×

Network-based robust \(H_{\infty}\) control of systems with uncertainty. (English) Zbl 1091.93007

Summary: This paper is concerned with the design of robust \(H_{\infty}\) controllers for uncertain networked control systems (NCSs) with the effects of both the network-induced delay and data dropout taken into consideration. A new analysis method for \(H_{\infty}\) performance of NCSs is provided by introducing some slack matrix variables and employing the information of the lower bound of the network-induced delay. The designed \(H_{\infty}\) controller is of memoryless type, which can be obtained by solving a set of linear matrix inequalities. Numerical examples and simulation results are given finally to illustrate the effectiveness of the method.

MSC:

93B36 \(H^\infty\)-control
93C41 Control/observation systems with incomplete information
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bamieh, B.; Pearson, J., A general framework for linear periodic systems with application to \(H_\infty\) sampled-data control, IEEE Transactions on Automatic Control, 37, 418-435 (1992) · Zbl 0757.93020
[3] Hu, S.; Zhu, Q., Stochastic optimal control and analysis of stability of networked control systems with long delay, Automatica, 39, 1877-1884 (2003) · Zbl 1175.93240
[4] Khargonekar, P. P.; Petersen, I. R.; Zhou, K., Robust stabilization of uncertain linear systemsquadratic stabilizability and \(H_\infty\) control theory, IEEE Transactions on Automatic Control, 35, 356-361 (1990) · Zbl 0707.93060
[5] Kim, D.; Lee, Y.; Kwon, W.; Park, H., Maximum allowable delay bounds of networked control systems, Control Engineering Practice, 11, 1301-1313 (2003)
[7] Mao, X.; Koroleva; Rodkina, A., Robust stability of uncertain stochastic differential delay equations, Systems and Control Letters, 35, 325-336 (1998) · Zbl 0909.93054
[8] Nguang, S.; Shi, P., Fuzzy \(H_\infty\) output feedback control of nonlinear systems under sampled measurements, (Proceedings of the conference on decision and control (2001), Orlando: Orlando Florida), 4370-4375 · Zbl 1227.80036
[9] Niculescu, S. -I., \(H_\infty\) memoryless control with an \(\alpha \)-stability constraint for time-delay systemsan LMI approach, IEEE Transactions on Automatic Control, 43, 739-743 (1998) · Zbl 0911.93031
[10] Nilsson, J.; Bernhardsson, B.; Wittenmark, B., Stochastic analysis and control of real-time systems with random time delays, Automatica, 34, 57-64 (1998) · Zbl 0908.93073
[11] Oriov, Y.; Acho, L., Nonlinear \(H_\infty \)-control via sampled-data measurement feedbacktime-scale conversion to continuous measurement case, (Proceedings of the conference on decision and control (2000), Sydney: Sydney Australia), 3037-3042
[12] Park, H.; Kim, Y.; Kim, D.; Kwon, W., A scheduling method for network based control systems, IEEE Transactions on Control Systems Technology, 10, 318-330 (2002)
[13] Petersen, I. R., Disturbance attenuation and \(H_\infty\) optimizationa design method based on the algebraic Riccati equation, IEEE Transactions on Automatic Control, 32, 427-492 (1987)
[14] Toivonen, H., Sampled-data control of continuous-time system with an \(H_\infty\) optimality criterion, Automatica, 28, 45-54 (1992) · Zbl 0746.93062
[15] Walsh, G.; Ye, H.; Bushnell, L., Stability analysis of networked control systems, IEEE Transactions on Control Systems Technology, 10, 438-446 (2002)
[16] Xie, L.; de Souza, C. E., Robust \(H_\infty\) control for linear systems with norm-bounded time-varying uncertainty, IEEE Transactions on Automatic Control, 37, 8, 1188-1191 (1992) · Zbl 0764.93027
[17] Yue, D.; Han, Q. -L.; Chen, P., State feedback controller design of networked control systems, IEEE Transactions on Circuits and Systems—IIExpress Briefs, 51, 11, 640-644 (2004)
[18] Zhang, W.; Branicky, M.; Phillips, S., Stability of networked control systems, IEEE Control Systems Magazine, 21, 84-99 (2001)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.