Quadratic Programming in Model Predictive Control for Large Scale Systems
نویسندگان
چکیده
Model Predictive Control(MPC) is widely used, especially in the chemical process industry. Model Predictive Controllers calculate the optimal control inputs at each time step, based on past information, a plant model, a quadratic objective and given constraints. Typically this involves solving a large linearly constrained quadratic program(LCQP) at each time step. Standard methods turn out to be too slow to calculate the desired inputs in time, i.e. each sampling instant. By exploiting the structure of the LCQP, specific methods for solving the QP’s in MPC were developed recently. We will compare these methods with classical QP solvers and show their necessity when controlling large systems from the example of a high density polyethylene production plant. Copyright c 2002 IFAC
منابع مشابه
A conic quadratic model for supply chain network design under hub, capacity, delay and lost sale
In this paper, mathematical models are proposed for simultaneously modeling location and inventory control decisions in a four echelon supply chain network considering capacity. The echelons considered in this paper include suppliers, warehouses, hubs and retailers. The aim of the model is to minimize the location, transportation and inventory control costs. Hence, a non-linear mixed integer pr...
متن کاملAn Integer Programming Model and a Tabu Search Algorithm to Generate α-labeling of Special Classes of Quadratic Graphs
First, an integer programming model is proposed to find an α-labeling for quadratic graphs. Then, a Tabu search algorithm is developed to solve large scale problems. The proposed approach can generate α-labeling for special classes of quadratic graphs, not previously reported in the literature. Then, the main theorem of the paper is presented. We show how a problem in graph theory c...
متن کاملDecentralized Advanced Model Predictive Controller of Fluidized-Bed for Polymerization Process
The control of fluidized-bed operations processes is still one of the major areas of research due to the complexity of the process and the inherent nonlinearity and varying dynamics involved in its operation. There are varieties of problems in chemical engineering that can be formulated as NonLinear Programming (NLPs). The quality of the developed solution significantly affects the performa...
متن کاملRobust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملConstrained Controller Design for Real-time Delay Recovery in Metro Systems
This study is concerned with the real-time delay recovery problem in metro loop lines. Metro is the backbone of public transportation system in large cities. A discrete event model for traffic system of metro loop lines is derived and presented. Two effective automatic controllers, linear quadratic regulator (LQR) and model predictive controller (MPC), are used to recover train delays. A newly-...
متن کامل