Guaranteed cost control of networked control systems under limited communication capacity and variable sampling
来源期刊：中南大学学报(英文版)2014年第3期
论文作者：LIU Ying-ying(刘英英) CHU Yun-kai(褚云凯) CHE Wei-wei(车伟伟)
文章页码：978 - 986
Key words：networked control systems (NCSS); quantization; time-varying delays; time-varying sampling; guaranteed cost control
Abstract: The problem of guaranteed cost control for the networked control systems (NCSs) with time-varying delays, time-varying sampling intervals and signals quantization was investigated, wherein the physical plant was continuous-time one, and the control input was discrete-time one. By using an input delay approach and a sector bound method, the network induced delays, quantization parameter and sampling intervals were presented in one framework in the case of the state and the control input by quantized in a logarithmic form. A novel Lyapunov function with discontinuity, which took full advantages of the NCS characteristic information, was exploited. In addition, it was shown that Lyapunov function decreased at the jump instants. Furthermore, the Leibniz-Newton formula and free-weighting matrix methods were used to obtain the guaranteed cost controller design conditions which were dependent on the NCS characteristic information. A numerical example was used to illustrate the effectiveness of the proposed methods.
LIU Ying-ying(刘英英)1, CHU Yun-kai(褚云凯)2, CHE Wei-wei(车伟伟)3
(1. School of Information Engineering, Shenyang University, Shenyang 110044, China;
2. Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016, China;
3. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University,
Shenyang 110044 China)
Abstract:The problem of guaranteed cost control for the networked control systems (NCSs) with time-varying delays, time-varying sampling intervals and signals quantization was investigated, wherein the physical plant was continuous-time one, and the control input was discrete-time one. By using an input delay approach and a sector bound method, the network induced delays, quantization parameter and sampling intervals were presented in one framework in the case of the state and the control input by quantized in a logarithmic form. A novel Lyapunov function with discontinuity, which took full advantages of the NCS characteristic information, was exploited. In addition, it was shown that Lyapunov function decreased at the jump instants. Furthermore, the Leibniz-Newton formula and free-weighting matrix methods were used to obtain the guaranteed cost controller design conditions which were dependent on the NCS characteristic information. A numerical example was used to illustrate the effectiveness of the proposed methods.
Key words:networked control systems (NCSS); quantization; time-varying delays; time-varying sampling; guaranteed cost control
