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Dual scheduling and quantised control for networked control systems with communication constraints. (English) Zbl 1345.93021

Summary: A novel integrated design scheme of average dwell time scheduling strategy, dynamic bandwidth allocation policy and quantized control for a collection of Networked Control Systems (NCSs) with time delay and communication constraints is proposed in this paper. A scheduling policy is presented to accommodate the limitation of communication capacity which depends on the convergence rate of a closed-loop system and divergence rate of an open-loop plant. Linear programming technique is adopted to dynamically allocate bit rate for each node and the strategy is used to make trade-offs between the network utilization and the control performance which provides an effective way of optimizing the Quality of Control (QoC) and the Quality of Service (QoS) for NCSs. Mid-tread uniform quantizers update the quantization rules according to the assignment of the bit rate and convert the quantized state into a kind of input saturation with bounded disturbances. Taking into account the effect of dual scheduling strategy and quantization, the NCSs are modeled as discrete-time switched systems with bounded disturbances. Furthermore, a scheduling and quantized feedback control co-design procedure is proposed for the simultaneous stabilization of the collection of networked subsystems. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.

MSC:

93A15 Large-scale systems
93B52 Feedback control
90C05 Linear programming
93C55 Discrete-time control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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