Design of discrete time adaptive PID control systems with parallel feedforward compensator

Mizumoto, Ikuro; Ikeda, Daisuke; Hirahata, Tadashi; Iwai, Zenta

doi:10.1016/j.conengprac.2009.09.003

Cited by 96 publications

(34 citation statements)

References 13 publications

(15 reference statements)

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“…However, if the order of the plant or the desired model is high, the order of the PFC increases because it depends on the order of the plant and the desired model. In contrast, the proposed method can design a low order PFC compared with the method proposed by Mizumoto, et al (2010). The effectiveness of the proposed method is verified through not only simulations but also experiments using a mechanical vibration system.…”

Section: Introductionmentioning

confidence: 89%

“…Accordingly, although the proposed method requires numerous iterations, good matching results are obtained regardless of the initial value setting of the leading coefficient, b n−1 . In addition, if the PFC is designed such as G f (s) = G r (s) − G p (s) by the method proposed by Mizumoto, et al (2010), order of the PFC is 7-th, however, the order of the PFC designed by the proposed method is 3-rd. The proposed method can design the specified low order PFC compared with the method proposed by Mizumoto, et al (2010).…”

Section: Comparison With the Conventional Methodsmentioning

confidence: 99%

“…The proposed method requires no a priori information on the coefficients of the PFC, which are determined automatically in the proposed method because of redundancy of a descriptor system. On the other hand, a useful design method has been proposed by Mizumoto, et al (2010). The method employs the desired model minus the plant as the PFC.…”

Section: Introductionmentioning

confidence: 99%

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PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

Tanemura

Chida

2015

Mechanical Engineering Journal

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Simple adaptive control (SAC) is a control method that maintains control performance despite perturbations of a plant. However, there is a problem in that the vibratory output occurs in the transient response when SAC is applied to a vibration system which includes anti-resonance modes. The occurrence of the output depends on the structure of SAC and the output is caused by the vibratory input corresponding to the anti-resonance frequency. In order to overcome the problem, a method using an appropriate parallel feedforward compensator (PFC) is proposed. In the proposed method, an effective PFC is designed such that the gain of an augmented system is matched to that of a desired model under the ASPR condition of the augmented system. A design problem is described by LMI/BMI conditions. The problem using LMI/BMI conditions is solved by an iterative procedure. However, the leading coefficient of the PFC must be given a priori in order to guarantee the ASPR property, which provides some restrictions for applications of the proposed method. In the present paper, an improved method to overcome the abovementioned restrictions is proposed using the stability theorem of the descriptor system. The effectiveness of the proposed method is verified through numerical simulations and experiments.

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Section: Introductionmentioning

confidence: 89%

Section: Comparison With the Conventional Methodsmentioning

confidence: 99%

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PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

Tanemura

Chida

2015

Mechanical Engineering Journal

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“…In this method, the non-ASPR systems are augmented with a PFC which is designed so as to render the resulting augmented system ASPR, and then the ASPR based adaptive methods can be applied to the augmented ASPR system. The method introducing a PFC is a simple and practical alleviation method for the ASPR restriction, and several PFC design methods for linear systems have been provided [7], [1], [2], [8]. However, in the cases where the controlled system is nonlinear and/or the system parameters of the controlled system are varying during control operation according to changes in the environment, it might be difficult to maintain the ASPR-ness of the augmented system within a whole considered range with a PFC designed for a linear time invariant model.…”

Section: Introductionmentioning

confidence: 99%

ASPR based adaptive output feedback control system design via T-S fuzzy model for nonlinear systems

Mizumoto

Takagi

2014

2014 European Control Conference (ECC)

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This paper deals with a design problem of an adaptive output feedback control system for nonlinear and/or parameter varying systems via T-S fuzzy model. The almost strictly positive real (ASPR) based adaptive control system with a parallel feedforward compensator (PFC) will be proposed for nonlinear and/or parameter varying systems which can be modelled by a T-S fuzzy model and stability of the obtained control system will be analyzed.

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“…With this in mind, an OFEP based adaptive PID control has been proposed [11], [12]. The PID control is one of the most common control schemes in industrial processes and of mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Output tracking control of discrete-time nonlinear systems by adaptive PID based on output feedback passivity

Mizumoto

Takagi

2014

Proceeding of the 11th World Congress on Intelligent Control and Automation

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In this paper, we propose a design scheme of an adaptive PID tracking control system for discrete-time nonlinear SISO systems. The proposed method utilizes the OFSP properties of the controlled system, so that the stability of the resulting adaptive control system can be guaranteed with certainty. A robust adaptive PID design scheme for the OFSP augmented system with a parallel feedforward compensator without causality problems was developed by introducing an adaptive NN feedforward control signal. * ( + 1) = ( * ( )) + * ( )and they are given by functions of ( ) such as * ( ) = ( ( )) and * ( ) = ( ( )).Assumption 2: ( ( )) and ℎ( ( )) are globally Lipschitz.

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Design of discrete time adaptive PID control systems with parallel feedforward compensator

Cited by 96 publications

References 13 publications

PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

ASPR based adaptive output feedback control system design via T-S fuzzy model for nonlinear systems

Output tracking control of discrete-time nonlinear systems by adaptive PID based on output feedback passivity

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