Frequency-domain analysis of aperiodic control loops with identically distributed delays. (English) Zbl 1520.93340
Summary: Extending classical frequency domain analysis to systems with time-varying delays remains a challenge in the systems and control field. These systems are receiving a renewed interest due to emergent control applications in which the use of shared communication and computation resources induce severe time-varying delays in the loop. Here, an extension of frequency domain analysis is proposed for aperiodic control loops with time-varying delays, assumed to be independent and identically distributed and to follow an exponential distribution. In aperiodic control loops, the actuation is updated immediately after a delayed sensor measurement arrives at the controller. In the present framework, the amplitudes of expected values and variances of output responses to sinusoidal inputs are plotted as a function of the input frequency. This plot allows for inferring the behavior of the response to general input signals. The usefulness of the results is illustrated in the control of a double integrator with delayed measurements.
MSC:
| 93C80 | Frequency-response methods in control theory |
| 93C43 | Delay control/observation systems |
| 93E03 | Stochastic systems in control theory (general) |
Keywords:
frequency-response methods; delay analysis; stochastic analysis; communication networks; frequency domains; analysis of variance; closed-loop transfer functions; computer controlled systemsReferences:
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