A larger family of nonlinear systems for the repetitive learning control

作者: Cristiano Maria Verrelli

DOI: 10.1016/J.AUTOMATICA.2016.04.021

关键词: Compact spacePID controllerMathematicsMinimum phaseClass (set theory)Degree (graph theory)Control theoryGeneralizationInverse systemNonlinear system

摘要: A generalization of the PID ź - 1 control has been recently presented in Marino etźal. (2012), which guarantees output tracking smooth periodic reference signals (with known period) for uncertain minimum phase nonlinear systems feedback form with any relative degree . In this note, we show that repetitive learning proposed (2012) also solves same problem a larger class normal form, provided inverse system dynamics satisfy Demidovich condition on suitable compact sets.

参考文章(15)
Luca Consolini, Cristiano Maria Verrelli, Learning control in spatial coordinates for the path-following of autonomous vehicles Automatica. ,vol. 50, pp. 1867- 1874 ,(2014) , 10.1016/J.AUTOMATICA.2014.05.002
S. Bifaretti, P. Tomei, C.M. Verrelli, Establishing improved convergence and robustness properties for the repetitive learning control Applied Mathematics and Computation. ,vol. 218, pp. 11311- 11322 ,(2012) , 10.1016/J.AMC.2012.05.025
Andrew Teel, Laurent Praly, Tools for Semiglobal Stabilization by Partial State and Output Feedback Siam Journal on Control and Optimization. ,vol. 33, pp. 1443- 1488 ,(1995) , 10.1137/S0363012992241430
Z. -P. Jiang, A. R. Teel, L. Praly, Small-gain theorem for ISS systems and applications Mathematics of Control, Signals, and Systems. ,vol. 7, pp. 95- 120 ,(1994) , 10.1007/BF01211469
R. Marino, P. Tomei, C.M. Verrelli, Learning control for nonlinear systems in output feedback form Systems & Control Letters. ,vol. 61, pp. 1242- 1247 ,(2012) , 10.1016/J.SYSCONLE.2012.07.011