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Design of continuous and discrete LQI control systems with stable inner loops

Design of continuous and discrete LQI control systems with stable inner loops
Design of continuous and discrete LQI control systems with stable inner loops
Design approaches were proposed for both continuous and discrete LQI (linear quadratic with integral)controllers, if exist, to stabilize the inner loops in addition to stabilizing the closed loops and minimizing the quadratic cost functionals. Derived from the algebraic Riccati equations involved in continuous and discrete LQI control, the design approaches were straightforward obtained by setting the quadratic cost functionals to decoupled forms with positive definite weighting matrices. Examples were provided to verify the effectiveness of the approaches.
linear quadratic with integral, algebraic riccati equations, positive definiteness, lyapunov stability
1007-1172
787-792
Feng, Zhengping
b2d31481-7425-413f-a0ce-bd11e82febb1
Zhu, Jimao
648a47da-7230-418e-a9c0-623c4e959458
Allen, Robert
956a918f-278c-48ef-8e19-65aa463f199a
Feng, Zhengping
b2d31481-7425-413f-a0ce-bd11e82febb1
Zhu, Jimao
648a47da-7230-418e-a9c0-623c4e959458
Allen, Robert
956a918f-278c-48ef-8e19-65aa463f199a

Feng, Zhengping, Zhu, Jimao and Allen, Robert (2007) Design of continuous and discrete LQI control systems with stable inner loops. Shanghai Jiaotong University Journal, 12 (6), 787-792.

Record type: Article

Abstract

Design approaches were proposed for both continuous and discrete LQI (linear quadratic with integral)controllers, if exist, to stabilize the inner loops in addition to stabilizing the closed loops and minimizing the quadratic cost functionals. Derived from the algebraic Riccati equations involved in continuous and discrete LQI control, the design approaches were straightforward obtained by setting the quadratic cost functionals to decoupled forms with positive definite weighting matrices. Examples were provided to verify the effectiveness of the approaches.

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More information

Published date: 2007
Keywords: linear quadratic with integral, algebraic riccati equations, positive definiteness, lyapunov stability

Identifiers

Local EPrints ID: 152519
URI: http://eprints.soton.ac.uk/id/eprint/152519
ISSN: 1007-1172
PURE UUID: 03aa6908-1b25-4b8b-a249-d31b4e6744e1

Catalogue record

Date deposited: 10 Jun 2010 09:10
Last modified: 08 Jan 2022 02:28

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Contributors

Author: Zhengping Feng
Author: Jimao Zhu
Author: Robert Allen

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