6533b7d0fe1ef96bd125acfb
RESEARCH PRODUCT
An LMI approach to quantized H<inf>&#x221E;</inf> control of uncertain linear systems with network-induced delays
Hamid Reza KarimiNingsu LuoMauricio Zapateirosubject
Quantization (physics)Exponential stabilityControl theoryBounded functionAttenuationConvex optimizationLinear systemRobust controlTelecommunications networkMathematicsdescription
This paper deals with a convex optimization approach to the problem of robust network-based H ∞ control for linear systems connected over a common digital communication network with norm-bounded parameter uncertainties. Firstly, we investigate the effect of both the output quantization levels and the network conditions under static quantizers. Secondly, by introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-range-dependent linear matrix inequalities for the existence of the desired network-based quantized controllers with simultaneous consideration of network induced delays and measurement quantization. The explicit expression of the controllers is derived to satisfy both asymptotic stability and a prescribed level of disturbance attenuation for all admissible norm bounded uncertainties. One example is utilized to illustrate the design procedure proposed in this paper.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-10-01 | 2010 Conference on Control and Fault-Tolerant Systems (SysTol) |