Title
Compositional Synthesis for Symbolic Control.
Abstract
Symbolic control aims at designing "correct by construction" controllers for continuous dynamical systems, by using algorithmic discrete synthesis techniques. The key concept in symbolic control is that of symbolic model (also called finite abstraction), which is a finite-state dynamical system, obtained by abstracting continuous trajectories over a finite set of symbols. When the symbolic and the continuous dynamics are formally related by some behavioral relationship (e.g. simulation or bisimulation relations), controllers synthesized for the symbolic model using discrete synthesis techniques can be refined to certified controllers for the original continuous system. Computation of finite abstractions is often based on discretization of the state and input spaces and therefore the symbolic control approach suffers from scalability issues. However, the design of large systems can still be tackled by means of compositional techniques. In this talk, we will present some recent results on compositional synthesis in the symbolic control approach. Firstly, we will present an approach to compute abstractions of systems made of several, possibly overlapping components. Secondly, we will show how to synthesize decentralized (and possibly asynchronous) controllers for invariance properties, by combining these overlapping abstractions and assume-guarantee contracts. In the last part of the talk, motivated by the use of parametric assume-guarantee contracts for stability properties, we will show recent developments on abstraction-based quantitative synthesis.
Year
DOI
Venue
2018
10.1145/3178126.3196957
HSCC
Keywords
Field
DocType
Symbolic control, abstraction, compositional synthesis, quantitative synthesis
The Symbolic,Discretization,Asynchronous communication,Finite set,Computer science,Theoretical computer science,Dynamical systems theory,Bisimulation,Dynamical system,Scalability
Conference
ISBN
Citations 
PageRank 
978-1-4503-5642-8
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Antoine Girard11937117.56