Abstract
The insertion of data network in the feedback adaptive control loops makes the analysis and design of networked control systems more complex than traditional control systems. This paper addresses the adaptive stabilization problem of linear time-invariant networked control systems when the measurements of the plant states are corrupted by bounded disturbances. The case of state feedback is treated in which only an upper bound on the norm of matrix A is needed. The problem is to find an upper bound on the transmission period h that guarantees the stability of the overall adaptive networked control system under an ideal transmission process, i.e. no transmission delay or packet dropout. Rigorous mathematical proofs are established, that relies heavily on Lyapunov's stability criterion and dead-zone Technique. Simulation results are given to illustrate the efficacy of our design approach.
Highlights
In recent years, the discipline of networked control systems has become a highly active research field
The dead-zone idea can be used to prevent the instability by switching off the adaptation algorithm when the resulting error is smaller than a certain threshold
Our objective is to design an adaptive stabilizer for the networked system in the presence of bounded disturbance, and to find an upper bound on the time transmission period h such that the NCS is still stable
Summary
The discipline of networked control systems has become a highly active research field. An NCS is a control system in which a data network is used as feedback media. The insertion of the data network in the feedback control loop makes the analysis and design of an NCS more and more complex, especially for adaptive systems in which systems parameters not completely known.
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