Variable high-gain disturbance observer design with online adaption of observer gains embedded in numerical integration

Liu, Yan; Söffker, Dirk

doi:10.1016/j.matcom.2011.07.010

Cited by 15 publications

(7 citation statements)

References 6 publications

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“…More recent, an adaptive gain design method based on the desired performance has been introduced as an innovative method to achieve better efficiency. Time-variant optimal gain method is firstly introduced as Advanced PIObserver (API-Observer) by Liu and Söffker (2012) for online adaption of observer gain embedded in the numerical integration. In this method a bank of PI-Observers with a suitable gain scheduling and online design approach is considered.…”

Section: High Gain Scheduling Of Pi-observermentioning

confidence: 99%

“…However judging only based on the output response is not completely reliable. Actually the evaluation of the observer-based control results using the introduced example is done based on a suitable criteria (Liu and Söffker (2012)) C = [ T 0 e 2 (t)dt, T 0 u 2 (t)dt] which has to be minimized. This criteria considers both the output error e(t) and the input energy u(t).…”

Section: Mathmod 2015mentioning

confidence: 99%

“…Particular attention to the advantages of scheduling high gains of PI-Observer is considered in this review. Advanced PI-Observer (APIO) (Liu and Söffker (2012)) is introduced to realize an adaptive gain for PI-Observer to improve the performance and robustness. Modified Advanced PI-Observer (MAPIO) is proposed as an modified approach of API-Observer.…”

Section: Introductionmentioning

confidence: 99%

“…This result is firstly proposed by Müller (1988) and later including proofs by Söffker et al (1995). Advanced PI-Observer (APIO) algorithm proposed by Liu and Söffker (2012), is a method used for optimal scheduling of the PI-Observer gain based on a cost function using a bank of PI-Observers. It has the capability to define the relative optimal gain at each step size of the PI-Observer integration routine.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Proportional-Integral-Observer: A brief survey with special attention to the actual methods using ACC Benchmark

Bakhshande

Söffker

2015

IFAC-PapersOnLine

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This paper gives a brief survey of linear and nonlinear Proportional-IntegralObserver design. This observer has the ability to estimate simultaneously the states and unknown inputs such as disturbances or model uncertainties acting on the system. In literature different system types have been considered for designing PI-Observer which are introduced briefly in this survey. Furthermore design methods of Advanced PI-observer and Modified Advanced PI-Observer are presented. Both approaches are based on the PI-Observer but using adaptive gain scheduling approach. Simulation results using American Control Conference (ACC) benchmark are given to evaluate Modified Advanced PI-Observer in comparison to PIObserver and Advanced PI-Observer.

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Section: High Gain Scheduling Of Pi-observermentioning

confidence: 99%

Section: Mathmod 2015mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Proportional-Integral-Observer: A brief survey with special attention to the actual methods using ACC Benchmark

Bakhshande

Söffker

2015

IFAC-PapersOnLine

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“…More recent adaptive gain design through the observing time and based on the desired performance is an innovative method to achieve better efficiency. Time-variant optimal gain method is firstly introduced as Advanced PI-Observer (API-Observer) by Liu and Söffker in 2012 [6]. In this method a bank of PI-Observers with a suitable gain scheduling and online design approach is considered.…”

Section: Introductionmentioning

confidence: 99%

High‐Gain Scheduling of the Proportional‐Integral‐Observer

Bakhshande

Söffker

2014

Proc Appl Math and Mech

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Estimation of states and unknown inputs simultaneously can be done by Proportional-Integral-Observer (PIO). This observer is used in nonlinear and robust control. It has additional integral feedback loop in comparison with the usual Luenberger observer. Increasing the gain of this observer the performance would be increased, however due to this high gain the performance is influenced by measurement noise. Advanced PI-Observer (API) algorithm is a method which is used for scheduling the optimal gain of PI-Observer based on the cost function and by using a bank of PI-Observer. In this contribution the proposed method obtains relative optimal gain by using a given cost function. Afterwards the absolute optimal gain is computed by changing the design parameters at each step based on the desired performance criteria. The absolute optimal gain is found instead of relative optimal gain in comparison with the API-Observer. Simulation results estimating contact forces acting to a vibrating elastic beam based on indirect measurements illustrate the improvement of the proposed method.

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Detection of rotor cracks: comparison of an old model-based approach with a new signal-based approach

et al. 2015

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Variable high-gain disturbance observer design with online adaption of observer gains embedded in numerical integration

Cited by 15 publications

References 6 publications

Proportional-Integral-Observer: A brief survey with special attention to the actual methods using ACC Benchmark

Proportional-Integral-Observer: A brief survey with special attention to the actual methods using ACC Benchmark

High‐Gain Scheduling of the Proportional‐Integral‐Observer

Detection of rotor cracks: comparison of an old model-based approach with a new signal-based approach

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