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Stabilisation of sampled-data systems with time-varying and uncertain sampling periods via dynamic output-feedback controllers is considered. Extending the existing discrete-time approaches to the more general setup of output-feedback control, sufficient linear matrix inequalities conditions are developed for the design of linear, constant-parameter controllers. The applicability of the proposed design method is demonstrated through numerical examples, which also indicate improvement with regards to the other approaches.
References
-
-
1)
-
5. Walsh, G.C., Ye, H., Bushnell, L.: ‘Stability analysis of networked control systems’, IEEE Trans. Control Syst. Technol., 2002, 10, (3), pp. 438–446.
-
2)
-
2. Hristu-Varsakelis, D.W.S.L., (Eds.): ‘Handbook of networked and embedded control systems’ (Birkhäuser, 2005).
-
3)
-
7. Mirkin, L.: ‘Some remarks on the use of time-varying delay to model sample-and-hold circuits’, IEEE Trans. Autom. Control, 2007, 52, (6), pp. 1109–1112.
-
4)
-
17. Naghshtabrizi, P., Hespanha, J., Teel, A.: ‘On the robust stability and stabilization of sampled-data systems: a hybrid system approach’, 45th IEEE Conf. on Decision and Control, December 2006, pp. 4873–4878.
-
5)
-
10. Suh, Y.S.: ‘Stability and stabilization of nonuniform sampling systems’, Automatica, 2008, 44, (12), pp. 3222–3226.
-
6)
-
12. Fujioka, H., Nakai, T.: ‘Stabilizing systems with aperiodic sampling-and-hold devices: state feedback case’, IET Control Theory Appl., 2010, 4, pp. 262–272.
-
7)
-
8. Fujioka, H.: ‘Stability analysis of systems with aperiodic sample-and-hold devices’, Automatica, 2009, 45, (3), pp. 771–775.
-
8)
-
14. Hetel, L., Cloosterman, M., van de Wouw, N., Heemels, W., Daafouz, J., Nijmeijer, H.: ‘Comparison of stability characterisations for networked control systems’, 48th IEEE Conf. on Decision and Control, 28th Chinese Control Conf., December 2009, pp. 7911–7916.
-
9)
-
13. Fujioka, H.: ‘Stability analysis for a class of networked/embedded control systems: output feedback case’, 17th IFAC World Congress, 2008, pp. 4210–4215.
-
10)
-
25. Hetel, L., Daafouz, J., Iung, C.: ‘Analysis and control of LTI and switched systems in digital loops via an event-based modelling’, Int. J. Control, 2008, 81, (7), pp. 1125–1138.
-
11)
-
19. Hu, S., Yue, D., Du, Z., Liu, J.: ‘Reliable ℋ∞ non-uniform sampling tracking control for continuous-time non-linear systems with stochastic actuator faults’, IET Control Theory Appl., 2012, 6, (1), pp. 120–129.
-
12)
-
6. Fridman, E., Seuret, A., Richard, J.-P.: ‘Robust sampled-data stabilization of linear systems: an input delay approach’, Automatica, 2004, 40, (8), pp. 1441–1446.
-
13)
-
20. Yuz, J., Alfaro, J., Agüero, J., Goodwin, G.: ‘Identification of continuous-time state-space models from non-uniform fast-sampled data’, IET Control Theory Appl., 2011, 5, (7), pp. 842–855.
-
14)
-
4. Zhang, W., Branicky, M.: ‘Stability of networked control systems with time-varying transmission period’, Conf. Communication, Control and Computing, 2001.
-
15)
-
23. Loan, C.V.: ‘The sensitivity of the matrix exponential’, SIAM J. Numer. Anal., 1977, 14, pp. 971–981.
-
16)
-
21. Naghshtabrizi, P., Hespanha, J.: ‘Designing an observer-based controller for a network control system’, Proc. 44th IEEE CDC and European Control Conf., 2005, pp. 848–853.
-
17)
-
9. Fridman, E.: ‘A refined input delay approach to sampled-data control’, Automatica, 2010, 46, (2), pp. 421–427.
-
18)
-
26. Löfberg, J.: ‘Yalmip: a toolbox for modeling and optimization in MATLAB’, Proc. Computer-Aided Control System Design, 2004.
-
19)
-
27. Fujioka, H., Oishi, Y.: ‘A switched Lyapunov function approach to stability analysis of non-uniformly sampled-data systems with robust LMI techniques’, Proc. Eighth IEEE Asian Control Conf., 2011, pp. 1487–1491.
-
20)
-
22. Mustafa, G., Chen, T.: ‘ℋ∞ filtering for nonuniformly sampled systems: A markovian jump systems approach’, Syst. Control Lett., 2011, 60, (10), pp. 871–876.
-
21)
-
24. Scherer, C.: ‘Theory of robust control’. Course notes, Delft University of Technology, The Netherlands, 2001.
-
22)
-
3. Kalman, R.E.: ‘Analysis and synthesis of linear dynamical systems operating on randomly sampled data’. , Columbia University, New York, NY, 1957.
-
23)
-
11. Fujioka, H.: ‘A discrete-time approach to stability analysis of systems with aperiodic sample-and-hold devices’, IEEE Trans. Autom. Control, 2009, 54, (10), pp. 2440–2445.
-
24)
-
1. Hespanha, J.P., Naghshtabrizi, P., Xu, Y.: ‘A survey of recent results in networked control systems’, Proc. IEEE, 2007, 95, (1), pp. 138–162.
-
25)
-
16. Oishi, Y., Fujioka, H.: ‘Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities’, Automatica, 2010, 46, (8), pp. 1327–1333.
-
26)
-
15. Hetel, L., Kruszewski, A., Perruquetti, W., Richard, J.: ‘Discrete and intersample analysis of systems with aperiodic sampling’, IEEE Trans. Autom. Control, 2011, 56, (7), pp. 1696–1701.
-
27)
-
18. Geromel, J.C., Korogui, R.H., Bernussou, J.: ‘ℋ2 and ℋ∞ robust output feedback control for continuous time polytopic systems’, IET Control Theory Appl., 2007, 1, (5), pp. 1541–1549.
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