Operator-based robust nonlinear control system design for MIMO nonlinear plants with unknown coupling effects

Proceedings of the 2013 International Conference on Advanced Mechatronic Systems

2013

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In this paper, a modeling and a coprime factoriza tion presentation of a nonlinear aluminum plate thermal system with a Peltier device are investigated. A new operator based sensorless control system of the process is proposed. The effects of uncertainties and unknown coupling effects of the process are compensated in the proposed design method. The effectiveness of the proposed system is shown by experimental results.

Section: Elimination Of Coupling Effectsmentioning

confidence: 99%

“…by(10). Then, Zn means input signal of Pn, Yan means output of Pn(Pn is divided into stable operator Nn and invertible stable operator D;; l based on operator theory.…”

mentioning

confidence: 99%

Nonlinear sensorless cooling control for a Peltier actuated aluminum plate thermal system

Takahashi

Proceedings of the 2013 International Conference on Advanced Mechatronic Systems

2013

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“…As has been stated, this approach provides a relative convenient framework for the nonlinear control system design, including the case where the given plant P is unstable. Moreover, this approach has been extended to multi-input multioutput (MIMO) nonlinear system in and Deng and Bi (2010). Recently, by using operatorbased robust right coprime factorisation approach, fault detection method in an uncertain aluminium plate thermal process control system with input constraints was presented in and nonlinear vibration control of a flexible arm experimental system with piezoelectric actuator was considered in Deng, Inoue, and Baba (2008), the applicability of this approach was proved.…”

Section: Introductionmentioning

confidence: 97%

“…However, in most of the existing approaches, the state space equation of the controlled system should be given, and in many cases, approximation should be used to obtain the model from the real system. In order to avoid that, and also for the purpose of real application, operator-based robust right coprime factorisation approach has been proposed, which is an effective method for linear and nonlinear system analysis and control, and has attracted much attention due to its usefulness in the control field (Vidyasagar 1985;Hammer 1987;Paice and Moore 1990;Paice, Moore, and Horowitz 1992;de Figueiredo and Chen 1993;Banos 1996;Chen and Han 1998;Deng, Inoue, and Ishikawa 2006;Deng, Bi, and Inoue 2009;Deng and Bu 2009;Deng and Bi 2010). Chen and Han (1998) investigated right coprime factorisation of a nonlinear plant in a fairly general operator-theoretic setting, and studied robust right coprime factorisation of nonlinear plants under perturbation.…”

Section: Introductionmentioning

confidence: 99%

Operator-based robust control design for nonlinear plants with perturbation

International Journal of Control

2011

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In this article, operator-based robust control design for nonlinear plants with perturbation is considered by using robust right coprime factorisation approach. In detail, the property of unimodular operator is studied, and a control design structure is proposed. Based on the proposed design scheme, the designed system is robustly stable. Also, output tracking performance can be realised simultaneously. Finally, the effectiveness of the proposed design scheme is demonstrated by a simulation example.

“…Such construction complicates a mathematical model, and inverse Laplace transform of this model may not be computed. In contrast with this method, operator based robust nonlinear control system for MIMO process were proposed [4], [5]. Operator is represented as a mapping from input space to output space in time domain and satisfied of the addition and multiplication rule, so we can perform MIMO control for nonlinear control systems with uncertainties and coupling effects.…”

Section: Introductionmentioning

confidence: 98%

Operator based fault detection and compensation design of an unknown multivariable tank process

Furukawa

Proceedings of the 2013 International Conference on Advanced Mechatronic Systems

2013

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In this paper, robust nonlinear tracking control design and operator based fault detection design employing robust right coprime factorization for an uncertain heat exchange tank process are proposed. To prevent unexpected temperature variation and accident of heating an empty tank, liquid level in tank must be controlled simultaneously with the liquid tempera ture, where control is Multi-Input Multi-Output (MIMO) control. Therefore, first, nonlinear models of liquid temperature process and liquid level system are obtained. This liquid level model is the system assumed the fault occurrence, meanwhile those models have uncertainties and coupling effects. Second, operator based nonlinear feedback tracking control system are realized by using robust right coprime factorization corresponding to the MIMO process. Third, operator based fault detection and compensation design is proposed, and this design is inserted into the control system. Moreover, tracking controllers are designed to obtain desired tracking performance. Finally, the effectiveness of the proposed models and methods is confirmed by simulations.