Paper Info
Title
Analysis Of Pwa Control Of Discrete-Time Linear Dynamics In The Presence Of Variable Time-Delay
Abstract
This paper focuses on the robustness problem for a specific class of dynamical systems, namely the piecewise affine (PWA) systems, defined over a bounded region of the state-space chi. We will be interested in PWA systems emerging from linear dynamical systems controlled via feedback channels in the presence of varying transmission delays by a PWA controller defined over a polyhedral partition of the state-space. We exploit the fact that the variable delays are inducing some particular model uncertainty. Our objective is to characterize the delay invariance margins: the collection of all possible values of the time-varying delays for which the positive invariance of chi is guaranteed with respect to the closed-loop dynamics. These developments can be useful for the analysis of different design methodologies and in particular for predictive control approaches. The proposed delay margins describes the admissible transmission delays for an MPC implementation. From a different perspective, it further provides the fragility margins of an MPC implementation via the on-line optimization and subject to variable computational time.
Year
Venue
Field
2016
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC)
Linear dynamical system,Control theory,Mathematical optimization,Control theory,Computer science,Model predictive control,Robustness (computer science),Dynamical systems theory,Discrete time and continuous time,Piecewise,Bounded function
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Mohammed-Tahar Laraba100.34
Sorin Olaru226747.10
Silviu-iulian Niculescu3821108.06