Paper Info
Title
Stability Analysis and Control Design of Discrete-Time Switched Affine Systems.
Abstract
This technical note focuses on stability analysis and control design of switched affine systems in discrete-time domain. The stability conditions are obtained by taking into account that the system trajectories, governed by a certain switching function, converge to a set of attraction V containing a desired equilibrium point. These conditions follow from the adoption of a general quadratic Lyapunov function whose time variation is bounded above by a concave-convex function with center determined by minimax theory. Our main contribution is to provide a stabilizing state feedback switching function and an invariant set of attraction V * with minimum volume as far as this class of quadratic Lyapunov functions is adopted. The results are applied to sampled-data control of continuous-time switched affine systems with chattering avoidance. The speed control of a DC motor is presented.
Year
DOI
Venue
2017
10.1109/TAC.2016.2616722
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Switches,Lyapunov methods,Trajectory,Stability analysis,Asymptotic stability,Symmetric matrices,Upper bound
Affine transformation,Lyapunov equation,Mathematical optimization,Upper and lower bounds,Control theory,Bounded set,Stability conditions,Exponential stability,Invariant (mathematics),Discrete time and continuous time,Mathematics
Journal
Volume
Issue
ISSN
62
8
0018-9286
Citations 
PageRank 
References 
3
0.41
11
Authors
2
Name
Order
Citations
PageRank
Grace S. Deaecto113015.29
José Claudio Geromel216436.34