IEEE/CAA Journal of Automatica Sinica
Citation: | Adedapo Odekunle, Weinan Gao and Yebin Wang, "Data-Driven Global Robust Optimal Output Regulation of Uncertain Partially Linear Systems," IEEE/CAA J. Autom. Sinica, vol. 6, no. 5, pp. 1108-1115, Sept. 2019. doi: 10.1109/JAS.2019.1911678 |
[1] |
B. Francis, " The linear multivariable regulator problem,” SIAM Journal on Control and Optimization, vol. 15, no. 3, pp. 486–505, 1977. doi: 10.1137/0315033
|
[2] |
A. Isidori and C. I. Byrnes, " Output regulation of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 35, no. 2, pp. 131–140, Feb. 1990. doi: 10.1109/9.45168
|
[3] |
J. Huang and W. J. Rugh, " On a nonlinear multivariable servomechanism problem,” Automatica, vol. 26, no. 6, pp. 963–972, 1990. doi: 10.1016/0005-1098(90)90081-R
|
[4] |
C. I. Byrnes, F. D. Priscoli, A. Isidori, and W. Kang, " Structurally stable output regulation of nonlinear systems,” Automatica, vol. 33, no. 3, pp. 369–385, 1997. doi: 10.1016/S0005-1098(96)00184-7
|
[5] |
A. Serrani, A. Isidori, and L. Marconi, " Semiglobal nonlinear output regulation with adaptive internal model,” IEEE Transactions on Automatic Control, vol. 46, no. 8, pp. 1178–1194, 2001. doi: 10.1109/9.940923
|
[6] |
J. Huang, Nonlinear Output Regulation: Theory and Applications. Philadelphia, PA: SIAM, 2004.
|
[7] |
F. A. Yaghmaie, K. H. Movric, F. L. Lewis, R. Su, and M. Sebek, " H∞ output regulation of linear heterogeneous multiagent systems over switching graphs,” Interational Journal of Robust and Nonlinear Control, vol. 28, pp. 3852–3870, 2018. doi: 10.1002/rnc.v28.13
|
[8] |
T. Başar and P. Bernhard, H∞ optimal control and related minimax design problems: a dynamic game approach. Springer Science & Business Media, 2008.
|
[9] |
T. Liu, D. J. Hill, and Z. P. Jiang, " Lyapunov formulation of ISS cyclicsmall-gain in continuous-time dynamical networks,” Automatica, vol. 47, no. 9, pp. 2088–2093, 2011. doi: 10.1016/j.automatica.2011.06.018
|
[10] |
T. Liu and Z. Jiang, " A small-gain approach to robust event-triggered control of nonlinear systems,” IEEE Transactions on Automatic Control, vol. 60, no. 8, pp. 2072–2085, 2015. doi: 10.1109/TAC.2015.2396645
|
[11] |
J. Huang and Z. Chen, " A general framework for tackling the output regulation problem,” IEEE Transactions on Automatic Control, vol. 49, no. 12, pp. 2203–2218, 2004. doi: 10.1109/TAC.2004.839236
|
[12] |
F. L. Lewis and D. Vrabie, " Reinforcement learning and adaptive dynamic programming for feedback control,” IEEE Circuits and Systems Magazine, vol. 9, no. 3, pp. 32–50, 2009. doi: 10.1109/MCAS.2009.933854
|
[13] |
Y. Jiang and Z. P. Jiang, " Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics,” Automatica, vol. 48, no. 10, pp. 2699–2704, 2012. doi: 10.1016/j.automatica.2012.06.096
|
[14] |
W. Gao, Y. Jiang, Z. P. Jiang, and T. Chai, " Adaptive and optimal output feedback control of linear systems: an adaptive dynamic programming approach,” in Proc. of the 11th World Congr. on Intelligent Control and Automation, Shenyang, China, 2014, pp. 2085–2090.
|
[15] |
W. Gao, Z. P. Jiang, and K. Ozbay, " Adaptive optimal control of connected vehicles,” in Proc. of the 10th Int. Workshop on Robot Motion and Control, Poznan, Poland, 2015, pp. 288–293.
|
[16] |
W. Gao and Z. P. Jiang, " Global optimal output regulation of partially linear systems via robust adaptive dynamic programming,” in Proc. 1st Conf. on Modelling. Identification and Control of Nonlinear Systems, vol. 48, no. 11, Saint-Petersburg, Russia, 2015, pp. 742–747.
|
[17] |
B. Sun, M. He, Y. Wang, W. Gui, C. Yang, and Q. Zhu, " A data-driven optimal control approach for solution purification process,” Journal of Process Control, vol. 68, pp. 171–185, 2018. doi: 10.1016/j.jprocont.2018.06.005
|
[18] |
Y. Jiang and Z. P. Jiang, " Robust adaptive dynamic programming and feedback stabilization of nonlinear systems,” IEEE Transactions on Neural Networks and Learning Systems, vol. 25, no. 5, pp. 882–893, 2014. doi: 10.1109/TNNLS.2013.2294968
|
[19] |
W. Gao and Z. P. Jiang, " Linear optimal tracking control: an adaptive dynamic programming approach,” in Proc. of the American Control Conf., Chicago, IL, 2015, pp. 4929–4934.
|
[20] |
A. J. Krener, " The construction of optimal linear and nonlinear regulators,” in Systems, Models and Feedback: Theory and Applications, A. Isidori and T. J. Tarn, Eds. Birkhauser Boston, 1992, vol. 12, pp. 301–322.
|
[21] |
W. Gao and Z. P. Jiang, " Adaptive dynamic programming and adaptive optimal output regulation of linear systems,” IEEE Transactions on Automatic Control, vol. 61, no. 12, pp. 4164–4169, 2016. doi: 10.1109/TAC.2016.2548662
|
[22] |
H. Modares, F. L. Lewis, and Z. Jiang, " H∞ tracking control of completely unknown continuous-time systems via off-policy reinforcement learning,” IEEE Transactions on Neural Networks and Learning Systems, vol. 26, no. 10, pp. 2550–2562, 2015. doi: 10.1109/TNNLS.2015.2441749
|
[23] |
A. Saberi, P. Kokotovic, and S. Summers, " Global stabilization of partially linear composite systems,” SIAM Journal of Control and Optimization, vol. 2, no. 6, pp. 1491–1503, 1990.
|
[24] |
Z. P. Jiang, A. R. Teel, and L. Praly, " Small-Gain theorem for ISS systems and applications,” Mathematics of Control,Signals and Systems, vol. 7, no. 2, pp. 95–120, 1994. doi: 10.1007/BF01211469
|
[25] |
E. D. Sontag, " Input to state stability: basic concepts and results,” in Nonlinear and Optimal Control Theory, P. Nistri and G. Stefani, Eds. Berlin: Springer-Verlag, 2007, pp. 163–220.
|
[26] |
E. D. Sontag, " Smooth stabilization implies coprime factorization,” IEEE Transactions on Automatic Control, vol. 34, no. 4, pp. 435–443, 1989. doi: 10.1109/9.28018
|