The considered transport systems, which possess an actuator with a spatial influence characteristic along the path, are used for of material between different process stages and conditioning conveyed goods at same time. spatially acting input results in complex input/output behaviour Single-Input Single-Output (SISO) system distributed delays. feedforward control task under consideration is defined by setpoint change subsequent stage. For controller design, inversion-based approach frequency...

In this contribution we introduce an efficient simulation scheme for a class of hyperbolic dynamic systems, which model the age-structured evolution microorganism population in bio reactor. Due to non-local boundary condition and semilinear transient behavior, standard methods like finite-differences do not lead satisfactory results, even at high approximation orders. This gives rise advanced schemes: The presented algorithm utilizes framework weighted residuals preserves crucial properties...

Abstract Through chemostat reactors, organisms can be observed under laboratory conditions. Hereby, the reactor contains biomass, whose growth controlled via dilution rate, respectively, speed of a pump. Due to physical limitations, input constraints need considered. The population density in described by hyperbolic nonlinear integro partial differential equation (IPDE) first order. steady-states and generalized eigenvalues eigenmodes these IPDE are determined. In order track desired...

This contribution focuses on the optimal design and pneumatic deformation control of thin circular plates with spatially-varying thickness. The work is motivated by pneumatically actuated deformable mirrors, which are used to compensate for wavefront disturbances in adaptive optics. To achieve required profiles high precision, equilibrium optimized respect plate's For designing an asymptotic tracking control, finite relative degree distributed parameter system exploited. Since nonlinear...

Adaptive structures in civil engineering are based on active structural elements. In this paper, an beam element is considered with potentially multiple fluidic inputs spatially distributed over the beam's length. It modeled by a one-dimensional equation. The realized as torque inputs, where proportional to pressure of fluid. A method calculate optimal input values analytically depending given static load case presented first part paper. second part, generalizing using sufficient number...

Control strategies for chemostat-reactors are important the synthesis of products with different applications. The yield depends on age-structure population synthesizing product. This structure can be influenced by dilution rate. Modeling leads to a hyperbolic first-order PDE integral boundary conditions. Both an Early- and Late-Lumping approach used design optimal control strategies. To approximate nonlinear system Galerkin's is eigenmodes linear steady-state as ansatz functions. Through...

As the public call for increasing efforts in achieving global climate protection goals intensifies, discussions about efficient use of resources and energy are on daily agenda. many other areas, industry has seen itself facing growing concerns long neglected environmental aspects. Since a large proportion production is used by pneumatic drives, this survey paper exclusively focuses pneumatics handling automation technology presents most common components, followed multiple model-based...

The transport systems considered in this paper are conveyor belts or conduit systems, which mainly used for two operational tasks. first objective is the transportation of goods between subsequent process stages, second one conditioning transported by a spatially acting control input along path. task under consideration defined setpoint change stage constrained input. To obtain desired properties at end path, an optimal feedforward approach developed.

This article analyzes a class of distributed parameter systems, which consist boundary-controlled partial differential equation (PDE) and static boundary-value problem (BVP) generating the measured output. We focus on steady-state reachability given output profiles construct corresponding input signals using modal decomposition techniques. Furthermore, we identify PDE modes contribute to establish state estimates. An Euler-Bernoulli beam that deforms under thermal load is chosen as an...

Zusammenfassung Thermische Effekte limitieren die Leistungsskalierbarkeit in Hochleistungsscheibenlasern und können durch konstruktive Maßnahmen nur bedingt reduziert werden. Ein neuartiger Ansatz zur Kompensation der thermisch induzierten wird den resonatorinternen Einsatz hochleistungstauglicher adaptiver Spiegel ermöglicht. In diesem Beitrag werden hierfür zwei mögliche Technologien vorgestellt charakterisiert: Während pneumatisch aktuierte Flächenlastspiegel eine gezielte bekannter...

The optimal control of chemostat reactors is relevant for the commercial manufacture products in industrial plants. microorganisms reactor produce different amounts product depending on their age structure. In order to optimally affect this structure, concentration nutrient solution can be varied. modeling population leads a hyperbolic semi-linear PDE first with integral boundary conditions. calculate an control, Early- as well Late-Lumping approach used. For discretization system finite...

In this article, we derive a mechanical distributed parameter model for the annular sector plate segments of Extremely Large Telescope's deformable mirror M4. Additionally, modally analyse derived via analytical and numerical approaches. The M4 is used to reject wavefront disturbances enhance optical imaging quality. We present control oriented Kirchhoff–Love featuring an elastic boundary condition its modal analysis one six identical segments. Subsequently, show that well-known method...

Thermal lensing limits the beam quality of high-power lasers and evokes setpoint-dependent disturbances. Since these effects cannot be corrected outside resonator, intra-cavity deformable mirrors stand to reason. Based on a Gaussian cavity disturbance model with distributed parameters, we derive discrete-time estimation scheme. Due nonlinearities optical system, estimating predicting is crucial in order construct proper compensation. The presented recursive optimization-based approach...