Arbitrary eigenvalue assignment via switching hyperplanes design scheme and extension of Ackermann´s formula

Author

Huang, Y.J. ; Yeung, K.S.

Author_Institution

Dept. of Electr. Eng., Yuan-Ze Inst. of Technol., Chungli, Taiwan

Volume

4

fYear

1993

fDate

19-21 Oct. 1993

Firstpage

17

Abstract

The system considered is assumed to be linear time invariant and completely state controllable. First, a formula is presented for the design of switching hyperplanes in the sliding-mode control (SMC) of multivariable systems. According to the desired closed-loop eigenvalues, sliding hyperplanes are directly determined. Next, a systematic scheme to arbitrarily assign closed-loop eigenvalues of multivariable systems is achieved. For the case of single variable, the proposed scheme reduces to the well-known Ackermann´s formula.<>

Keywords

closed loop systems; control system synthesis; controllability; eigenvalues and eigenfunctions; multivariable control systems; variable structure systems; Ackermann´s formula; arbitrary eigenvalue assignment; closed-loop eigenvalues; completely state controllable system; linear time invariant system; multivariable systems; sliding-mode control; switching hyperplanes design scheme; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Linear systems; MIMO; Polynomials; Sliding mode control; System performance;

fLanguage

English

Publisher

ieee

Conference_Titel

TENCON '93. Proceedings. Computer, Communication, Control and Power Engineering.1993 IEEE Region 10 Conference on

Conference_Location

Beijing, China

Print_ISBN

0-7803-1233-3

Type

conf

DOI

10.1109/TENCON.1993.320424

Filename

320424