Transcale control for a class of discrete stochastic systems based on wavelet packet decomposition

Information Sciences

Volumn 296, Issue 1, 2015, Pages 25-41

  Zhao, Lin ^a   Jia, Yingmin ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

LQG control; Multiscale system; Tracking control; Transcale control; Wavelet packet decomposition

Indexed keywords

ALGORITHMS; COMPUTATIONAL EFFICIENCY; NAVIGATION; REAL TIME SYSTEMS; STATE SPACE METHODS; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; WAVELET ANALYSIS; WAVELET DECOMPOSITION; WAVELET TRANSFORMS;

DISCRETE STOCHASTIC SYSTEMS; LQG CONTROL; MULTI-SCALE SYSTEM; TRACKING CONTROL ALGORITHMS; TRACKING CONTROLS; WAVELET PACKET COEFFICIENT; WAVELET PACKET DECOMPOSITION; WAVELET PACKET DECOMPOSITIONS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 84922700546     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2014.10.039     Document Type: Article

References (45)

1. B.D.O. Anderson, J.B. Moore, Optimal Control: Linear Quadratic Methods, Prentice-Hall, Englewood Cliffs, NJ, 1990.
2. M. Athans, The role and use of the stochastic linear-quadratic-Gaussian problem in control system design, IEEE Trans. Autom. Control AC-16 (1971) 529-552.
3. A.N. Akansu, R.A. Haddad, Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets, Academic Press, Boston, MA, 1992.
4. C. Bruni, D. Iacoviello, Some results about the optimal LQG tracking problem, Int. J. Control 74 (1999) 977-987.
5. M. Basseville, A. Benveniste, K. Chou, S. Golden, R. Nikoukhah, A.S. Willsky, Modeling and estimation of multiresolution stochastic processes, IEEE Trans. Inf. Theory 38 (1992) 766-784.
6. G. Bhatnagar, Q.M. Jonathan Wu, Ba. Raman, Discrete fractional wavelet transform and its application to multiple encryption, Inf. Sci. 223 (2013) 297-316.
7. Y. Bodyanskiy, O. Vynokurova, Hybrid adaptive wavelet-neuro-fuzzy system for chaotic time series identification, Inf. Sci. 220 (2013) 170-179.
8. T. Cimen, S.P. Banks, Nonlinear optimal tracking control with application to super-tankers for autopilot design, Automatica 40 (2004) 1845-1863.
9. M. Chadli, S. Aouaouda, H.R. Karimi, P. Shi, Robust fault tolerant tracking controller design for a VTOL aircraft, J. Franklin Inst. 350 (2013) 2627-2645.
10. M.Y. Cui, Z.J. Wu, X.J. Xie, Stochastic modeling and tracking control for a two-Link planar rigid robot manipulator, Int. J. Innov. Comput. Inf. Control 9 (2013) 1769-1780.
11. K. Chou, A.S. Willsky, A. Benveniste, Multiscale recursive estimation, data fusion, and regularization, IEEE Trans. Autom. Control 39 (1994) 464-478.
12. K. Chou, A.S. Willsky, R. Nikoukhah, Multiscale systems, Kalman filters, and Riccati equations, IEEE Trans. Autom. Control 39 (1994) 479-492.
13. R.R. Coifman, M.V. Wickerhauser, Entropy-based algorithms for best basis selection, IEEE Trans. Inf. Theory 38 (1992) 713-718.
14. A. Domahidi, A.U. Zgraggen, M.N. Zeilinger, M. Morari, C.N. Jones, Efficient interior point methods for multistage problems arising in receding horizon control, in: Proceeding of the 51st IEEE Conference on Decision and Control, Hawaii, USA, 2012, pp. 668-674.
15. 1 output tracking control, IEEE Trans. Autom. Control 53 (2008) 655-667.
16. S.S. Hu, Z.Q. Wang, W.L. Hu, Optimal Control Theory and Systems, Science Press, Beijing, 2005.
17. L. Hong, Multiresolutional distributed filtering, IEEE Trans. Autom. Control 39 (1994) 853-856.
18. L. Hong, D. Wicker, A spatial-domain multiresolutional particle filter with thresholded wavelets, Signal Process. 87 (2007) 1384-1401.
19. X.H. Han, X.M. Chang, An intelligent noise reduction method for chaotic signals based on genetic algorithms and lifting wavelet transforms, Inf. Sci. 218 (2013) 103-118.
20. G. Arantes Jr., L.S. Martins-Filho L, A.C. Santana, Optimal on-off attitude control for the Brazilian multimission platform satellite, Math. Probl. Eng. (2009) 750945.
