IEEE/CAA Journal of Automatica Sinica
Citation: | Xinxin Fu, Yu Kang and Pengfei Li, "Sampled-data Observer Design for a Class of Stochastic Nonlinear Systems Based on the Approximate Discrete-time Models," IEEE/CAA J. Autom. Sinica, vol. 4, no. 3, pp. 507-511, July 2017. doi: 10.1109/JAS.2017.7510559 |
[1] |
E. Yaz and A. Azemi, "Observer design for discrete and continuous non-linear stochastic systems, " Int. J. Syst. Sci. , vol. 24, no. 12, pp. 2289-2302, Dec. 1993. doi: 10.1080/00207729308949629
|
[2] |
A. Barbata, M. Zasadzinski, H. Souley Ali, and H. Messaoud, "Exponential observer for a class of one-sided lipschitz stochastic nonlinear systems, " IEEE Trans. Automat. Control, vol. 60, no. 1, pp. 259-264, Jan. 2015. http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=6818378&punumber%3D9
|
[3] |
A. P. Dani, S. J. Chung, and S. Hutchinson, "Observer design for stochastic nonlinear systems via contraction-based incremental stability, " IEEE Trans. Automat. Control, vol. 60, no. 3, pp. 700-714, Mar. 2015. http://ieeexplore.ieee.org/document/6899639/
|
[4] |
B. J. Driessen, "Observer/controller with global practical stability for tracking in robots without velocity measurement, " Asian J. Control, vol. 17, no. 5, pp. 1898-1913, Sep. 2015 doi: 10.1002/asjc.1049/full?scrollTo=references
|
[5] |
B. Xian, M. S. de Queiroz, D. M. Dawson, and M. L. McIntyre, "A discontinuous output feedback controller and velocity observer for nonlinear mechanical systems, " Automatica, vol. 40, no. 4, pp. 695-700, Apr. 2004. http://www.sciencedirect.com/science/article/pii/S0005109803003960
|
[6] |
G. Ellis, Observers in Control Systems:A Practical Guide. Boston, USA:Academic Press, 2002.
|
[7] |
M. Arcak and D. Nesić, "A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation, " Automatica, vol. 40, no. 11, pp. 1931-1938, Nov. 2004. http://www.sciencedirect.com/science/article/pii/S000510980400175X
|
[8] |
H. Y. Jin, B. Q. Yin, Q. Ling, and Y. Kang, "Sampled-data observer design for nonlinear autonomous systems, " in Proc. Chinese Control and Decision Conf. . Guilin, China, 2009, pp. 1516-1520. http://dl.acm.org/citation.cfm?id=2258202
|
[9] |
H. Katayama and H. Aoki, "Straight-line trajectory tracking control for sampled-data underactuated ships, " IEEE Trans. Control Syst. Technol. , vol. 22, no. 4, pp. 1638-1645, Jul. 2014. http://netra.math.ttu.edu/ip/pbs/p_mot_bio.html
|
[10] |
H. Beikzadeh and H. J. Marquez, "Multirate observers for nonlinear sampled-data systems using input-to-state stability and discretetime approximation, " IEEE Trans. Automat. Control, vol. 59, no. 9, pp. 2469-2474, Sep. 2014. http://ieeexplore.ieee.org/document/6730927/
|
[11] |
D. Nesic and D. S. Laila, "A note on input-to-state stabilization for nonlinear sampled-data systems, " IEEE Trans. Automat. Control, vol. 47, no. 7, pp. 1153-1158, Jul. 2002. http://ieeexplore.ieee.org/document/1017562/
|
[12] |
L. Grüne and D. Nesic, "Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models, " SIAM J. Control Optimiz., vol. 42, no. 1, pp. 98-122, 2003. doi: 10.1137/S036301290240258X
|
[13] |
É. Gyurkovics and A. M. Elaiw, "Stabilization of sampled-data non-linear systems by receding horizon control via discrete-time approximations, " Automatica, vol. 40, no. 12, pp. 2017-2028, Dec. 2004. https://www.semanticscholar.org/paper/Stabilization-of-sampled-data-nonlinear-systems-by-Gyurkovics-Elaiw/0f04d91b9618bc84a1cb87146b610e79a7e4630b/figure/29
|
[14] |
D. Nesić and L. Grüne, "A receding horizon control approach to sampled-data implementation of continuous-time controllers, " Syst. Control Lett. , vol. 55, no. 8, pp. 660-672, Aug. 2006. http://www.sciencedirect.com/science/article/pii/S0167691106000399
|
[15] |
O. Techakesari, J. J. Ford, and D. Nesić, "Practical stability of approximating discrete-time filters with respect to model mismatch, " Automatica, vol. 48, no. 11, pp. 2965-2970, Nov. 2012.
