Title :
MLD form based design of piecewise affine systems with specified symbolic dynamics
Author :
Tanaka, Hiroto ; Nakayama, Hideki ; Ushio, Toshimitsu
Author_Institution :
Graduate Sch. of Eng. Sci., Osaka Univ., Japan
Abstract :
In this paper, we focus on piecewise affine (PWA) systems. In PWA systems, the state space is partitioned into several regions and in each region, system behavior is described by an affine equation. We will call each region a mode. It is well-known that PWA systems can be expressed by mixed logical dynamical (MLD) systems. We will propose a design method for PWA systems with specified symbolic dynamics, where specified periodic mode transitions exhibit. Constant terms in PWA systems are taken as design parameters, and by determining configuration of an equilibrium of the affine equation in each mode, we construct PWA systems satisfying the specifications. We will apply the proposed method to the design of a continuous-time switching network as an example.
Keywords :
continuous time systems; control system analysis; nonlinear dynamical systems; piecewise linear techniques; state-space methods; continuous-time switching network; mixed logical dynamical systems; periodic mode transitions; piecewise affine systems; specified symbolic dynamics; state space; Calculus; Control system analysis; Control systems; Damping; Design engineering; Design methodology; Equations; Nonlinear dynamical systems; Nonlinear systems; State-space methods;
Conference_Titel :
Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
Print_ISBN :
0-7803-8346-X
DOI :
10.1109/MWSCAS.2004.1354231
