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Closed-loop model for general multirate digital control systems

Closed-loop model for general multirate digital control systems

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The paper develops a model for a closed-loop digital control system that incorporates multirate sampling with dynamic compensation. The model completely represents system behaviour at a base sampling rate and at the integral multiple sampling rates in the system. A key feature of the model is that sampling rates can be modified conveniently, without significantly changing the structure of the model. Based on the multirate closed-loop system model, frequency-domain transfer characteristics of the system are developed. These functions are presented in such a way that the performance of different sampling regimes can be compared directly. The eigenvalues of the closed-loop system are also defined so that effects of sampling rate variation may be investigated. An example is included to illustrate use of the model

Inspec keywords: frequency-domain analysis; sampled data systems; closed loop systems; eigenvalues and eigenfunctions; transfer functions; multivariable control systems

Other keywords: multirate closed-loop system model; eigenvalues; frequency-domain transfer characteristics; multirate digital control systems; dynamic compensation; multirate sampling; sampling rates

Subjects: Control system analysis and synthesis methods; Multivariable control systems; Algebra; Discrete control systems

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