An Exact Analysis of Sampled-data Systems with Finite Sampling Time |
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analysis of sampled-data analyzed in Section associated algebra c₂ c₂(m C₂(s Chapter characteristic equation Ck(s coefficients conditions on G(s considered cz(t di(K difference equations due to C₁(s e-aT elementary functions evaluated F s,K F₁ F₁[s F₂ Farmanfarma Figure finite sampling finite width pulses forward link G₁ G₁(s Ga(s Gp(s Graphical representation h₁-L h₂ initial conditions input interval KT K₁ K₂ Laplace transform taken limit cycle linear functions m₁ modified z-transform obtained open-loop system output of sampler P₁ p₁(K P₂ periodic samplers ph function ph² pi(K Po{e poles of G(s polynomials pulses of varying respect to t₁ response of G₂ S1 and S2 S₂ sampled-data control systems sampled-data systems sampler S2 Section 3.3 shown in Fig single-sampler system system analyzed system of Fig systems with finite t-KT taken with respect thesis two-sampler closed-loop system two-sampler system unknown functions variable written zero