Stability and stabilisation of reset control systems with uncertain output matrix

作者: Guanglei Zhao , Jingcheng Wang

DOI: 10.1049/IET-CTA.2014.0007

关键词:

摘要: The stability analysis of reset control systems is challenging when time instants are uncertain, because such uncertainties may damage or even destabilise the system. This study considers with uncertain output matrix, and presents sufficient conditions for quadratic finite gain ℒ2 closed-loop systems. Then, results extended to piecewise stability, which much less conservative. design controller also discussed. All given as linear matrix inequalities by using a lemma about multi-convex function. Several examples show effectiveness obtained results.

参考文章(27)
Eun Tae Jeung, Jong Hae Kim, Hong Bae Park, H/spl infin/-output feedback controller design for linear systems with time-varying delayed state IEEE Transactions on Automatic Control. ,vol. 43, pp. 971- 974 ,(1998) , 10.1109/9.701103
J. Yu, J. Tan, H. Jiang, H. Liu, Dynamic output feedback control for Markovian jump systems with time-varying delays Iet Control Theory and Applications. ,vol. 6, pp. 803- 812 ,(2012) , 10.1049/IET-CTA.2011.0089
Luca Zaccarian, Dragan Nešić, Andrew R. Teel, Analytical and numerical Lyapunov functions for SISO linear control systems with first‐order reset elements International Journal of Robust and Nonlinear Control. ,vol. 21, pp. 1134- 1158 ,(2011) , 10.1002/RNC.1649
Alfonso Banos, Antonio Barreiro, Delay-Independent Stability of Reset Systems IEEE Transactions on Automatic Control. ,vol. 54, pp. 341- 346 ,(2009) , 10.1109/TAC.2008.2007865
Alfonso Banos, Joaquín Carrasco, Antonio Barreiro, Reset Times-Dependent Stability of Reset Control Systems IEEE Transactions on Automatic Control. ,vol. 56, pp. 217- 223 ,(2011) , 10.1109/TAC.2010.2088892
Orhan Beker, C.V. Hollot, Y. Chait, H. Han, Fundamental properties of reset control systems Automatica. ,vol. 40, pp. 905- 915 ,(2004) , 10.1016/J.AUTOMATICA.2004.01.004
Xudong Zhao, Lixian Zhang, Peng Shi, Ming Liu, Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time IEEE Transactions on Automatic Control. ,vol. 57, pp. 1809- 1815 ,(2012) , 10.1109/TAC.2011.2178629
Xudong Zhao, Shen Yin, Hongyi Li, Ben Niu, Switching Stabilization for a Class of Slowly Switched Systems IEEE Transactions on Automatic Control. ,vol. 60, pp. 221- 226 ,(2015) , 10.1109/TAC.2014.2322961
Guanglei Zhao, Dragan Nesic, Ying Tan, Jingcheng Wang, Open problems in reset control conference on decision and control. pp. 3326- 3331 ,(2013) , 10.1109/CDC.2013.6760391
Chyi-Tsong Chen, Chyi-Shen Dai, Robust controller design for a class of nonlinear uncertain chemical processes Journal of Process Control. ,vol. 11, pp. 469- 482 ,(2001) , 10.1016/S0959-1524(00)00032-9