Suboptimal control for the bilinear quadratic regulator problem: application to the activated sludge process

Author

Ekman, M.

Author_Institution

Dept. of Inf. Technol., Uppsala Univ., Sweden

Volume

13

Issue

1

fYear

2005

Firstpage

162

Lastpage

168

Abstract

A suboptimal solution to the bilinear quadratic regulator problem with infinite final time is studied. The proposed control law is based on the steady-state solution of the state-dependent Riccati equation. A power-series approach of the Riccati equation is presented which results in offline calculations of one Riccati equation and a sequence of Lyapunov equations. Special emphasize is devoted to illustrate the performance of the derived control law applied to the activated sludge process.

Keywords

Lyapunov methods; Riccati equations; linear quadratic control; sludge treatment; suboptimal control; Lyapunov equation; activated sludge process; bilinear quadratic regulator problem; power series approach; state-dependent Riccatti equation; suboptimal control; Application specific processors; Control system synthesis; Control systems; Feedback control; Nonlinear equations; Nonlinear systems; Optimal control; Regulators; Riccati equations; Sludge treatment; Activated sludge process (ASP); Riccati equations; bilinear systems; power series; suboptimal control;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2004.838556

Filename

1372556