Modal exact linearization of a class of second-order switched nonlinear systems

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 4, 2010, Pages 2243-2252

  Barkhordari Yazdi, M ^a,b   Jahed Motlagh, M R ^a   Attia, S A ^b   Raisch, J ^b  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Feedback linearization; Nonlinear systems; Stabilization; Switched systems

Indexed keywords

CONTINUOUS STIRRED TANK REACTOR; EXACT LINEARIZATION; INPUT-AFFINE; LINEARIZABILITY; MODAL STATE; SECOND ORDERS; SPECIAL STRUCTURE; STATE TRANSFORMATION; SWITCHED LINEAR SYSTEM; SWITCHED NON-LINEAR SYSTEMS; SWITCHED SYSTEM;

FEEDBACK; LINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR FEEDBACK; NONLINEAR SYSTEMS; STABILIZATION; STATE FEEDBACK; SWITCHING SYSTEMS;

FEEDBACK LINEARIZATION;

EID: 77955774798     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.06.014     Document Type: Article

References (37)

1. J. Lygeros, D.N. Godbole, and S. Sastry Verified hybrid controllers for automated vehicles IEEE Transactions on Automatic Control 43 1998 522 539
2. A. Balluchi, M.D. Di Benedetto, C. Pinello, C. Rossi, and A. Sangiovanni-Vincentelli Hybrid control in automotive applications the cut-off control Automatica 35 1999 519 535
3. H.J. Kima, and Y.P. Park Hybrid attitude control in steering maneuver using ARC Hil setup Control Engineering Practice 10 2002 1339 1345
4. G. Ferrari-Trecate, E. Gallestey, P. Letizia, M. Spedicato, M. Morari, and M. Antoine Modeling and control of co-generation power plants: A hybrid system approach IEEE Transactions on Control Systems Technology 12 2004 694 705
5. G.K. Fourlas, K.J. Kyriakopoulos, and C.D. Vournas Hybrid systems modeling for power systems IEEE Circuits and Systems Magazine 4 2004 16 23
6. S. Moughamir, J. Zaytoon, N. Manamanni, and L. Afilal A system approach for control development of lower-limbs training machines Control Engineering Practice 10 2002 287 299
7. J. Tan, N. Xi, and Y. Wang A singularity-free motion control algorithm for robot manipulators A hybrid system approach Automatica 40 2004 1239 1245
8. D. Lee, Y. Kueon, and S. Lee High performance hybrid mold level controller for thin slab caster Control Engineering Practice 12 2004 275 281
9. L. Ozkan, and M.V. Kothare Stability analysis of a multi-model predictive control algorithm with application to control of chemical reactors Journal of Process Control 16 2006 81 90
10. C. Tomlin, G.J. Pappas, and S. Sastry Conflict resolution for air traffic management: A study in multiagent hybrid systems IEEE Transactions on Automatic Control 43 1998 509 521
11. K. Artiouchine, P. Baptiste, and J. Mattioli On modeling a dynamic hybrid system with constraints: Computing aircraft landing trajectories INFORMS Journal on Computing 20 2008 222 233
12. K.P. Laberteaux, C.E. Rohrs, and P.J. Antsaklis A practical controller for explicit rate congestion control IEEE Transactions on Automatic Control 47 2002 960 978
13. A.V. Savkin, A.S. Matveev, and P.B. Rapajic The medium access control problem for wireless communication networks modelled as hybrid dynamical systems Nonlinear Analysis. Theory, Methods & Applications 62 2005 1384 1393
14. R.A. Decarlo, M.S. Branicky, S. Pettersson, and B. Lennartson Perspectives and results on the stability and stabilizability of hybrid systems Proceedings of the IEEE 88 2000 1069 1082
15. R. Shorten, F. Wirth, O. Mason, K. Wulff, and C. King Stability criteria for switched and hybrid systems SIAM Review 49 2007 545 592 (Pubitemid 350263542)
16. M. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Transactions on Automatic Control 43 1998 475 482
17. S. Mitra, N. Lynch, and D. Liberzon Verifying average dwell time by solving optimization problems J. Hespanha, A. Tiwari, Hybrid Systems: Computation and Control LNCS vol. 3927 2006 Springer-Verlag Berlin 476 490
18. X. Xu, G. Zhai, and S. He On practical asymptotic stabilizability of switched affine systems Nonlinear Analysis: Hybrid Systems 2 2008 196 208
19. S. Pettersson, B. Lennartson, Stabilization of hybrid systems using a min-projection strategy, in: Proc. of the American Control Conf., 2001, pp. 223228
20. C. Persis, R. Santis, and A.S. Morse Switched nonlinear systems with state-dependent dwell-time Systems & Control Letters 50 2003 291 302
21. X. Xu, and G. Zhai Practical stability and stabilization of hybrid and switched systems IEEE Transactions on Automatic Control 50 2005 1897 1903 (Pubitemid 41748897)
22. N.H. El-Farra, and P.D. Christofides Coordinating feedback and switching for control of hybrid nonlinear processes AIChE Journal 49 2003 2079 2098
23. M. Barkhordari, M.R. Jahed Motlagh, M. Keshavarz, Enlarging region of attraction in inputoutput linearizing method, in: Proc. of the 10th International Conference on Control, Automation, Robotics and Vision, Hanoi, Vietnam, 2008
24. G. Chesi Estimating the domain of attraction via union of continuous families of Lyapunov estimates Systems & Control Letters 56 2007 326 333
25. S.A. Attia, M. Alamir, A predictive switching strategy for a class of hybrid systems: Wave suppression in fluid dynamic systems, in: IFAC Workshop on NMPC for Fast Systems, Grenoble, France, 2006
26. N.H. El-Farra, P. Mhaskar, and P.D. Christofides Output feedback control of switched nonlinear systems using multiple Lyapunov functions Systems & Control Letters 54 2005 1163 1182 (Pubitemid 41455478)
27. P. Mhaskar, N.H. El-Farra, and P.D. Christofides Predictive control of switched nonlinear systems with scheduled mode transitions IEEE Transactions on Automatic Control 50 2005 1670 1680 (Pubitemid 41748864)
28. A. Isidori Nonlinear Control Systems 3rd ed. 1995 Springer-Verlag New York
29. L. Magni, G.D. Nicolao, L. Magnani, and R. Scattolini A stabilizing model-based predictive control algorithm for nonlinear systems Automatica 37 2001 1351 1362 (Pubitemid 32691030)
30. C.D. Aliprantis, and K.C. Border Infinite Dimensional Analysis: A Hitchhiker's Guide 2nd ed. 1999 Springer-Verlag Berlin
31. W.M. Boothby An Introduction to Differentiable Manifolds and Riemannian Geometry 2nd ed. 2002 Academic Press San Diego
32. Z. Sun, S.S. Ge, and T.H. Lee Controllability and reachability criteria for switched linear systems Automatica 38 2002 775 786
33. L. Zhang, Y. Chen, and P. Cui Stabilization for a class of second-order switched systems Nonlinear Analysis. Theory, Methods & Applications 62 2005 1527 1535 (Pubitemid 41252316)
34. Q. Hu, and D. Cheng Stabilizer design of planar switched linear systems Systems & Control Letters 57 2008 876 879
35. D. Cheng, L. Guo, Y. Lin, and Y. Wang Stabilization of switched linear systems IEEE Transactions on Automatic Control 50 2005 661 666
36. D. Cheng Stabilization of planar switched systems Systems & Control Letters 51 2004 79 88
37. H. Yang, G. Xie, T. Chu, and L. Wang Commuting and stable feedback design for switched linear systems Nonlinear Analysis. Theory, Methods & Applications 64 2006 197 216