Browse wiki
From MurrayWiki
An Iterative Abstraction Algorithm for Reactive CorrectbyConstruction Controller Synthesis 
Abstract 
In this paper, we consider the problem of … In this paper, we consider the problem of synthesizing correctbyconstruction controllers for discretetime dynamical systems. A commonly adopted approach in the literature is to abstract the dynamical system into a finite transition system (FTS) and thus convert the problem into a two player game between the environment and the system on the FTS. The controller design problem can then be solved using synthesis tools for general linear temporal logic or generalized reactivity(1) (GR1) specifications. In this article, we propose a new abstraction algorithm. Instead of generating a single FTS to represent the system, we generate two FTSs, which are underand overapproximations of the original dynamical system. We further develop an iterative abstraction scheme by exploiting the concept of winning sets, i.e., the sets of states for which there exists a winning strategy for the system. Finally, the e�ciency of the new abstraction algorithm is illustrated by numerical examples. ithm is illustrated by numerical examples. +


Authors  Robert Mattila, Yilin Mo and Richard M. Murray + 
Funding  ICyPhy: Industrial CyberPhysical Systems + 
ID  2014j + 
Source  Submitted, 2015 International Conference on Hybrid Systems: Computation and Control (HSCC) + 
Tag  mmm15hscc + 
Title  An Iterative Abstraction Algorithm for Reactive CorrectbyConstruction Controller Synthesis + 
Type  Conference Paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:14:41 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/mmm15hscc_s.pdf + 
hide properties that link here 
An Iterative Abstraction Algorithm for Reactive CorrectbyConstruction Controller Synthesis +  Title 
