Design of a nonlinear controller based on a piecewise-linear Hammerstein model

Dolanč, Gregor; Strmenik, S.

doi:10.1109/cca.2008.4629620

Cited by 8 publications

(10 citation statements)

References 12 publications

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“…To the best of our knowledge, only few approaches have been published dealing with the controller design problem of H models: in Dolanc and Strmcnik (2008) and Lv and Ren (2012), non-linear controllers have been proposed based on the classical linear pole placement principle. The model parameters are obtained by 'offline' identification, conducted prior to the control experiment.…”

Section: Introductionmentioning

confidence: 99%

Adaptive control of stochastic Hammerstein systems with dead-zone input non-linearity

Zeng

Mao

2014

Transactions of the Institute of Measurement and Control

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This article presents a new control scheme for H systems with symmetric dead-zone input non-linearity and coloured noise. Based on the parameterized H model, we derive a dead-zone compensating control law and a recursive estimator. Theoretical analysis shows that global convergence and closed-loop stability can be guaranteed using the proposed algorithms. What is more, theoretical results show that the output tracking error is convergent with a specific residue, which is related to the variance of the noise and the parameter estimate. Simulation results confirm that the proposed method leads to satisfactory output tracking performance.

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Section: Introductionmentioning

confidence: 99%

Adaptive control of stochastic Hammerstein systems with dead-zone input non-linearity

Zeng

Mao

2014

Transactions of the Institute of Measurement and Control

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“…The parameters need to be identified are listed as a vector θ .These parameters should satisfy the following requirements [9] …”

Section: The Parameters Identificationmentioning

confidence: 99%

Switched system modeling for the radar antenna servo turntable

Zhang

Wang

2015

2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA)

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The servo turntable is an essential part of radar antenna, plays an important role for the accuracy and smoothness of tracking. There are several working stations which is different from even running in the antenna servo turntable, such as lowspeeding, changing-over, acceleration or deceleration etc. In this paper, a kind of switched model is introduced to describe the relationship between input and output signals in complex working conditions for the turntable. Then the parameters identification of switched system is summarized as a Constrained Multi-Objective Problem (CMOP). Further, the Comprehensive Learning Particle Swarm Optimization (CLPSO) is applied to the proposed CMOP to obtain a set of appropriate parameters. Finally, the simulation and quality of fitness calculation results demonstrate the precision of the switched model and effectiveness of the identification algorithm.

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“…Email: maozhizhong@ise.neu.edu.cn In contrast to the contributions for block-oriented nonlinear systems identification, much less efforts have been done to design controllers for block-oriented models, which is another key challenge omitted by many researchers. In the previous work, Dolanc and Strmcnik (2008) and Lv and Ren (2012) have proposed nonlinear controllers based on the classic linear pole placement principle. The model parameters are obtained by the 'off-line' identification, conducted prior to the control experiment.…”

Section: Introductionmentioning

confidence: 99%

Adaptive control of Hammerstein–Wiener nonlinear systems

Zhang

Hong

Mao

2014

International Journal of Systems Science

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The Hammerstein-Wiener model is a block-oriented model, having a linear dynamic block sandwiched by two static nonlinear blocks. This note develops an adaptive controller for a special form of Hammerstein-Wiener nonlinear systems which are parameterized by the key-term separation principle. The adaptive control law and recursive parameter estimation are updated by the use of internal variable estimations. By modeling the errors due to the estimation of internal variables, we establish convergence and stability properties. Theoretical results show that parameter estimation convergence and closed-loop system stability can be guaranteed under sufficient condition. From a qualitative analysis of the sufficient condition, we introduce an adaptive weighted factor to improve the performance of the adaptive controller. Numerical examples are given to confirm the results in this paper.

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Design of a nonlinear controller based on a piecewise-linear Hammerstein model

Cited by 8 publications

References 12 publications

Adaptive control of stochastic Hammerstein systems with dead-zone input non-linearity

Adaptive control of stochastic Hammerstein systems with dead-zone input non-linearity

Switched system modeling for the radar antenna servo turntable

Adaptive control of Hammerstein–Wiener nonlinear systems

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