Observer-based gain-scheduled H ∞ control for LPV systems with time-varying state delay

作者: Junling Wang , Wei Yuan

DOI: 10.1109/ICMA.2008.4798813

关键词:

摘要: This paper addresses the problem of observer-based gain-scheduled Hinfin control for a class linear parameter-varying systems with time-varying delays in state. A new delay-dependent and parameter-dependent performance criterion is developed Lyapunov approach. Sufficient conditions are presented to design controllers state observers guarantee that resulting closed-loop system asymptotically stable prescribed level terms parameterized matrix inequalities. numerical example given show effectiveness proposed techniques.

参考文章(13)
P. Apkarian, P. Gahinet, A convex characterization of gain-scheduled H/sub /spl infin// controllers IEEE Transactions on Automatic Control. ,vol. 40, pp. 853- 864 ,(1995) , 10.1109/9.384219
Bao Tong Cui, Mingang Hua, RETRACTED: Observer-based passive control of linear time-delay systems with parametric uncertainty Chaos, Solitons & Fractals. ,vol. 32, pp. 160- 167 ,(2007) , 10.1016/J.CHAOS.2005.10.089
P. Apkarian, R.J. Adams, Advanced gain-scheduling techniques for uncertain systems IEEE Transactions on Control Systems and Technology. ,vol. 6, pp. 21- 32 ,(1998) , 10.1109/87.654874
Fen Wu, Karolos M. Grigoriadis, Brief LPV Systems with parameter-varying time delays: analysis and control Automatica. ,vol. 37, pp. 221- 229 ,(2001) , 10.1016/S0005-1098(00)00156-4
Huijun Gao, Peng Shi, Junling Wang, Parameter-dependent robust stability of uncertain time-delay systems Journal of Computational and Applied Mathematics. ,vol. 206, pp. 366- 373 ,(2007) , 10.1016/J.CAM.2006.07.027
Xiping Zhang, Panagiotis Tsiotras, Carl Knospe, Stability analysis of LPV time-delayed systems International Journal of Control. ,vol. 75, pp. 538- 558 ,(2002) , 10.1080/00207170210123833
J. Wang, J. Wang, H. Gao, P. Shi, Gain-scheduled stabilisation of linear parameter-varying systems with time-varying input delay Iet Control Theory and Applications. ,vol. 1, pp. 1276- 1285 ,(2007) , 10.1049/IET-CTA:20060463
Shengyuan Xu, J. Lam, Improved delay-dependent stability criteria for time-delay systems IEEE Transactions on Automatic Control. ,vol. 50, pp. 384- 387 ,(2005) , 10.1109/TAC.2005.843873
Ju H. Park, On the design of observer-based controller of linear neutral delay-differential systems Applied Mathematics and Computation. ,vol. 150, pp. 195- 202 ,(2004) , 10.1016/S0096-3003(03)00209-1
Yong He, Min Wu, Jin-Hua She, Guo-Ping Liu, Parameter-Dependent Lyapunov Functional for Stability of Time-Delay Systems With Polytopic-Type Uncertainties IEEE Transactions on Automatic Control. ,vol. 49, pp. 828- 832 ,(2004) , 10.1109/TAC.2004.828317