Operator-based output tracking control for non-linear uncertain systems with unknown time-varying delays

Bi, Shuhui; Deng, Mingcong

doi:10.1049/iet-cta.2010.0232

Cited by 33 publications

(14 citation statements)

References 10 publications

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“…5, where, Φ is a generalized Prandtl-Ishlinskii hysteresis operator such that u * (t) = Φ(u)(t), the real plantP and the model P have right factorization asP =ÑD −1 = (N + ΔN )D −1 and P = ND −1 respectively, ΔN is concerning with the unmodelled uncertainties and is bounded, A, B and F are operators to be designed, r ∈ U , u ∈ U , w ∈ W and y ∈ V are the reference input, control input, quasi-state and system output respectively. Proposed control design for nonlinear uncertain system with PI hysteresis In [13], the mismatch between the real plant and the nominal plant can be predicted by a prediction structure, which is denoted by ΔP * and the desired mismatch operator is equivalent to the plant perturbation ΔP , namely, ΔP * = ΔP . We assume that ΔP * have right factorization as ΔP * = ΔN * D −1 , and ΔN * is bounded.…”

Section: B Robust Control For System With Generalized Pi Hysteresismentioning

confidence: 99%

“…We assume that ΔP * have right factorization as ΔP * = ΔN * D −1 , and ΔN * is bounded. As mentioned in [13], operator N can be divided into two parts, that is, N = N u + N s , where, N u is unimodular operator, N s is stable and is as small as possible. Then, if the uncertainty part is relatively small to N u , namely,…”

Section: B Robust Control For System With Generalized Pi Hysteresismentioning

confidence: 99%

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Operator-based robust nonlinear control for system with generalized PI hysteresis

Wang

Zheng

et al. 2014

Proceedings of the 2014 International Conference on Advanced Mechatronic Systems

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In this paper, robust nonlinear control for nonlinear uncertain systems preceded by hysteresis is considered by using operator based robust right coprime factorization approach.Since not all hysteresis model is suitable in operator-theoretic based settings, one generalized Prandtl-Ishlinskii hysteresis model and its inverse model are introduced. The properties of the models are summarized, which imply the availability of the generalized PI model. Then, an operator based control design with feedforward and feedback control operators is proposed. Based on operator based robust right coprime factorization condition, the system is robustly stable and output tracking performance can be realized by designing the feedforward controller. Moreover, as for the modelling error and other uncertainties, a tracking operator can be added for realizing the perfect tracking performance. Finally, the effectiveness of the proposed method is confirmed by numerical simulations.

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Section: B Robust Control For System With Generalized Pi Hysteresismentioning

confidence: 99%

Section: B Robust Control For System With Generalized Pi Hysteresismentioning

confidence: 99%

Operator-based robust nonlinear control for system with generalized PI hysteresis

Wang

Zheng

et al. 2014

Proceedings of the 2014 International Conference on Advanced Mechatronic Systems

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“…The right coprime factorization approach based on Lipschitz condition from operator view of point has been considered by many authors . In , robust right coprime factorization for nonlinear systems is considered firstly.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Control Method for Nonlinear Systems with Unknown Perturbations by Combining Left and Right Factorization

Tao

Deng

2017

Asian Journal of Control

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In this paper, nonlinear control design scheme for a class of nonlinear systems is proposed based on operator coprime factorization theory. In detail, two stable controllers are provided to design a Bezout identity by combining left factorization (not coprime) with right factorization. Based on the proposed design method, a realization approach to left coprime factorization for the nonlinear system is obtained, which provides an effective framework for constructing left coprime factorization. Meanwhile, internal‐output stability of the nonlinear system is guaranteed. After that, based on the obtained left coprime factorization, the cases of the nonlinear systems with perturbations are discussed for guaranteeing robust stability for the perturbed systems. For the perturbations, two different cases, known bounded perturbations and unknown bounded perturbations, are investigated from different viewpoints to analyze robust stability issue for the perturbed systems. Finally, a simulation example is given to confirm the effectiveness of the proposed design method.

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“…The reason of considering these model including uncertainties is to approach real control systems. Next, operator based nonlinear feedback control systems are realized by using robust right coprime factorization corresponding to the MIMO nonlinear control system including coupling effects, and Lipschitz norm based robust stability conditions are applied to the system and to guarantee robust stability of the process and system [4], [5], [7],-, [9]. Moreover, the existed methods in [10] are applied to the processes to guarantee tracking performance.…”

Section: Introductionmentioning

confidence: 99%

“…G 12 (U 2 ( t )) = 0, (16) by (2) and (7) [7]. The nominal processes P i have the right coprime factorization Ni, Di as P i = NiDi 1 (i = 1, 2), 2g Yl ( t )…”

mentioning

confidence: 99%

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

Furukawa

Deng

2013

Proceedings of the 2013 International Conference on Advanced Mechatronic Systems

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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.

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Operator-based output tracking control for non-linear uncertain systems with unknown time-varying delays

Cited by 33 publications

References 10 publications

Operator-based robust nonlinear control for system with generalized PI hysteresis

Operator-based robust nonlinear control for system with generalized PI hysteresis

Nonlinear Control Method for Nonlinear Systems with Unknown Perturbations by Combining Left and Right Factorization

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

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