Optimal sensor/actuator location for descriptor systems using Lyapunov-like equations

Author

Marx, B. ; Koenig, D. ; Georges, D.

Author_Institution

Lab. d´´Autom. de Grenoble, St. Martin d´´Heres, France

Volume

4

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

4541

Abstract

A method for optimal sensor and actuator location is proposed for the linear time-invariant descriptor systems. The actuators are selected to minimize the input energy needed to reach a given state and the sensor are selected to maximize the energy transmitted from the state variables to the outputs. Since controllability and observability can be quantified by the corresponding gramians, the problem of optimal actuator and sensor location is linked to the maximization of the gramians. Due to the finiteness of the possible locations for actuators and sensors this problem can be efficiently solved by using integer optimization tools. An illustrative example is provided.

Keywords

Lyapunov matrix equations; controllability; linear systems; observability; optimisation; Lyapunov like equations; actuator location; controllability; descriptor systems; gramians; input energy; integer optimization tools; linear time-invariant descriptor systems; observability; optimal actuator location; optimal sensor location; state variables; Actuators; Biosensors; Controllability; Equations; Matrix decomposition; Observability; Power system control; Power system modeling; Sensor phenomena and characterization; Sensor systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1185090

Filename

1185090