Split-path nonlinear integral control for transient performance improvement

S.J.L.M. Van Loon, B.G.B. Hunnekens, W.P.M.H. Heemels, N. Van De Wouw, H. Nijmeijer

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
9 Downloads (Pure)

Abstract

In this paper, we introduce the split-path nonlinear integrator (SPANI) as a novel nonlinear filter designed to improve the transient performance of linear systems in terms of overshoot, while preserving good rise-time and settling behavior. In particular, this nonlinear controller targets the well-known trade-off induced by integral action, which removes steady-state errors due to constant external disturbances, but deteriorates transient performance in terms of increased overshoot. The rationale behind the proposed SPANI filter is to ensure that the integral action has, at all times, the same sign as the closed-loop error signal, which, as we will show, enables a reduction in overshoot thereby leading to an overall improved transient performance. The resulting closed-loop dynamics is modeled by a hybrid dynamical system, for which we provide sufficient Lyapunov-based conditions for stability. Furthermore, we illustrate the effectiveness, the design and the tuning of the proposed controller in a benchmark simulation study of an industrial pick-and-place machine.

Original languageEnglish
Pages (from-to)262-270
Number of pages9
JournalAutomatica
Volume66
DOIs
Publication statusPublished - 1 Apr 2016

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Controllers
Linear systems
Dynamical systems
Tuning

Keywords

  • Hybrid control
  • Motion control
  • Split-path nonlinear control
  • Stability
  • Transient performance

Cite this

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Split-path nonlinear integral control for transient performance improvement. / Van Loon, S.J.L.M.; Hunnekens, B.G.B.; Heemels, W.P.M.H.; Van De Wouw, N.; Nijmeijer, H.

In: Automatica, Vol. 66, 01.04.2016, p. 262-270.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Split-path nonlinear integral control for transient performance improvement

AU - Van Loon, S.J.L.M.

AU - Hunnekens, B.G.B.

AU - Heemels, W.P.M.H.

AU - Van De Wouw, N.

AU - Nijmeijer, H.

PY - 2016/4/1

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N2 - In this paper, we introduce the split-path nonlinear integrator (SPANI) as a novel nonlinear filter designed to improve the transient performance of linear systems in terms of overshoot, while preserving good rise-time and settling behavior. In particular, this nonlinear controller targets the well-known trade-off induced by integral action, which removes steady-state errors due to constant external disturbances, but deteriorates transient performance in terms of increased overshoot. The rationale behind the proposed SPANI filter is to ensure that the integral action has, at all times, the same sign as the closed-loop error signal, which, as we will show, enables a reduction in overshoot thereby leading to an overall improved transient performance. The resulting closed-loop dynamics is modeled by a hybrid dynamical system, for which we provide sufficient Lyapunov-based conditions for stability. Furthermore, we illustrate the effectiveness, the design and the tuning of the proposed controller in a benchmark simulation study of an industrial pick-and-place machine.

AB - In this paper, we introduce the split-path nonlinear integrator (SPANI) as a novel nonlinear filter designed to improve the transient performance of linear systems in terms of overshoot, while preserving good rise-time and settling behavior. In particular, this nonlinear controller targets the well-known trade-off induced by integral action, which removes steady-state errors due to constant external disturbances, but deteriorates transient performance in terms of increased overshoot. The rationale behind the proposed SPANI filter is to ensure that the integral action has, at all times, the same sign as the closed-loop error signal, which, as we will show, enables a reduction in overshoot thereby leading to an overall improved transient performance. The resulting closed-loop dynamics is modeled by a hybrid dynamical system, for which we provide sufficient Lyapunov-based conditions for stability. Furthermore, we illustrate the effectiveness, the design and the tuning of the proposed controller in a benchmark simulation study of an industrial pick-and-place machine.

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