Tian, Engang; Yue, Dong; Peng, Chen Quantized output feedback control for networked control systems. (English) Zbl 1179.93096 Inf. Sci. 178, No. 12, 2734-2749 (2008). Summary: This paper addresses the problem of output feedback control for Networked Control Systems (NCSs) with limited communication capacity. Firstly, we propose a new model to describe the non-ideal network conditions and the input/output state quantization of the NCSs in a unified framework. Secondly, based on our newly proposed model and an improved separation lemma, an observer-based controller is developed for the asymptotical stabilization of the NCSs, which are shown in terms of nonlinear matrices inequalities. The nonlinear problems can be computed through solving a convex optimization problems, and the observed and controller gains could be derived by solving a set of linear matrix inequalities. Thirdly, two simulation examples are given to demonstrate the effectiveness of the proposed method. Cited in 56 Documents MSC: 93B52 Feedback control 93C10 Nonlinear systems in control theory 15A39 Linear inequalities of matrices 93A14 Decentralized systems Keywords:networked control systems; data quantization; Lyapunov functional approach; output feedback control; linear matrix inequalities (LMIs) PDF BibTeX XML Cite \textit{E. Tian} et al., Inf. Sci. 178, No. 12, 2734--2749 (2008; Zbl 1179.93096) Full Text: DOI References: [1] Brockett, R. W.; Liberzon, D., Quantized feedback stabilization of linear systems, IEEE Transactions on Automatic Control, 45, 1279-1289 (2000) · Zbl 0988.93069 [2] Delvenne, J. C., An optimal quantized feedback strategy for scalar linear systems, IEEE Transactions on Automatic Control, 51, 298-303 (2006) · Zbl 1366.93217 [3] El Ghaoui, L.; Oustry, F.; AitRami, M., A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE Transactions on Automatic Control, 42, 1171-1176 (1997) · Zbl 0887.93017 [4] Fu, M.; Xie, L., The sector bound approach to quantized feedback control, IEEE Transactions on Automatic Control, 50, 1698-1710 (2005) · Zbl 1365.81064 [5] He, Y.; Wu, M.; She, J. H.; Liu, G. P., Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties, IEEE Transactions on Automatic Control, 49, 828-832 (2004) · Zbl 1365.93368 [6] Hua, C.; Li, F.; Guan, X. P., Observer-based adaptive control for uncertain time-delay systems, Information Sciences, 176, 201-214 (2006) · Zbl 1121.93034 [7] Hua, H. N.; Cai, K. Y., Robust fuzzy control for uncertain discrete-time nonlinear markovian jump systems without mode observations, Information Sciences, 177, 1509-1522 (2007) · Zbl 1120.93337 [8] Ishii, H.; Basar, T., Remote control of LTI systems over networks with state quantization, Systems and Control Letters, 54, 15-31 (2005) · Zbl 1129.93444 [9] Liberzon, D., Hybrid feedback stabilization of systems with quantized signals, Automatica, 39, 1543-1554 (2003) · Zbl 1030.93042 [11] Mahmoud, M. S.; Shi, P.; Yi, J. Q.; Pan, J. S., Robust observers for neutral jumping systems with uncertain information, Information Sciences, 176, 2355-2385 (2006) · Zbl 1116.93051 [12] Montestruque, L.; Antsaklis, P. J., Stability of model-based networked control systems with time-varying transmission times, IEEE Transactions on Automatic Control, 49, 1562-1572 (2004) · Zbl 1365.90039 [13] Montestruque, L.; Antsaklis, P. J., Static and dynamic quantization in model-based networked control systems, International Journal of Control, 80, 87-101 (2007) · Zbl 1112.68006 [14] Moon, Y. C.; Park, P.; Kwon, W. H.; Lee, Y. S., Delay-dependent robust stabilization of uncertain state-delays system, International Journal of Control, 74, 1447-1455 (2001) · Zbl 1023.93055 [16] Peng, C.; Tian, Y.-C., Networked \(H_\infty\) control of linear systems with state quantization, Information Sciences, 177, 5763-5774 (2007) · Zbl 1126.93338 [17] Tian, E.; Yue, D.; Zhao, X., Quantised control design for networked control systems, IET Control Theory Application, 1, 1693-1699 (2007) [18] Tian, Y. C.; Yu, Z. G.; Frdge, C., Multifractal nature of network induced time delay in networked control systems, Physics Letters A, 361, 103-107 (2007) · Zbl 1170.68318 [19] Tseng, C. S.; Hwang, C. K., Fuzzy observer-based fuzzy control design for nonlinear systems with persistent bounded disturbances, Fuzzy Sets and Systems, 158, 164-179 (2007) · Zbl 1110.93032 [20] Walsh, G. C.; Ye, H.; Bushnell, L. G., Stability analysis of networked control systems, IEEE Transactions on Control Systems Technology, 10, 438-446 (2002) [21] Yang, F.; Wang, Z.; Hung, Y. S.; Gani, M., \(H_\infty\) control for networked systems with random communication delays, IEEE Transactions on Automatic Control, 51, 511-518 (2006) · Zbl 1366.93167 [22] Yue, D.; Han, Q.-L., Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity and markovian switching, IEEE Transactions on Automatic Control, 50, 217-222 (2005) · Zbl 1365.93377 [23] Yue, D.; Han, Q.-L.; Chen, P., State feedback controller design of networked control systems, IEEE Transactions on Circuits and Systems - II, 51, 640-644 (2004) [24] Yue, D.; Han, Q.-L.; Lam, J., Network-based robust \(H_\infty\) control with systems with uncertainty, Automatica, 41, 999-1007 (2005) · Zbl 1091.93007 [25] Yue, D.; Peng, C.; Tang, G. Y., Guaranteed cost control of linear systems over networks with state and input quantizations, IEE Proceedings: Control Theory and Applications, 153, 6, 658-664 (2006) [27] Zhang, W.; Branicky, M. S.; Phillips, S. M., 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.