Loading [a11y]/accessibility-menu.js
Robust time optimization for linear systems: finite uncertainty set case | IEEE Conference Publication | IEEE Xplore

Robust time optimization for linear systems: finite uncertainty set case


Abstract:

A linear optimization problem with unknown parameters from a given finite set is tackled. A compact, convex terminal body M is assumed to be given. The problem is to find...Show More

Abstract:

A linear optimization problem with unknown parameters from a given finite set is tackled. A compact, convex terminal body M is assumed to be given. The problem is to find the robust time-optimal control transferring a given initial point to M for all unknown parameters in a shortest time. The maximum principle for this minimax problem is formulated. It gives a necessary and sufficient condition of robust optimality. Under natural conditions, the existence and uniqueness of robust optimal controls are proven when the resource set is a convex polytope. Several illustrating examples, including a bang-bang robust optimal control, are considered in detail.
Date of Conference: 04-07 December 2001
Date Added to IEEE Xplore: 06 August 2002
Print ISBN:0-7803-7061-9
Conference Location: Orlando, FL, USA