21. A.E.B. Lim, J.B. Moore, L. Faybusovich, Separation theorem for linearly constrained LQG optimal control, Syst. Control Lett. 28 (1996) 227-235.
22. D. Li, F.C. Qian, P.L. Fu, Optimal nominal dual control for discrete-time linear-quadratic Gaussian problems with unknown parameters, Automatica 44 (2008) 119-127.
23. S. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Trans. Pattern Anal. Mach. Intell. 11 (1989) 674-693.
24. Y.H. Peng, Wavelet Transform and Engineering Application, Science Press, Beijing, 1999.
25. O. Rioul, M. Vetterli, Wavelets and signal processing, IEEE Signal Proc. Mag. 8 (1991) 14-38.
26. M.S. Reis, A multiscale empirical modeling framework for system identification, J. Process Control 19 (2009) 1546-1557.
27. Q.K. Shen, B. Jiang, P. Shi, J. Zhao, Cooperative adaptive fuzzy tracking control for networked unknown nonlinear multiagent systems with time-varying actuator faults, IEEE Trans. Fuzzy Syst. 22 (2013) 494-504.
28. C.S. Sastry, S. Rawat, A.K. Pujari, V.P. Gulati, Network traffic analysis using singular value decomposition and multiscale transforms, Inf. Sci. 177 (2007) 5275-5291.
29. G. Stephanopoulos, O. Karsligil, S.M. Dyer, Multiscale theory for linear dynamic processes part 1. Foundations, Comput. Chem. Eng. 32 (2008) 857-884.
30. G. Stephanopoulos, O. Karsligil, S.M. Dyer, Multiscale theory for linear dynamic processes part 2. Multiscale model predictive control (MS-MPC), Comput. Chem. Eng. 32 (2008) 885-912.
31. G.Y. Tang, H.Y. Sun, Y.M. Liu, Optimal tracking control for discrete time-delay systems with persistent disturbances, Asian J. Control 8 (2006) 135-140.
32. S. Tedmori, N. Al-Najdawi, Image cryptographic algorithm based on the Haar wavelet transform, Inf. Sci. 269 (2014) 21-34.
33. H.Q. Wang, B. Chen, C. Lin, Adaptive neural tracking control for a class of stochastic nonlinear systems with unknown dead-zone, Int. J. Innov. Comput. Inf. Control 9 (2013) 3257-3269.
34. Y. Wang, S. Boyd, Fast model predictive control using online optimization, IEEE Trans. Control Syst. Technol. 18 (2010) 267-278.
35. M.V. Wickerhauser, INRIA lectures on wavelet packet algorithms, in: INRIA Lectures on Wavelet Packet Algorithms, 1991, pp. 31-99.
36. D.Z. Xu, B. Jiang, P. Shi, Global robust tracking control of non-affine nonlinear systems with application to yaw control of UAV helicopter, Int. J. Control Autom. Syst. 11 (2013) 957-965.
37. K. You, L. Xie, Linear quadratic Gaussian control with quantised innovations Kalman filter over a symmetric channel, IET Control Theory Appl. 5 (2011) 437-446.
38. M.G. Yoon, V.A. Ugrinovskii, Robust tracking problem for continuous time stochastic uncertain systems, in: Proceeding of the 42nd IEEE Conference on Decision and Control, Hawaii, USA, 2003, pp. 282-287.
39. Y.Y. Yin, P. Shi, F. Liu, Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities, J. Frank. Inst. 348 (2011) 685-702.
40. Q. Zhou, P. Shi, J.J. Lu, S.Y. Xu, Adaptive output-feedback fuzzy tracking control for a class of nonlinear systems, IEEE Trans. Fuzzy Syst. 19 (2011) 972-982.
41. J.K. Zhou, Q.L. Hu, G.F. Ma, Decentralized adaptive output feedback attitude synchronization tracking control of satellite formation flying, Int. J. Innov. Comput. Inf. Control 8 (2012) 977-988.
42. L. Zhang, X.L. Wu, Q. Pan, H.C. Zhang, Multiresolution modeling and estimation of multisensor data, IEEE Trans. Signal Process. 52 (2004) 3170-3182.
43. L. Zhao, Y.M. Jia, Robust transcale state estimation for multiresolution discrete-time systems based on wavelet transform, IET Sig. Process. 7 (2013) 228-238.
44. L. Zhao, Y. Lin, Y.M. Jia, Y.W. Li, J. Zhang, Transcale LQ tracking control for a class of discrete systems based on wavelet packet decomposition, in: Proceeding of the 2013 American Control Conference, Washington, DC, USA, 2013, pp. 378-383.
45. L. Zhao, Y.M. Jia, Transcale LQG tracking control for a class of discrete stochastic systems, Eng. Appl. Artif. Intell. 30 (2014) 129-136.