Abstract:
This paper is devoted to the problem of nonlinear state estimation under multirate sampling in presence of disturbance inputs. Considering a general description of a nonl...Show MoreMetadata
Abstract:
This paper is devoted to the problem of nonlinear state estimation under multirate sampling in presence of disturbance inputs. Considering a general description of a nonlinear sampled-data system, we establish a prescriptive framework for multirate observer design via an approximate discrete-time model of the plant. This framework is shown to be input-to-state stable in a semiglobal practical sense with respect to the estimation error for the unknown exact discrete-time model. A numerical example of an aerospace vehicle with input and output channels of various sampling rates demonstrates how the multirate observer can drastically improve performance compared with the single-rate observer.
Published in: IEEE Transactions on Automatic Control ( Volume: 59, Issue: 9, September 2014)
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1.
G. M. Kranc, “Input-output analysis of multirate feedback systems,” IRE Trans. Autom. Control, vol. 3, no. 1, pp. 21–28, 1957.
2.
D. Glasson, “Development and applications of multirate digital control,” IEEE Control Syst. Mag., vol. 3, no. 4, pp. 2–8, 1983.
3.
T. Chen, and B. Francis, Optimal Sampled-Data Control Systems, London : Springer, 1995.
4.
T. Chen, and L. Qiu, “\$H_{\infty}\$ design of general multirate sampled-data control systems,” Automatica, vol. 30, no. 7, pp. 1139–1152, 1994.
5.
M. F. Sågfors, H. T. Toivonen, and B. Lennartson, “\$H_{\infty}\$ control of multirate sampled-data systems: A state space approach,” Automatica, vol. 34, no. 4, pp. 415–428, 1998.
6.
I. G. Polushin, and H. J. Marquez, “Multirate versions of sampled-data stabilization of nonlinear systems,” Automatica, vol. 40, no. 6, pp. 1035–1041, 2004.
7.
X. Liu, and H. J. Marquez, “Preservation of input-to-state stability under sampling and emulation: Multi-rate case,” Int. J. Control, vol. 80, no. 12, pp. 1944–1953, 2007.
8.
X. Liu, H. J. Marquez, and Y. Lin, “Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model,” Automatica, vol. 44, no. 12, pp. 3157–3161, 2008.
9.
H. Beikzadeh, and H. J. Marquez, “Dissipativity of nonlinear multirate sampled-data systems under emulation design,” Automatica, vol. 49, no. 1, pp. 308–312, 2013.
10.
A. Üstüntürk, “Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model,” Automatica, vol. 48, no. 8, pp. 1796–1802, 2012.
11.
J. H. Ahrens, T. Xiaobo, and H. K. Khalil, “Multirate sampled-data output feedback control with application to smart material actuated systems,” IEEE Trans. Autom. Control, vol. 54, no. 11, pp. 2518–2529, 2009.
12.
U. Halldorsson, M. Fikar, and H. Unbehauen, “Nonlinear predictive control with multirate optimisation step length,” IEE Proc. Control Theory Appl., vol. 152, no. 3, pp. 273–284, 2005.
13.
E. D. Sontag, and Y. Wang, “On characterizations of the input-to-state stability property,” Syst. Control Lett., vol. 24, no. 5, pp. 351–359, 1995.
14.
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, 2004.
15.
D. Nesić, and A. R. Teel, “A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models,” IEEE Trans. Autom. Control, vol. 49, no. 7, pp. 1103–1122, 2004.
16.
D. Nesić, A. R. Teel, and P. V. Kokotović, “Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations,” Syst. Control Lett., vol. 38, pp. 259–270, 1999.
17.
K. D. Do, Z. P. Jiang, and J. Pan, “On global tracking control of a VTOL aircraft without velocity measurements,” IEEE Trans. Autom. Control, vol. 48, no. 12, pp. 2212–2217, 2003.