Stability Analysis of Network-Based Control Systems Subject to Jitter of Sampling Rates and Time Delays

In the network-based control systems, the insertion of the communication network introduces time varying delays in the control loop, the application of dynamic bandwidth allocation/scheduling techniques may introduce varying sampling rates for each control loop, varying sampling rates and time delays may degrade the stability of control loops. This paper represents these bounded time uncertainty as a discrete-time closed-loop interval matrix, and derives a robust sufficient stability condition based on evaluating the norm of a time invariant matrix. Simulations show that our result is simple and efficacious.