Separation principle for networked control systems with multiple-packet transmission

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Separation principle for networked control systems with multiple-packet transmission

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The authors investigate a class of observer-based discrete-time networked control systems (NCSs) with multiple-packet transmission where random packet dropouts occur independently in both the sensor-to-controller (S/C) and controller-to-actuator (C/A) channels. The authors first propose and prove the separation principle for the NCSs where packet dropouts in the C/A and S/C channels are governed by two independent Markov chains, respectively. Secondly, the authors derive a sufficient condition, in terms of linear matrix inequalities (LMIs), for stabilisation control of the Markov chain-driven NCSs. The authors also derive the necessary and sufficient condition for stabilisation control of the memoryless process-driven NCSs as a special case. A numerical example is provided to illustrate the effectiveness of our method.

Inspec keywords: networked control systems; sensors; telecommunication control; observers; actuators; Markov processes; linear matrix inequalities; telecommunication channels; stability; discrete time systems

Other keywords: multiple packet transmission; sensor-to-controller channel; observer based discrete time control system; controller-to-actuator channel; networked control system; stabilisation control; random packet dropout; Markov chain; linear matrix inequality

Subjects: Other control applications in telecommunications; Markov processes; Discrete control systems; Algebra; Stability in control theory

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