Outer Approximation of the Minimal Disturbance Invariant Set of PWL Systems with Bounded Disturbances

Author

Dan, Sui ; Jin, Ong Chong

Author_Institution

Singapore-MIT Alliance, National Univ. of Singapore

fYear

2006

fDate

5-8 Dec. 2006

Firstpage

1

Lastpage

5

Abstract

The paper considers piecewise linear system with bounded disturbances (PWLBD system). Some properties of the minimal disturbance invariant set F_infin of PWLBD systems are discussed and an algorithm for the computation of its outer bounds is presented. In general, the set F_infin of PWLBD system is non-convex and a union of many polytopes. The resulting outer bounds are convex and remain disturbance invariant property

Keywords

convex programming; invariance; linear systems; piecewise linear techniques; PWL systems; bounded disturbances; disturbance invariant property; minimal disturbance invariant set; outer approximation; piecewise linear system; piecewise linear systems; Control systems; Linear approximation; Linear systems; Mechanical engineering; Optimal control; Piecewise linear approximation; Piecewise linear techniques; Predictive models; Robust control; Sufficient conditions; Minimal disturbance invariant set; Outer approximation; Piecewise linear systems with bounded disturbances;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision, 2006. ICARCV '06. 9th International Conference on

Conference_Location

Singapore

Print_ISBN

1-4244-0341-3

Electronic_ISBN

1-4214-042-1

Type

conf

DOI

10.1109/ICARCV.2006.345271

Filename

4150149