Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system

Shi, Jia; Gao, Furong; Tie-jun, WU

doi:10.1016/j.jprocont.2005.02.005

Cited by 182 publications

(119 citation statements)

References 10 publications

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“…Remark 1. Theorem 1 provides an LMI-based sufficient robust stability condition for discrete 2D system (9) under control law (10). The condition can be easily used to directly design the controller parameters of the RCS in Fig.…”

Section: Design Of Discrete Output-feedback Based Rcsmentioning

confidence: 98%

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Design of a Discrete-time Output-feedback Based Repetitive-control System

Zhou

She

2013

Int. J. Autom. Comput.

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This paper deals with the problem of designing a robust discrete output-feedback based repetitive-control system for a class of linear plants with periodic uncertainties. The periodicity of the repetitive-control system is exploited to establish a two-dimensional (2D) model that converts the design problem into a robust stabilization problem for a discrete 2D system. By employing Lyapunov stability theory and the singular-value decomposition of the output matrix, a linear-matrix-inequality (LMI) based stability condition is derived. The condition can be used directly to design the gains of the repetitive controller. Two tuning parameters in the LMI enable the preferential adjustment of control and learning. A numerical example illustrates the design procedure and demonstrates the validity of the method.

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Section: Design Of Discrete Output-feedback Based Rcsmentioning

confidence: 98%

“…Consequently, they are incapable of making fundamental improvements in transient performance [4−6] . For the case of continuous RC, Zhou et al [7,8] employed 2D system theory [9,10] to design a robust RCS. Mapping the RCS to 2D space yields a continuous-discrete 2D model.…”

Section: Introductionmentioning

confidence: 99%

Design of a Discrete-time Output-feedback Based Repetitive-control System

Zhou

She

2013

Int. J. Autom. Comput.

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“…Refer to [36], the autoregressive model between the injection velocity and the proportional valve is described as PðzÞ ¼ 1:69z þ 1:419 z 2 À 1:582z þ 0:5916 (25) In this section, various actuator faults and unknown disturbances are considered. At the same time, the conventional MPFTC strategy obtained by Eq.…”

Section: Illustrationmentioning

confidence: 99%

Improved state space model predictive fault-tolerant control for injection molding batch processes with partial actuator faults using GA optimization

Zou

Zhang

2018

ISA Transactions

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“…The first term on the right-hand side is activated by the difference in the state vectors on two successive passes and an obvious extension is to seek to replace the state vectors with their pass profile counterparts. Finally, there are alternative 2D systems based designs that could be employed, e.g., [28], but the form of the control law to be implemented is much less transparent in terms of actual implementation. Moreover, the analysis in [22] uses a repetitive process model that has no 2D discrete linear systems counterpart.…”

Section: Scenario 3: Time-varying Fault and Model With Polytopic Uncementioning

confidence: 99%

Robust fault-tolerant iterative learning control for discrete systems via linear repetitive processes theory

Ding

Cichy

Gałkowski

et al. 2015

Int. J. Autom. Comput.

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This paper addresses the problem of robust iterative learning control design for a class of uncertain multiple-input multipleoutput discrete linear systems with actuator faults. The stability theory for linear repetitive processes is used to develop formulas for gain matrices design, together with convergent conditions in terms of linear matrix inequalities. An extension to deal with model uncertainty of the polytopic or norm bounded form is also developed and an illustrative example is given.

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Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system

Cited by 182 publications

References 10 publications

Design of a Discrete-time Output-feedback Based Repetitive-control System

Design of a Discrete-time Output-feedback Based Repetitive-control System

Improved state space model predictive fault-tolerant control for injection molding batch processes with partial actuator faults using GA optimization

Robust fault-tolerant iterative learning control for discrete systems via linear repetitive processes theory

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