Survey of A New Nonlinear Control Technique: An Operator-based Approach
-
摘要: 以基于演算子理论的鲁棒右互质分解 (Operator-based robust right coprime factorization, RRCF) 为基础, 提出了一种较新的非线性鲁棒控制方法.本文将简述此方法的概念、 基本理论及其应用. 具体地说, 本文首先介绍此方法的起源与基本概念; 然后,讨论此方法在系统的鲁棒稳定性、 输出跟踪与故障检测方面的设计等问题;最后,介绍此方法的实际应用从而进一步证明其有效性.Abstract: This paper introduces some concepts, theories and applications of operator-based robust right coprime factorization (RRCF) approach, which is a small new method in robust nonlinear control field. In details, the origin and basic concepts of this approach is introduced firstly. Then, the system designs on robust stability, tracking performance and fault detection using the operator-theory-based approach are discussed. Finally, the applications of this method in engineering are shown to validate its effectiveness.
-
[1] Zhang W H, Zhang H S, Chen B S. Generalized Lyapunov equation approach to state-dependent stochastic stabilization/detectability criterion. IEEE Transactions on Automatic Control, 2008, 53(7): 1630-1642 [2] Wang Y G, Chai T Y, Fu J, Sun J. Adaptive decoupling control of the forced-circulation evaporation system using neural networks and multiple models. In: Proceedings of the 2011 American Control Conference. San Francisco, USA: IEEE, 2011. 5061-5066 [3] de Figueiredo R J P, Chen G R. Nonlinear Feedback Control Systems: An Operator Theory Approach. New York: Academic Press, 1993 [4] Chen G R, Han Z Z. Robust right coprime factorization and robust stabilization of nonlinear feedback control systems. IEEE Transaction on Automatic Control, 1998, 43(10): 1505-1510 [5] Anderson B D O, James M R, Limebeer D J N. Robust stabilization of nonlinear systems via normalized coprime factor representations. Automatica, 1998, 34(12): 1593-1599 [6] Deng M C, Inoue A, Ishikawa K. Operator-based nonlinear feedback control design using robust right coprime factorization. IEEE Transactions on Automatic Control, 2006, 51(4): 645-648 [7] Bu N, Deng M C. System design for nonlinear plants using operator-based robust right coprime factorization and isomorphism. IEEE Transactions on Automatic Control, 2011, 56(4): 952-957 [8] Deng M C, Bu N. Robust control for nonlinear systems using passivity-based robust right coprime factorization. IEEE Transactions on Automatic Control, 2012, 57(10): 2599-2604 [9] Deng M C, Inoue A, Ishikawa K, Hirashima Y. Tracking of perturbed nonlinear plants using robust right coprime factorization approach. In: Proceedings of the 2004 American Control Conference. Boston, MA: IEEE, 2004. 3666-3670 [10] Deng Ming-Cong, Inoue Akira, Edahiro Kazunori. Fault detection system design for actuator of a thermal process using operator based approach. Acta Automatica Sinica, 2010, 36(4): 580-585 (邓明聪, 井上昭, 枝广和宪. 基于演算子的热过程执行机构故障诊断系统设计. 自动化学报, 2010, 36(4): 580-585) [11] Wen S J, Deng M C. Operator-based robust nonlinear control and fault detection for a Peltier actuated thermal process. Mathematical and Computer Modelling, 2013, 57(1-2): 16-29 [12] Deng M, Bi S, Inoue A. Robust non-linear control and tracking design for multi-input multi-output non-linear perturbed plants. IET Control Theory and Applications, 2009, 3(9): 1237-1248 [13] Deng M, Bi S, Wen S. Operator-based output tracking control for non-linear uncertain systems with unknown time-varying delays. IET Control Theory and Applications, 2011, 5(5): 693-699 [14] Deng M C, Inoue A. Networked non-linear control for an aluminum plate thermal process with time-delays. International Journal of Systems Science, 2008, 39(11): 1075-1080 [15] Deng M, Inoue A, Edahiro K. Fault detection in a thermal process control system with input constraints using a robust right coprime factorization approach. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2007, 221(6): 819-831 [16] Deng M C, Jiang C G, Inoue A. Operator-based robust control for nonlinear plants with uncertain non-symmetric Backlash. Asian Journal of Control, 2011, 13(2): 317-327 [17] Bi S H, Deng M C, Inoue A. Operator based robust stability and tracking performance of MIMO nonlinear systems. International Journal of Innovative Computing, Information and Control, 2009, 5(10): 3351-3358 [18] Deng M C, Bi S H. Operator-based robust nonlinear control system design for MIMO nonlinear plants with unknown coupling effects. International Journal of Control, 2010, 83(9): 1939-1946 [19] Deng M, Jiang C, Inoue A, Su C Y. Operator-based robust control for nonlinear systems with Prandtl-Ishlinskii hysteresis. International Journal of Systems Science, 2011, 42(4): 643-652 [20] Bi S H, Deng M C. Operator based robust control design for nonlinear plants with perturbation. International Journal of Control, 2011, 84(4): 815-821 [21] Deng M, Wang A. Robust non-linear control design to an ionic polymer metal composite with hysteresis using operator-based approach. IET Control Theory and Applications, 2012, 6(17): 2667-2675 [22] Bu N, Deng M. Isomorphism-based robust right coprime factorization of non-linear unstable plants with perturbations. IET Control Theory and Applications, 2010, 4(11): 2381-2390 [23] Deng M C, Bu N. Robust control for nonlinear systems with unknown perturbations using simplified robust right coprime factorisation. International Journal of Control, 2012, 85(7): 842-850 [24] Bi S H, Deng M C. Operator based robust control of MIMO aluminum plate thermal process. International Journal of Computer Applications in Technology, 2012, 44(4): 249-256 [25] Wen S J, Deng M C, Bi S H, Wang D Y. Operator-based robust nonlinear control and its realization for a multi-tank process by using a distributed control system. Transactions of the Institute of Measurement and Control, 2012, 34(7): 891-902
点击查看大图
计量
- 文章访问数: 1955
- HTML全文浏览量: 95
- PDF下载量: 1986
- 被引次数: 0