P-D feedback eigenstructure assignment with minimum control effort in second-order dynamic systems

Author

Duan, Guang-Ren ; Wang, Gun-Sheng

Author_Institution

Centre for Control Theor. & Guidance Technol., Harbin Inst. of Technol.

fYear

2004

fDate

4-4 Sept. 2004

Firstpage

344

Lastpage

349

Abstract

The design of proportional plus derivative (P-D) feedback eigenstructure assignment with minimum control effort is considered in a class of second-order dynamic systems. By utilizing the result of parametric eigenstructure assignment via P-D feedback proposed in, the design problem is formulated as a constrained minimization problem and a corresponding algorithm for this minimization problem is then proposed. This minimization involves the closed-loop eigenvalues as well as a group of parameter vectors when the closed-loop eigenvalues are not prescribed. Due to the simplicity, explicity and completeness of eigenstructure assignment, the proposed algorithm is simple and efficient. A three lumped mass-spring dashpot system and the simulation results show the effect of this proposed algorithm

Keywords

PD control; closed loop systems; control system synthesis; eigenstructure assignment; feedback; minimisation; PD feedback design; closed loop eigenvalues; minimization problem; parameter vectors; parametric eigenstructure assignment; second order dynamic systems; three lumped mass-spring dashpot system; Algorithm design and analysis; Control systems; Differential equations; Eigenvalues and eigenfunctions; Mechanical systems; Minimization methods; PD control; Proportional control; Recurrent neural networks; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control Systems Design, 2004 IEEE International Symposium on

Conference_Location

Taipei

Print_ISBN

0-7803-8636-1

Type

conf

DOI

10.1109/CACSD.2004.1393900

Filename

1393900