Paper Info
Title
Sum of squares approaches for control of continuous-time recurrent fuzzy systems
Abstract
In recent years, a concise theory of recurrent fuzzy systems has emerged and methods for utilizing these fuzzy systems with dynamics for modeling and fault detection were developed. At the same time, sum of squares decompositions in conjunction with semidefinite programming were successfully applied for the synthesis of controllers for polynomial systems. In this paper, we combine both approaches and present sum of squares based control strategies for continuous-time recurrent fuzzy systems. The system dynamics under consideration is defined by gradients at discrete points in the input-state space. An alternative description as piecewise polynomial system is possible. This motivates to utilize a controller switching between local polynomial control laws. We propose three different approaches for controller synthesis based on this idea and demonstrate this new synthesis method by means of an example. In addition, advantages and drawbacks of the approaches are discussed.
Year
DOI
Venue
2013
10.1109/MED.2013.6608733
Control & Automation
Keywords
Field
DocType
continuous time systems,control system synthesis,fuzzy control,mathematical programming,piecewise polynomial techniques,state-space methods,continuous-time recurrent fuzzy control system,controller synthesis,fault detection,input-state space,local polynomial control laws,piecewise polynomial system,semidefinite programming,sum of squares approach,sum of squares based control strategy,sum of squares decompositions,continuous-time recurrent fuzzy systems,polynomial systems,sum of squares,switched controller,fuzzy systems,pragmatics,polynomials,vectors,switches
Mathematical optimization,Control theory,Polynomial,Control theory,Fault detection and isolation,Computer science,Control engineering,System dynamics,Fuzzy control system,Explained sum of squares,Piecewise,Semidefinite programming
Conference
ISSN
ISBN
Citations 
2325-369X
978-1-4799-0995-7
2
PageRank 
References 
Authors
0.38
8
4
Name
Order
Citations
PageRank
Stefan Gering162.80
Schwung, A.220.38
Gusner, T.320.38
Jürgen Adamy413712.84