative criterion obtained. Using Finsler’s Lemma, derived in terms linear matrix inequalities (LMIs) can be easily solved by various optimization techniques. Several examples show effectiveness proposed methods.
elsevier.com
sci-hub.se 参考文章(29)
Hongmei Guo, Shouming Zhong, Fengyin Gao, Design of PD controller for master-slave synchronization of Lur'e systems with time-delay Applied Mathematics and Computation. ,vol. 212, pp. 86- 93 ,(2009) , 10.1016/J.AMC.2009.01.080
Ju H Park, DH Ji, SC Won, SM Lee, SJ Choi, None, H∞ control of Lur'e systems with sector and slope restricted nonlinearities Physics Letters A. ,vol. 373, pp. 3734- 3740 ,(2009) , 10.1016/J.PHYSLETA.2009.08.018
Louis M. Pecora, Thomas L. Carroll, Synchronization in chaotic systems Physical Review Letters. ,vol. 64, pp. 821- 824 ,(1990) , 10.1103/PHYSREVLETT.64.821
S.J. Choi, S.M. Lee, S.C. Won, Ju H. Park, Improved delay-dependent stability criteria for uncertain Lur’e systems with sector and slope restricted nonlinearities and time-varying delays Applied Mathematics and Computation. ,vol. 208, pp. 520- 530 ,(2009) , 10.1016/J.AMC.2008.12.026
Changchun Hua, Xinping Guan, Synchronization of chaotic systems based on PI observer design Physics Letters A. ,vol. 334, pp. 382- 389 ,(2005) , 10.1016/J.PHYSLETA.2004.11.050
Choon Ki Ahn, Sung-Tae Jung, Sun-Kyung Kang, Su-Chong Joo, Adaptive H∞ synchronization for uncertain chaotic systems with external disturbance Communications in Nonlinear Science and Numerical Simulation. ,vol. 15, pp. 2168- 2177 ,(2010) , 10.1016/J.CNSNS.2009.08.009
Jiuwen Cao, Shouming Zhong, New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities Applied Mathematics and Computation. ,vol. 194, pp. 250- 258 ,(2007) , 10.1016/J.AMC.2007.04.034
Xinzhi Liu, Stability of impulsive control systems with time delay Mathematical and Computer Modelling. ,vol. 39, pp. 511- 519 ,(2004) , 10.1016/S0895-7177(04)90522-5
Qing-Long Han, Technical communique: Absolute stability of time-delay systems with sector-bounded nonlinearity Automatica. ,vol. 41, pp. 2171- 2176 ,(2005) , 10.1016/J.AUTOMATICA.2005.08.005
Wenjun Xiong, Laizhong Song, Jinde Cao, Adaptive robust convergence of neural networks with time-varying delays Nonlinear Analysis: Real World Applications. ,vol. 9, pp. 1283- 1291 ,(2008) , 10.1016/J.NONRWA.2007.02.017