Invariant Sets for a Class of Hybrid Systems
نویسنده
چکیده
Technical reports from the Automatic Control group in Linkk oping are available by anonymous ftp at the address ftp.control.isy.liu.se. This report is contained in the compressed postscript le 2025.ps.Z. Abstract A method for computing invariant sets of piecewise aane systems is presented. The method is based on convex optimization techniques and linear matrix inequalities. We show how to compute invariant ellipsoids, quadratic cones, and paraboloids for aane systems which contain initial sets of diierent form such as polytopes, ellipsoids, and degenerate ellipsoids. An invariant set for a piecewise aane system can be computed by an iterative procedure that utilizes these types of computations.
منابع مشابه
Generating Discrete Trace Transition System of a Polyhe-dral Invariant Hybrid Automaton
Supervisory control and fault diagnosis of hybrid systems need to have complete information about the discrete states transitions of the underling system. From this point of view, the hybrid system should be abstracted to a Discrete Trace Transition System (DTTS) and represented by a discrete mode transition graph. In this paper an effective method is proposed for generating discrete mode trans...
متن کاملRobust Controlled Invariant Sets for a class of Uncertain Hybrid Systems
Invariant set theory has been widely studied in the literature, see for example [1, 2] and reference therein. [1] gives a compressive review of the invariant set theory. [2] brings together some of the main ideas in set invariance theory and places them in a general, nonlinear setting. A similar concept, maximal safety set, has been studied in the literature of hybrid systems. The authors of [7...
متن کاملA min-max model predictive control for a class of hybrid dynamical systems
This paper presents a min-max model predictive control algorithm for a class of hybrid systems by exploiting the equivalence between piecewise linear systems and mixed logical dynamical systems. The control algorithm consists of two control modes which are a state feedback mode and a min-max model predictive control mode. In the min-max model predictive control mode, the constrained positively ...
متن کاملIntroduction to Schramm-Loewner evolution and its application to critical systems
In this short review we look at recent advances in Schramm-Loewner Evolution (SLE) theory and its application to critical phenomena. The application of SLE goes beyond critical systems to other time dependent, scale invariant phenomena such as turbulence, sand-piles and watersheds. Through the use of SLE, the evolution of conformally invariant paths on the complex plane can be followed; hence a...
متن کامل