Improved conditions for event-triggered control of switched linear systems
- Author(s): Yue-E Wang 1 ; Di Wu 2 ; Ben Niu 3
-
-
View affiliations
-
Affiliations:
1:
School of Mathematics and Information Science , Shaanxi Normal University , Xi'an 710119 , People's Republic of China ;
2: School of Control Science and Engineering , Dalian University of Technology , Dalian 116024 , People's Republic of China ;
3: School of Information Science and Engineering , Shandong Normal University , Jinan 250014 , People's Republic of China
-
Affiliations:
1:
School of Mathematics and Information Science , Shaanxi Normal University , Xi'an 710119 , People's Republic of China ;
- Source:
Volume 14, Issue 8,
21
May
2020,
p.
1104 – 1110
DOI: 10.1049/iet-cta.2019.0636 , Print ISSN 1751-8644, Online ISSN 1751-8652
The sampled-data event-triggered control problem of switched linear systems in which both the sampled information of the system states and the switching signal are available to the controller at the event-triggered transmission instants is studied here. The coexistence of the event-triggered transmission and the switching behaviour makes the switching signal of the controller and the switching signal of the system asynchronous. By constructing a new multiple Lyapunov–Krasovskii functional and using the asynchronous switching method, the exponential stability conditions characterised by mode-dependent average dwell time of the switching signal are proposed. Then, the corresponding solvability conditions for the event-triggered state feedback controller are formulated. Finally, a numerical example is given to illustrate the validity of the proposed results.
Inspec keywords: asymptotic stability; time-varying systems; Lyapunov methods; delays; linear matrix inequalities; state feedback; control system synthesis; closed loop systems; linear systems
Other keywords: event-triggered state feedback controller; asynchronous switching method; event-triggered transmission instants; switched linear systems; sampled-data event-triggered control problem; switching signal; system states; switching behaviour
Subjects: Linear control systems; Algebra; Stability in control theory; Control system analysis and synthesis methods; Nonlinear control systems; Optimal control; Distributed parameter control systems; Time-varying control systems
References
-
-
1)
-
33. Xiao, X.Q., Zhou, L., Ho, D.W.C., et al: ‘Event-triggered control of continuous-time switched linear systems’, IEEE Trans. Autom. Control, 2019, 64, (4), pp. 1710–1717.
-
-
2)
-
18. Liu, F., Song, Y.D.: ‘Stability condition for sampled data based control of linear continuous switched systems’, Syst. Control Lett., 2011, 60, pp. 787–797.
-
-
3)
-
27. Zuo, Z.Q., Li, Y.Y., Wang, Y.J., et al: ‘Event-triggered control for switched systems in the presence of actuator saturation’, Int. J. Syst. Sci., 2018, 49, (7), pp. 1478–1490.
-
-
4)
-
19. Tabuada, P.: ‘Event-triggered real-time scheduling of stabilizing control tasks’, IEEE Trans. Autom. Control, 2007, 52, (9), pp. 1680–1685.
-
-
5)
-
1. Huong, D.C., Huynh, V.T., Trinh, H.: ‘Integral outputs-based robust state observers design for time-delay systems’, SIAM J. Control Optim., 2019, 57, (3), pp. 2214–2239.
-
-
6)
-
35. Zhao, X.D., Zhang, L.X., Shi, P., et al: ‘Stability and stabilization of switched linear systems with mode-dependent average dwell time’, IEEE Trans. Autom. Control, 2012, 57, (7), pp. 1809–1815.
-
-
7)
-
22. Chen, P., Li, F.Q.: ‘A survey on recent advances in event-triggered communication and control’, Inf. Sci., 2018, 457–458, pp. 113–125.
-
-
8)
-
23. Zhang, X.M., Han, Q.L., Zhang, B.L.: ‘An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems’, IEEE Trans. Ind. Inf., 2017, 13, (1), pp. 4–16.
-
-
9)
-
5. Wang, R., Li, Y.X., Sun, H., et al: ‘Performance analysis of switched flight control systems based on hidden markov model’, J, Electron. Inf. Technol., 2017, 39, (4), pp. 989–996.
-
-
10)
-
29. Wang, Y.J., Jia, Z.X., Zuo, Z.Q.: ‘Dynamic event-triggered and self-triggered output feedback control of networked switched linear systems’, Neurocomputing, 2018, 314, pp. 39–47.
-
-
11)
-
8. Wang, Y.E., Karimi, H.R., Di, W.: ‘Construction of hybrid interval observers for switched linear systems’, Inf. Sci., 2018, 454–455, pp. 242–254.
-
-
12)
-
9. Wang, T., Tong, S.: ‘Observer-based output-feedback asynchronous control for switched fuzzy systems’, IEEE Trans. Cybern., 2017, 47, (9), pp. 2579–2591.
-
-
13)
-
17. Yang, H., Jiang, B., Cocquempot, V.: ‘A survey of results and perspectives on stabilization of switched nonlinear systems with unstable modes’, Nonlinear Anal. Hybrid Syst., 2014, 13, (10–11), pp. 45–60.
-
-
14)
-
3. Zhao, X.D., Yin, Y.F., Liu, L., et al: ‘Stability analysis and delay control for switched positive linear systems’, IEEE Trans. Autom. Control, 2018, 63, (7), pp. 2184–2190.
