TY - GEN

T1 - Simple adaptive PI control for linear time-delay systems

AU - Ben Yamin, R.

AU - Yaesh, I.

AU - Shaked, U.

N1 - Funding Information:
★ This work was supported in part by C&M Maus Chair at Tel Aviv University.

PY - 2009

Y1 - 2009

N2 - A simple direct adaptive proportional-plus-integral (PI) control scheme is introduced, for linear time-delay systems with polytopic uncertainties. Sufficient conditions for closed-loop stability of the proposed control scheme are given, in terms of bilinear matrix inequalities (BMIs). The addition of a proportional-gain feedback to previous results, where only integral-type gain adaptation was considered, reduces the conservatism entailed in the BMIs. Stability is analyzed using the Lyapunov-Krasovskii functional method and both delay-dependent and delay-independent results are obtain. A numerical example is given, which demonstrates applicability of the proposed method and the simplicity of its implementation.

AB - A simple direct adaptive proportional-plus-integral (PI) control scheme is introduced, for linear time-delay systems with polytopic uncertainties. Sufficient conditions for closed-loop stability of the proposed control scheme are given, in terms of bilinear matrix inequalities (BMIs). The addition of a proportional-gain feedback to previous results, where only integral-type gain adaptation was considered, reduces the conservatism entailed in the BMIs. Stability is analyzed using the Lyapunov-Krasovskii functional method and both delay-dependent and delay-independent results are obtain. A numerical example is given, which demonstrates applicability of the proposed method and the simplicity of its implementation.

KW - Adaptive direct control

KW - SAC

KW - Simplified adaptive control

KW - Time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=80051542694&partnerID=8YFLogxK

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AN - SCOPUS:80051542694

SN - 9783902661678

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 195

EP - 200

BT - 8th IFAC Workshop on Time-Delay Systems, TDS'09 - Proceedings

T2 - 8th IFAC Workshop on Time-Delay Systems, TDS'09

Y2 - 1 September 2009 through 3 September 2009

ER -