Paper Info
Title
Formal Non-Fragile Stability Verification of Digital Control Systems with Uncertainty.
Abstract
A verification methodology is described and evaluated to formally determine uncertain linear systems stability in digital controllers with considerations to the implementation aspects. In particular, this methodology is combined with the digital-system verifier (DSVerifier), which is a verification tool that employs Bounded Model Checking based on Satisfiability Modulo Theories to check the stability of digital control systems with uncertainty. DSVerifier determines the control system stability, considering all the plant interval variation set, together with the Finite Word-length (FWL) effects in the digital controller implementation; DSVerifier checks the robust non-fragile stability of a given closed-loop system. The proposed methodology and respective tool are evaluated considering non-fragile control examples from literature. Experimental results show that the approach used in this study is able to foresee fragility problems in robust controllers, which could be overlooked by other existing approaches due to underestimating of FWL effects.
Year
DOI
Venue
2017
10.1109/TC.2016.2601328
IEEE Trans. Computers
Keywords
Field
DocType
Stability analysis,Robustness,Uncertainty,Computational modeling,Model checking,Control systems,Transfer functions
Discrete mathematics,Model checking,Linear system,Control theory,Computer science,Real-time computing,Robustness (computer science),Formal methods,Control system,Digital control,Satisfiability modulo theories,Bounded function
Journal
Volume
Issue
ISSN
66
3
0018-9340
Citations 
PageRank 
References 
8
0.54
18
Authors
5
Name
Order
Citations
PageRank
Iury Bessa1569.37
Hussama Ismail2606.65
Reinaldo M. Palhares346741.12
Lucas Cordeiro436038.38
Joao Edgar Chaves Filho5364.35