This paper deals with the optimal and safe operation of jacketed tubular reactors. Despite the existence of advanced distributed controllers, optimal steady-state reference profiles to be tracked are often unknown. In...
详细信息
This paper deals with the optimal and safe operation of jacketed tubular reactors. Despite the existence of advanced distributed controllers, optimal steady-state reference profiles to be tracked are often unknown. In Logist et al. [2008], a procedure which combines analytical and numerical optimal control techniques, has been proposed for deriving optimal analytical (and thus generic) references, and it has been illustrated for plug flow reactors. The aim of this paper is to illustrate the general applicability of this procedure by allowing dispersion. As dispersion significantly complicates a possible solution process (due to second-order derivatives and split boundary conditions), hardly any generic results are known. Nevertheless, the dispersive plug flow reactor model is important for practice, since varying the dispersion level allows to mimic an entire reactor range, i.e., from plug flow to perfectly mixed reactors. As an example a jacketed tubular reactor in which an exothermic irreversible first-order reaction takes place is adopted. It is shown that the procedure yields generic reference solutions for ( i ) three different cost criteria, and ( ii ) different dispersion levels.
Taking the advantages of the properties of the differentiability of differentiable orthogonal functions, such as the Chebyshev function sequences, we can apply differential operation matrices, instead of the correspon...
详细信息
ISBN:
(纸本)0889864365
Taking the advantages of the properties of the differentiability of differentiable orthogonal functions, such as the Chebyshev function sequences, we can apply differential operation matrices, instead of the corresponding integral operation matrices, to the solution of the optimal control of distributed-parameter systems. The advantage of this method is that we can solve the optical control problems through differential operations and obtain an analytical linear presentation of the optimal solutions. As we know, the operation process based on the method of integral operations for solving such problems is quite sophisticated and tedious. The method based on differentiable orthogonal functions presented in this paper can greatly simplify the solution process and avoid such complex work and the solution results are quite satisfactory. The proposed method of the differentiable function sequences approach for the solution in this paper avoids tedious integral operations and is characterized by directness and feasibility.
Use of flexible link robots is motivated by applications featuring lightweight or long arms. However, the control problem faces strong technical challenges resulting from the complex dynamics. In this paper, the virtu...
详细信息
Use of flexible link robots is motivated by applications featuring lightweight or long arms. However, the control problem faces strong technical challenges resulting from the complex dynamics. In this paper, the virtual decomposition control (VDC) approach is applied for the first time to address the technical challenges of this thorny problem mainly resulting from the dynamic coupling effects among flexible links. In view of the VDC approach, the control problem of a multiple-flexible-link robot is no more complex than the control problem of individual flexible links subject to kinematics constraints. A planar beam governed by Euler-Bernoulli equation is studied as an example for simplicity. A possible extension to robots with multiple flexible links is theoretically possible by creating appropriate virtual power flows at the two ends of each beam. The validity of the theoretical results is verified by simulations with respect to two typical space systems in planar motion.
The problem of determining an optimal measurement scheduling for identification of unknown parameters in distributedsystems described by partial differential equations is discussed. The discrete- scanning observation...
详细信息
The problem of determining an optimal measurement scheduling for identification of unknown parameters in distributedsystems described by partial differential equations is discussed. The discrete- scanning observations are performed by an optimal selection of measurement data from spatially fixed sensors. In the adopted approach, the sensor scheduling problem is converted to a constrained optimal control problem. In this framework, the control value represents the selected sensor configuration. Thus the control variable is constrained to take values in a discrete set and switchings between sensors may occur in continuous time. By applying the control parameterization enhancing transform technique, a computational procedure for solving the optimal scanning measurement problem is obtained. The numerical scheme is then tested on a computer example regarding an advection- diffusion problem.
Problems of constructing linear and polynomially nonlinear mathematical models are solved for distributed space-time processes with discretely-continuously observable states under distributed space-time perturbations ...
详细信息
Problems of constructing linear and polynomially nonlinear mathematical models are solved for distributed space-time processes with discretely-continuously observable states under distributed space-time perturbations that create such states. The cases of exact and optimal (with respect to the mean-square criterion) identification of kernels of such models are considered. The identifiability conditions are specified for the process and accuracy conditions are established for its mathematical models.
This work introduces modal model predictive control (MMPC) design methodology in the framework of optimal actuation policies which arise due to the presence of input and state constraints for a class of distributed pa...
详细信息
ISBN:
(纸本)9781424409884
This work introduces modal model predictive control (MMPC) design methodology in the framework of optimal actuation policies which arise due to the presence of input and state constraints for a class of distributedparametersystems modeled by parabolic PDEs. The predictive control law accounts for input and state constraints and with respect to actuator/sensor position placement it generates an optimal actuation policy that switches applied control action among available pre-specified actuator locations. The proposed constrained predictive control law utilizes a low order modal representation in the optimization functional while higher modes are included only in the PDE state constraints. Accordingly, the proposed control law is formulated by the minimization algorithm whereby optimization is performed over all available preset collocated actuator/sensor positions. In this sense, the minimizing algorithm provides a control law that chooses among best collocated actuator/sensor positions available with respect to the lowest optimal cost among these positions. An example of a diffusion-reaction process, with spatially-uniform unstable steady state, subject to flux boundary conditions is considered.
In this paper we develop new results on control systems design for spatially distributed linear systems using an n -D systems approach. The basic ideas are explained using as an example heat conduction in a rod where ...
详细信息
In this paper we develop new results on control systems design for spatially distributed linear systems using an n -D systems approach. The basic ideas are explained using as an example heat conduction in a rod where the measurements and control action applied are based on an array of sensors and heaters. The first part of the analysis given shows how the process dynamics for this case can be approximately described by a 2-D transfer function, i.e. a fraction of two bivariate polynomials. This is followed by stability analysis and tests. Finally, a Youla-Kucera parametrization of all stabilizing controllers is used to develop a simple design procedure for H 2 -optimal control laws.
An approach to modeling and optimization of controlled dynamical systems with distributed elastic and inertial parameters is considered. The general method of integrodifferential relations (IDR) for solving a wide cla...
详细信息
Optimal steady-state temperature profiles for jacketed tubular reactors often exhibit a trapezoidal shape along the reactor, i.e., first an increase, then a constant part and finally a decrease (Smets et al. , 2002; L...
详细信息
Optimal steady-state temperature profiles for jacketed tubular reactors often exhibit a trapezoidal shape along the reactor, i.e., first an increase, then a constant part and finally a decrease (Smets et al. , 2002; Logist et al. , 2006&). The practical realisation of these reactor temperature profiles is complex given the (infinite dimensional) spatially varying jacket fluid temperature profile required for the constant reactor temperature part. Therefore, based on simulations this paper compares two practically feasible alternatives with a near-optimal performance. The first splits the jacket into a finite number of isothermal zones. The second considers a flow reversal strategy, which also induces trapezoidally shaped temperature profiles (Logist et al. , 2006a).
A stability result for locally-controlled, interconnected, distributed-parameter systems (DPS) is developed. Using a special perturbation operator, exponential stability is shown to be a function of both the value of ...
详细信息
A stability result for locally-controlled, interconnected, distributed-parameter systems (DPS) is developed. Using a special perturbation operator, exponential stability is shown to be a function of both the value of the perturbation operator and the characteristics of the interconnected DPS. Proof of the bound is shown using the expansion of the matrix operator and the solution vector through a set of gauge functions. Each expansion term is power matched and individually bound using stationary phase methods. Special consideration is given to interconnected systems of a structural dynamic nature.
暂无评论