---
abstract: 'Periodic control systems used in spacecrafts and automotives are usually period-driven and can be decomposed into different modes with each mode representing a system state observed from outside. Such systems may also involve intensive computing in their modes. Despite the fact that such control systems are widely used in the above-mentioned safety-critical embedded domains, there is lack of domain-specific formal modelling languages for such systems in the relevant industry. To address this problem, we propose a formal visual modeling framework called as a concise and precise way to specify and analyze such systems. To capture the temporal properties of periodic control systems, we provide, along with , a property specification language based on interval logic for the description of concrete temporal requirements the engineers are concerned with. The statistical model checking technique can then be used to verify the models against desired properties. To demonstrate the viability of our approach, we have applied our modelling framework to some real life case studies from industry and helped detect two design defects for some spacecraft control systems.'
author:
- |
    Zheng Wang$^{1, 5}$, Geguang Pu$^{1}$, Shenchao Qin$^{2}$, Jianwen Li$^{1}$,\
    Kim G. Larsen$^{3}$, Jan Madsen$^{4}$, Bin Gu$^{5}$, Jifeng He$^{1}$
bibliography:
- 'main.bib'
title: |
     : A Mode Diagram Modeling Framework for\
    Periodic Control Systems 
---

$^{1}$ [<wangzheng@sei.ecnu.edu.cn>]{}, [<ggpu@sei.ecnu.edu.cn>]{},\
Shanghai Key Laboratory of Trustworthy Computing,\
East China Normal University\
$^{2}$ [<s.qin@tees.ac.uk>]{}, University of Teesside\
$^{3}$ [<kgl@cs.aau.dk>]{}, Aalborg University of Denmark\
$^{4}$ [<jan@imm.dtu.dk>]{}, Technical University of Denmark\
$^{5}$ [<gubin88@yahoo.com.cn>]{}, Beijing Institute of Control Engineering

intro.tex

lang.tex

property.tex

verification.tex

experiment.tex

related.tex
