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On a Class of Controlled Invariant Sets Marian V. Iordache and Panos J. Antsaklis
 

Summary: On a Class of Controlled Invariant Sets
Marian V. Iordache and Panos J. Antsaklis
Abstract-- In this paper we introduce a new class of
controlled invariant sets, called controllable invariant sets.
Intuitively, a controllable invariant set has the property that
from any "large enough" connected region of the set it is
possible to reach any such other region of the set, regardless
of disturbances. Disturbances are assumed to be bounded.
The range of the control inputs is assumed to be given and
is allowed to be bounded. The main result of the paper is
a nonrecursive approach for the computation of controllable
invariants. The other results of the paper deal with properties
of the proposed method and of controllable invariance. The
results of the paper assume hybrid system modes with linear
discrete-time dynamics.
I. INTRODUCTION
Controlled invariant sets have been used in the hybrid
systems literature for the solution to the safety problem
(e.g. [7]). This paper introduces a new class of controlled
invariant sets, called controllable invariant sets. The context

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering