About optimal performance and approximation of open-channel hydraulic systems

Author

Litrico, Xavier ; Fromion, Vincent

Author_Institution

Cemagref, Montpellier, France

Volume

5

fYear

2001

fDate

2001

Firstpage

4511

Abstract

Investigates the optimal performance of feedback controlled open-channel systems represented by a linear advection-diffusion equation. We show that the performance given by the maximal achievable bandwidth over which the sensitivity function stays below one for such a system is structurally limited. This result is obtained using different tools. Firstly, an approximate value is computed with stability considerations. A close result is also obtained putting the problem in the H_∞ framework. We finally compare the previous results with a qualitative approach using Bode´s ideal loop transfer function

Keywords

closed loop systems; control system synthesis; feedback; hydraulic systems; linear differential equations; partial differential equations; sensitivity; stability; water supply; Bode ideal loop transfer function; H_∞ framework; feedback controlled open-channel systems; linear advection-diffusion equation; maximal achievable bandwidth; open-channel hydraulic systems; optimal performance; qualitative approach; sensitivity function; stability considerations; Attenuation measurement; Automatic control; Control systems; Equations; Frequency; Hydraulic systems; MIMO; Rivers; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980914

Filename

980914