Control strategies for front stabilization in a tubular reactor model

Feedforward and Feedback Tracking Control of Diffusion-Convection-Reaction Systems using Summability Methods

“…The proposed flatness-based control scheme with state feedback and observer provides robust trajectory tracking in particular for low and medium P e-numbers (≤ 10), whereby high P e-numbers restrict its applicability. Note that this is a quite common drawback of existing feedback control schemes for DCR-systems as is pointed out by Panfilov and Sheintuch (2001) regarding the work of Christofides (2001); Antoniades and Christofides (2001). On the other hand as illustrated in Section 4.4.2, using the determined feedforward tracking control in conjunction with appropriate summation techniques, provides very accurate trajectory tracking in the nominal case also under severe conditions characterized by high P e and Le numbers.…”

“…Note that throughout the literature on control of tubular reactors, usually low and unrealistic P e-numbers are employed (among others e.g. by Christofides (2001) or Antoniades and Christofides (2001) as summarized in Panfilov and Sheintuch (2001)), whereby obviously the proposed approach for feedforward control design is applicable for wide parameter ranges. The rather large overshoot in the y 2 trajectory in Figure 4.10 for the considered severe case with high Peclet-and Lewis-numbers is thereby due to the choice of constant summation parameters ξ and k over the transition interval.…”

Flatness-Based Tracking Control for Parabolic Distributed-Parameter Systems with Boundary Input (Flachheitsbasierte Folgeregelung für parabolische verteilt-parametrische Systeme mit Randeingriff)

“…As can be clearly deduced from (28), the sets of admissible system parameters {Pe, p 1 , p 2 , p 3 } and trajectory parameters {M, R} are rather limited and usually outside a practically relevant range as can be seen in Fig. 1.…”

“…Note that throughout the literature on control of tubular reactors, usually low and unrealistic Pe-numbers are em-381 Brought to you by | University Library Technische Universitaet Muenchen Authenticated Download Date | 7/2/15 9:04 PM ployed (e. g. by [8] as is summarized in [28]). Obviously the proposed feedforward control design approach is applicable for wide parameter ranges.…”

A Simple Feedback Control Approach for Output Modulation of Spatiotemporal Patterns in a Class of Tubular Reactors

“…37 On the other hand, thermal fronts depend on the propagation velocity of the thermal front. 17 • The BZ reaction in the tubular reactor is described by RD equations. RD equations can describe numerous phenomena in biology, ecology, and chemistry 4,9,10 (for instance, prey−predator models, biomedical models, and various models in epidemiology 33 ).…”