-
-
15)
-
2. Thuan, M.V., Huong, D.C.: ‘New results on exponential stability and passivity analysis of delayed switched systems with nonlinear perturbations’, Circuits Syst. Signal Process., 2018, 37, (2), pp. 569–592.
-
-
16)
-
6. Liberzon, D.: ‘Switching in systems and control’ (Birkhauser, Berlin, 2003).
-
-
17)
-
26. Ma, G.Q., Liu, X.H., Qin, L.L., et al: ‘Finite-time event-triggered H∞ control for switched systems with time-varying delay’, Neurocomputing, 2016, 207, pp. 828–842.
-
-
18)
-
15. Jiang, B., Shen, Q.K., Shi, P.: ‘Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching’, Automatica, 2015, 61, pp. 119–125.
-
-
19)
-
7. Ma, R., Fu, J., Chai, T.: ‘Dwell-time-based observer design for unknown input switched linear systems without requiring strong detectability of subsystems’, IEEE Trans. Autom. Control, 2017, 62, (8), pp. 4215–4221.
-
-
20)
-
30. Xiang, W.M., Johnson, T.T.: ‘Event-triggered control for continuous-time switched linear systems’, IET Control Theory Appl., 2017, 11, (11), pp. 1694–1703.
-
-
21)
-
38. Sun, X.M., Zhao, J., Hill, D.J.: ‘Stability and L2-gain analysis for switched delay systems: a delay-dependent method’, Automatica, 2006, 42, pp. 1769–1774.
-
-
22)
-
28. Zhu, K.W., Ma, D., Zhao, J.: ‘Event-triggered control for a switched LPV system with applications to aircraft engines’, IET Control Theory Appl., 2018, 12, (10), pp. 1505–1514.
-
-
23)
-
37. Gu, K.: ‘An integral inequality in the stability problem of time-delay systems’. Proc. 39th IEEE Conf. on Decision and Control, Australia, 2000, vol. 3, pp. 2805–2810.
-
-
24)
-
21. Sabih, M.: ‘Networked event-triggered control: an introduction and research trends’, Int. J. Gen. Syst., 2014, 43, (8), pp. 810–827.
-
-
25)
-
32. Ren, H.L., Zong, G.D., Li, T.S.: ‘Event-triggered finite-time control for networked switched linear systems with asynchronous switching’, IEEE Trans. Syst. Man Cybern. Syst., 2018, 48, (11), pp. 1874–1884.
-
-
26)
-
11. Li, Y.M., Tong, S.C., Liu, L., et al: ‘Adaptive output-feedback control design with prescribed performance for switched nonlinear systems’, Automatica, 2017, 80, pp. 225–231.
-
-
27)
-
12. Zhao, X.D., Shi, P., Zheng, X.L., et al: ‘Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator deadzone’, Automatica, 2015, 60, pp. 193–200.
-
-
28)
-
14. Li, J., Zhao, J.: ‘H∞ output tracking control for discrete-time switched systems via output feedback’, Int. J. Robust Nonlinear Control, 2015, 25, pp. 430–442.
-
-
29)
-
13. Wu, C.Y., Zhao, J.: ‘Adaptive tracking control for uncertain switched systems under asynchronous switching’, Int. J. Robust Nonlinear Control, 2015, 25, (17), pp. 3457–3477.
-
-
30)
-
4. Zadarnowska, K.: ‘Switched modeling and task-priority motion planning of wheeled mobile robots subject to slipping’, J. Intell. Robot. Syst., 2017, 85, (3–4), pp. 449–469.
-
-
31)
-
24. Li, T.F., Fu, J., Ma, Z.X.: ‘Improved event-triggered control for a class of continuous-time switched linear systems’, IET Control Theory Appl., 2018, 12, (7), pp. 1000–1005.
-
-
32)
-
36. Wang, Y.E., Sun, X.M., Wu, B.W.: ‘Lyapunov–Krasovskii functionals for switched nonlinear input delay systems under asynchronous switching’, Automatica, 2015, 61, pp. 126–133.
-
-
33)
-
16. Feng, Z., Antsaklis, P.J.: ‘Optimal control of hybrid switched systems: a brief survey’, Discrete Event Dyn. Syst., 2015, 25, (3), pp. 345–364.
-
-
34)
-
10. Li, S., Ahn, C.K., Xiang, Z.R.: ‘Sampled-data adaptive output feedback fuzzy stabilization for switched nonlinear systems with asynchronous switching’, IEEE Trans. Fuzzy Syst., 2019, 27, (1), pp. 200–205.
-
-
35)
-
31. Xiao, X.Q., Zhou, L., Lu, G.P.: ‘Event-triggered H∞ filtering of continuous-time switched linear systems’, Signal Process., 2017, 141, pp. 343–349.
-
-
36)
-
20. Wu, D., Sun, X.M., Wen, C.Y., et al: ‘Redesigned predictive event-triggered controller for networked control system with delays’, IEEE Trans. Cybern., 2016, 46, (10), pp. 2195–2206.
-
-
37)
-
25. Qi, Y.W., Cao, M.: ‘Finite-time boundedness and stabilisation of switched linear systems using event-triggered controllers’, IET Control Theory Appl., 2017, 11, (18), pp. 3240–3248.
-
-
38)
-
34. Wang, Y.E., Wu, B.W., Wu, C.Y.: ‘Stability and L2−gain analysis of switched input delay systems with unstable modes under asynchronous switching’, J. Franklin Inst., 2017, 354, pp. 4481–4497.
-
-
1)