Title :
A toolbox for computational analysis of piecewise linear systems
Author :
Hedlund, Sven ; Johansson, Mikael
Author_Institution :
Dept. of Autom. Controlm, Lund Inst. of Technol., Lund, Sweden
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
This paper reports the development of a Matlab toolbox for computational analysis of piecewise linear systems. The analysis is based on piecewise quadratic Lyapunov functions, which are computed via convex optimization. In this way, exponential stability and system performance can be assessed. The toolbox also supports efficient simulation of systems with discontinuous dynamics and sliding modes. A set of intuitive commands for describing piecewise linear systems is included, making the analysis routines easily accessible also for the inexperienced user.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; convex programming; linear systems; variable structure systems; Matlab toolbox; convex optimization; discontinuous dynamics; exponential stability; piecewise linear system; piecewise quadratic Lyapunov function; sliding modes; Data structures; Linear systems; Lyapunov methods; MATLAB; Relays; Stability analysis; Switches; LMIs; piecewise linear system; toolbox;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5