|
[16] |
D. J. Higham, X. R. Mao, and A. M. Stuart, "Exponential mean-square stability of numerical solutions to stochastic differential equations, " LMS J. Comput. Math. , vol. 6, pp. 297-313, Jan. 2003. https://wenku.baidu.com/view/89f98bd7360cba1aa811da8e.html
|
[17] |
D. J. Higham, "An algorithmic introduction to numerical simulation of stochastic differential equations, " SIAM Rev. , vol. 43, no. 3, pp. 525-546, Sep. 2001. doi: 10.1137/S0036144500378302
|
[18] |
X. R. Mao, "Numerical solutions of stochastic functional differential equations, " LMS J. Comput. Math. , vol. 6, pp. 141-161, Jan. 2003. http://www.sciencedirect.com/science/article/pii/S0377042702007501
|
[19] |
X. R. Mao, "Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations, " J. Comput. Appl. Math. , vol. 200, no. 1, pp. 297-316, Mar. 2007. http://www.sciencedirect.com/science/article/pii/S0377042706000173
|
[20] |
X. R. Mao, "Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations, " J. Comput. Appl. Math. , vol. 296, pp. 362-375, Apr. 2016. http://www.sciencedirect.com/science/article/pii/S0377042715004884
|
[21] |
X. R. Mao, C. G. Yuan, and G. Yin, "Approximations of EulerMaruyama type for stochastic differential equations with Markovian switching, under non-Lipschitz conditions, " J. Comput. Appl. Math. , vol. 205, no. 2, pp. 936-948, Aug. 2007. http://www.sciencedirect.com/science/article/pii/S0377042706004146
|
[22] |
X. R. Mao and L. Szpruch, "Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients, " Stochastics, vol. 85, no. 1, pp. 144-171, Feb. 2013. doi: 10.1080/17442508.2011.651213
|
[23] |
M. Milošević, "Almost sure exponential stability of solutions to highly nonlinear neutral stochastic differential equations with time-dependent delay and the Euler-Maruyama approximation, " Math. Comp. Modell. , vol. 57, no. 3-4, pp. 887-899, Feb. 2013. http://www.sciencedirect.com/science/article/pii/S0895717712002555
|
[24] |
H. L. Ngo and D. Taguchi, "Strong convergence for the EulerMaruyama approximation of stochastic differential equations with discontinuous coefficients, " Mathematics, 2016. https://www.researchgate.net/publication/301880520_Strong_convergence_for_the_Euler-Maruyama_approximation_of_stochastic_differential_equations_with_discontinuous_coefficients
|
[25] |
Z. J. Wu, M. Y. Cui, and P. Shi, "Backstepping control in vector form for stochastic Hamiltonian systems, " SIAM J. Control Optimiz. , vol. 50, no. 2, pp. 925-942, Apr. 2012. doi: 10.1137/100817905
|
[26] |
H. Zhang, Y. Q. Xia, and Z. J. Wu, "Noise-to-state stability of random switched systems and its applications, " IEEE Trans. Automat. Control, vol. 61, no. 6, pp. 1607-1612, Jun. 2016. https://www.semanticscholar.org/paper/Noise-to-State-Stability-of-Random-Switched-Zhang-Xia/616d8ae45464e96e36ab19febfb378a881bc6c1d
|
[27] |
S. M. Yang and S. J. Ke, "Performance evaluation of a velocity observer for accurate velocity estimation of servo motor drives, " IEEE Trans. Ind. Appl. , vol. 36, no. 1, pp. 98-104, Jan. -Feb. 2000. http://www.doc88.com/p-738474686733.html
|
[28] |
W. S. Chen and X. B. Li, "Observer-based consensus of second-order multi-agent system with fixed and stochastically switching topology via sampled data, " Int. J. Robust Nonlinear Control, vol. 24, no. 3, pp. 567-584, Feb. 2014. doi: 10.1002/rnc.2906/abstract
|
[29] |
Y. L. Cheng and D. M. Xie, "Distributed observer design for bounded tracking control of leader-follower multi-agent systems in a sampleddata setting, " Int. J. Control, vol. 87, no. 1, pp. 41-51, Jan. 2014. doi: 10.1080/00207179.2013.820353
|
[30] |
L. Xie and P. P. Khargonekar, "Lyapunov-based adaptive state estimation for a class of nonlinear stochastic systems, " Automatica, vol. 48, no. 7, pp. 1423-1431, Jul. 2012.
|
[31] |
H. C. Yan, Z. Z. Su, H. Zhang, and F. W. Yang, "Observer-based H∞ control for discrete-time stochastic systems with quantisation and random communication delays, " IET Control Theory Appl. , vol. 7, no. 3, pp. 372-379, Feb. 2013.
|