Model Predictive Control of NCS with Data Quantization and Bounded Arbitrary Time Delays

Jimin Yu,Xiaoming Tang,Yanan Xie

doi:10.1155/2015/259480

Abstract

The model predictive control for constrained discrete time linear system under network environment is considered. The bounded time delay and data quantization are assumed to coexist in the data transmission link from the sensor to the controller. A novel NCS model is specially established for the model predictive control method, which casts the time delay and data quantization into a unified framework. A stability result of the obtained closed-loop model is presented by applying the Lyapunov method, which plays a key role in synthesizing the model predictive controller. The model predictive controller, which parameterizes the infinite horizon control moves into a single state feedback law, is provided which explicitly considers the satisfaction of input and state constraints. Two numerical examples are given to illustrate the effectiveness of the derived method.

Highlights

Network control system (NCS) is feedback control systems with spatially distributed system components
Band-limited channels, quantization effects, time delay, and packet dropout are inevitable in NCS, which makes the traditional control theory cannot be directly applied to NCS
We considered the model predictive control (MPC) for constrained discrete time linear system under network environment

Summary

Introduction

Network control system (NCS) is feedback control systems with spatially distributed system components (sensors, actuators, and controllers). The work in [8] has proposed the model predictive control (MPC) strategy of system with network-induced time delays described by Markovian chains. Different from the previous paper, [10] has used a new model and provided a comprehensive approach of MPC for NCS with bounded arbitrary time delay and data packets disorder. In [16], the author studied the stabilization of NCS with data quantization and packet dropout and proposed a new model and a novel approach to tackle the issues. A synthesis approach of MPC for NCS which considers bounded arbitrary time delay and data quantization is given by generalizing the literature [10, 12]. The model predictive control for constrained discrete time linear system under network environment with bounded time delay and data quantization is considered. The symbol (∗) means the matrix is symmetrical. x(k + i | k) is the state value at k + i, which is predicted by k

Problem Statement

Modeling of NCS with Delays and Data Quantization

Stabilization of NCS via MPC

Numerical Examples

Conclusions