Guaranteed Cost Control for Uncertain Networked Control Systems With Predictive Scheme
Shengli Du, Xi‐Ming Sun, Wei Wang
Abstract
Shengli Du, Xi‐Ming Sun, Wei Wang
Abstract
The problem of guaranteed cost control for a class of networked control systems possessing uncertainties, network delays, and packet dropouts is solved in this paper. By means of introducing an auxiliary variable, a newly coupled, switched system model is derived first. Then, based on a predictive network control scheme, the conditions for guaranteed control performance of the overall system in terms of linear matrix inequalities are given. Next, a novel control design method, involving convex optimization technique to find solutions for the controllers that vary according to network delays and data-dropouts, is developed. It is shown from theory that the obtained criteria are much less conservative than existing ones. Finally, two illustrative examples, the second one being a laboratory-scale rig, are elaborated on to demonstrate the effectiveness of the proposed design method. Both numerical and simulation results appear favorable to this novel network control system synthesis.
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The problem of guaranteed cost control for a class of networked control systems possessing uncertainties, network delays, and packet dropouts is solved in this paper. By means of introducing an auxiliary variable, a newly coupled, switched system model is derived first. Then, based on a predictive network control scheme, the conditions for guaranteed control performance of the overall system in terms of linear matrix inequalities are given. Next, a novel control design method, involving convex optimization technique to find solutions for the controllers that vary according to network delays and data-dropouts, is developed. It is shown from theory that the obtained criteria are much less conservative than existing ones. Finally, two illustrative examples, the second one being a laboratory-scale rig, are elaborated on to demonstrate the effectiveness of the proposed design method. Both numerical and simulation results appear favorable to this novel network control system synthesis.
Key concepts: Networked control system, Model predictive control, Convex optimization, Control theory (sociology), Scheme (mathematics), Control system, Network packet, Linear matrix inequality