IEEE Transactions on Automatic Control · 2005 · 744 citations · 49 references
Natural SciencesCommunicationSystems EngineeringComputer NetworksOptimizationSystems ModelingControl Of Dynamical SystemsControl SystemsControl TheoryOptimal ControlStochastic ControlStochastic NetworksControl System ModelingDiscrete-time Control SystemsFeedback Loop ModelingNetwork Control TheoryNetworked Control SystemsNetworked Vehicle ControlOptimal Control Of Stochastic SystemsStochastic Optimal Control
The paper investigates how networked communication affects control system performance. The authors model packet loss with a stochastic Markovian process and use H∞ norm analysis via matrix inequalities to derive LMI conditions for optimal controller synthesis in discrete‑time jump systems. Applying the derived conditions, the study demonstrates how communication losses impact vehicle control performance.
In this paper, we study the effect of a network in the feedback loop of a control system. We use a stochastic packet-loss model for the network and note that results for discrete-time linear systems with Markovian jumping parameters can be applied. We measure performance using an H/sub /spl infin// norm and compute this norm via a necessary and sufficient matrix inequality condition. We also derive necessary and sufficient linear matrix inequality (LMI) conditions for the synthesis of the H/sub /spl infin// optimal controller for a discrete-time jump system. Finally, we apply these results to study the effect of communication losses on vehicle control.
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