Robust output feedback stabilization of nonlinear networked systems via a finite data-rate communication channel

Journal of Systems Science and Complexity

Volumn 24, Issue 1, 2011, Pages 1-13

  Cheng, Teddy M ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Control over communication networks; nonlinear control; output feedback; uncertain systems

Indexed keywords

COMMUNICATION NETWORKS; CONTROL LAWS; DATA RATES; DATA-RATE COMMUNICATION; ENCODER/DECODER; NETWORKED SYSTEMS; NONLINEAR CONTROL; OUTPUT FEEDBACK; OUTPUT FEEDBACK STABILIZATION; ROBUST STABILIZATION PROBLEM; SAMPLING PERIOD; SUFFICIENT CONDITIONS; UNCERTAIN NONLINEAR SYSTEMS;

CIVIL AVIATION; COMMUNICATION; COMMUNICATION CHANNELS (INFORMATION THEORY); CONTROL SYSTEM STABILITY; CONTROL THEORY; NONLINEAR FEEDBACK; STABILIZATION; TELECOMMUNICATION NETWORKS; UNCERTAIN SYSTEMS;

CLOSED LOOP CONTROL SYSTEMS;

EID: 79551690840     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-011-8397-5     Document Type: Article

References (21)

1. A. V. Savkin and R. J. Evans, Hybrid Dynamical Systems: Controller and Sensor Switching Problems, Birkhäuser, Boston, 2002.
2. A. S. Matveev and A. V. Savkin, Qualitative Theory of Hybrid Dynamical Systems, Birkhäuser, Boston, 2000.
3. H. Ishii and B. A. Francis, Limited Data Rate in Control Systems with Networks, Springer-Verlag, Berlin, 2002.
4. I. R. Petersen and A. V. Savkin, Multi-rate stabilization of multivariable discrete-time linear systems via a limited capacity communication channel, Proc. 40th IEEE Conf. Decision and Control, 2001: 304-309.
5. V. N. Phat, J. Jiang, A. V. Savkin, and I. R. Petersen, Robust stabilization of linear uncertain discrete-time systems via a limited capacity communication channel, Systems & Control Letters, 2004, 53(5): 347-360.
6. A. S. Matveev and A. V. Savkin, The problem of LQG optimal control via a limited capacity communication model, Systems & Control Letters, 2004, 53(1): 51-64.
7. A. S. Matveev and A. V. Savkin, Estimation and Control over Communication Networks, Birkhäuser, Boston, 2009.
8. G. N. Nair, R. J. Evans, I. M. Y. Mareels, and W. Moran, Topological feedback entropy and nonlinear stabilization, IEEE Transactions on Automatic Control, 2004, 49(9): 1585-1597.
9. A. V. Savkin, Analysis and synthesis of networked control systems: Topological entropy, observability, robustness, and optimal control, Automatica, 2006, 42(1): 51-62.
10. D. Liberzon and J. P. Hespanha, Stabilization of nonlinear systems with limited information feedback, IEEE Transactions on Automatic Control, 2005, 50(6): 910-915.
11. C. De Persis, Nonlinear stabilization via encoded feedback: The case of integral ISS systems, Automatica, 2006, 42: 1813-1816.
12. C. De Persis and A. Isidori, Stabilization by state feedback implies stabilizability by encoded state feedback, Systems & Control Letters, 2004, 53(3-4): 249-258.
13. C. De Persis, On stabilization of nonlinear systems under data rate constraints using output measurements, International Journal of Robust and Nonlinear Control, 2006, 16(6): 315-332.
14. J. P. Gauthier and I. Kupca, Deterministic Observation Theory and Applications, Cambridge University Press, Cambridge, 2001.
15. A. V. Savkin and T. M. Cheng, Detectability and output feedback stabilizability of nonlinear networked control systems, IEEE Transactions on Automatic Control, 2007, 52(4): 730-735.
16. T. M. Cheng and A. V. Savkin, Output feedback stabilization of nonlinear networked control systems with non-decreasing nonlinearities: A matrix inequalities approach, International Journal of Robust and Nonlinear Control, 2007, 17(5): 387-404.
17. R. Rajamani and Y. M. Cho, Existence and design of observers for nonlinear systems: Relation to distance to unobservability, International Journal of Control, 1998, 69(5): 717-731.
18. C. Aboky, G. Sallet, and J. C. Vivalda, Observers for lipschitz nonlinear systems, International Journal of Control, 2002, 75(3): 204-212.
19. B. Song and J. Hedrick, Observer-based dynamic surface control for a class of nonlinear systems: An LMI approach, IEEE Transactions on Automatic Control, 2004, 49(11): 1995-2001.
20. E. D. Sontag and A. Teel, Changing supply functions in input/state stable systems, IEEE Transactions on Automatic Control, 1995, 40(7): 1476-1478.
21. T. M. Cheng, V. Malyavej, and A. V. Savkin, Decentralized robust set-valued state estimation in networked multiple sensor systems, Computers and Mathematics with Applications, 2010, 59(8): 2636-2646.