Optimal control of batch electrochemical reactor using K-L expansion

  title={Optimal control of batch electrochemical reactor using K-L expansion},
  author={X. Zhou and Xin-sheng Zhang and X. Wang and Yin-Chun Dai and W. Yuan},
  journal={Chemical Engineering Science},
Abstract A control vector parameterization approach using the Karhunen–Loeve (K–L) expansion for optimal control is presented. Optimal control profiles at different initial conditions are represented by a truncated K–L expansion and the optimal control is thus transformed into a parametric optimization with the K–L coefficient(s) as the optimization variable(s). Closed-loop optimal control therefore becomes feasible because the number of optimization variables is minimized. The presented… Expand
7 Citations
Evaluation and improvement of dynamic optimality in electrochemical reactors
Abstract A systematic approach for the dynamic optimization problem statement to improve the dynamic optimality in electrochemical reactors is presented in this paper. The formulation takes anExpand
Dynamic optimization of electrochemical reactors for the exact optimal control of consecutive electrochemical reactions
The kinetics, mass transfer, surface dynamics and double layer charging of consecutive electrochemical reactions have been investigated so as to set up a complete formulation and dynamic optimizationExpand
Optimal time-varying potential profile for electro-hydro-dimerization reactions
Abstract Optimal time-varying potential profile for batch electrochemical reactor is evaluated for a major industrial electro-organic synthesis, the electro-hydro-dimerization of acrylonitrile toExpand
Explicit solutions to optimal control problems for constrained continuous-time linear systems
An algorithmic framework is presented for the derivation of the explicit optimal control policy for continuous-time linear dynamic systems that involve constraints on the process inputs and outputs.Expand
Model order reduction of nonlinear parabolic PDE systems with moving boundaries using sparse proper orthogonal decomposition: Application to hydraulic fracturing
Sparse proper orthogonal decomposition (SPOD)-Galerkin methodology is introduced that exploits the key features of ridge and lasso regularization techniques for the model order reduction of nonlinear parabolic partial differential equation systems with time-varying spatial domains. Expand
Order‐reduction of parabolic PDEs with time‐varying domain using empirical eigenfunctions
A novel methodology for the order-reduction of parabolic partial differential equation (PDE) systems with time-varying domain is explored. In this method, a mapping functional is obtained, whichExpand


Methodology of dynamic optimization and optimal control of batch electrochemical reactors
Abstract This paper presents a methodology of dynamic optimization and optimal control of a batch electrochemical reactor where a series of two reactions A⇌B⇌D takes place. The optimization problemExpand
Modeling of a fixed-bed reactor using the K-L expansion and neural networks
Abstract Karhunen-Loeve expansion and feedforward neural networks are combined together in modeling a wall cooled fixed-bed reactor for its on-line performance prediction. The K-L expansion isExpand
Reactor engineering models of complex electrochemical reaction schemes—I. Potentiostatic operation of parallel and series reactions in ideal reactors
Abstract Mathematical models of complex electrochemical reaction schemes are developed in which mass transport of reactant and products at the electrode surface plays an important part in describingExpand
Model identification of a spatiotemporally varying catalytic reaction
The occurrence of instabilities in chemically reacting systems, resulting in unsteady and spatially inhomogeneous reaction rates, is a widespread phenomenon. In this article, we use nonlinear signalExpand
Boundary identification and control of distributed parameter systems using singular functions
Abstract Singular functions are fundamental properties that capture the spatial nature of distributed parameter systems (DPS). This paper presents a framework for the dynamic identification ofExpand
Solution of a Class of Multistage Dynamic Optimization Problems. 2. Problems with Path Constraints
This paper considers the treatment of general equality and inequality path constraints in the context of the control vector parametrization approach to the optimization of dynamic systems describedExpand
The use of the Karhunen-Loève decomposition for the modeling of distributed parameter systems
Abstract The Karhunen-Loeve decomposition is used to obtain low-dimensional dynamic models of distributed parameter systems. The Karhunen-Loeve decomposition is a technique of obtaining empiricalExpand
Identification of full profile disturbance models for sheet forming processes
In this article we present a method for the on-line identification and modeling of full profile disturbance models for sheet forming processes. A particular principal components analysis techniqueExpand
Advanced process control
This chapter explores both run-by-run and supervisory process control strategies. Such advanced process control techniques are required more and more for increasingly sophisticated modernExpand
Nonlinear signal processing and system identification: applications to time series from electrochemical reactions
Abstract We show how nonlinear signal processing techniques can be used for extracting simple dynamic models from complex experimental time series. A neural network analysis is applied toExpand