Quantized H∞ Control for Nonlinear Stochastic Time-Delay Systems With Missing Measurements

被引:216
|
作者
Wang, Zidong [1 ]
Shen, Bo [2 ]
Shu, Huisheng [2 ]
Wei, Guoliang [3 ]
机构
[1] Brunel Univ, Dept Informat Syst & Comp, Uxbridge UB8 3PH, Middx, England
[2] Donghua Univ, Sch Informat Sci & Technol, Shanghai 200051, Peoples R China
[3] Shanghai Univ Sci & Technol, Dept Control Sci & Engn, Shanghai 200031, Peoples R China
基金
中国国家自然科学基金; 英国工程与自然科学研究理事会;
关键词
H-infinity control; data missing; discrete time-delay systems; networked control systems (NCSs); nonlinear systems; quantized control; stochastic systems; NETWORKED CONTROL-SYSTEMS; MULTIPLE PACKET DROPOUTS; LINEAR-SYSTEMS; OUTPUT-FEEDBACK; STABILIZATION; STATE; STABILITY; CHANNELS;
D O I
10.1109/TAC.2011.2176362
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the quantized H-infinity control problem is investigated for a class of nonlinear stochastic time-delay network-based systems with probabilistic data missing. A nonlinear stochastic system with state delays is employed to model the networked control systems where the measured output and the input signals are quantized by two logarithmic quantizers, respectively. Moreover, the data missing phenomena are modeled by introducing a diagonal matrix composed of Bernoulli distributed stochastic variables taking values of 1 and 0, which describes that the data from different sensors may be lost with different missing probabilities. Subsequently, a sufficient condition is first derived in virtue of the method of sector-bounded uncertainties, which guarantees that the closed-loop system is stochastically stable and the controlled output satisfies H-infinity performance constraint for all nonzero exogenous disturbances under the zero-initial condition. Then, the sufficient condition is decoupled into some inequalities for the convenience of practical verification. Based on that, quantized H-infinity controllers are designed successfully for some special classes of nonlinear stochastic time-delay systems by using Matlab linear matrix inequality toolbox. Finally, a numerical simulation example is exploited to show the effectiveness and applicability of the results derived.
引用
收藏
页码:1431 / 1444
页数:14
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