Sampled systems

    · Fourier series decomposition,

    · SLC1, SLC2, and SLC3 courses: plotting Bode, Black, and Nyquist diagrams, calculating continuous linear correctors, nested loops, and feedforward chains,

·         elementary calculations with the Z transform, signal transform, inverse transform, final value theorem, initial value theorem, delay theorem, etc.

·         calculations with complex numbers,

solving first- and second-order differential equations.

    Presentation of a sampled speed control system: block diagram, functions implemented in a numerical control system.

    Influence of the sampling period: influence of the sampling period on stability, destabilizing effect of sampling/blocking.

    Study of control by approximation to a continuous system: definition of the equivalent continuous system, methods for studying sampled control systems, synthesis of the p-corrector, discretization of the continuous corrector.

Z-transform: definition and properties, discrete transfer functions, real poles-complex poles.

    Temporal study of sampled servo systems: static study: accuracy, dynamic study: stability, temporal responses.

Criteria for choosing the sampling period: Shannon riterion, real poles, complex poles, phase shift due to sampling/blocking, processing time on the computer, derivation problem, influence of noise, number encoding on the microprocessor.

Experimental adjustment of sampled correctors