Design of observer-based discrete repetitive-control system based on 2D model

Wang, Zhao-Hong; Yi, Lingzhi; Lan, Yong‐Hong; Chen, Caixue

doi:10.1007/s11771-014-2420-7

Cited by 5 publications

(13 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…and Qx and R are the weighting matrices in performance index (28), then the conclusion of Theorem 1 holds.…”

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 72%

“…Qx and R are the weighting matrices in performance index (28), then the static output feedback controller (33) is a guaranteed-cost controller and the performance index satisfies J ≤ x T 0 P(θ) x 0 , where x 0 is the initial state of augmented error system (27).…”

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 99%

“…Theorem 2. For the dynamic system (27) with performance index (28), if there exists a positive defined parameter-dependent matrix X(θ); invertible matrices W, U, and G(α); and a scalar β, such that…”

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 99%

“…Ψ 44 is defined in Theorem 2, and Qx and R are the weighting matrices in performance index (28), then the augmented system (27) is robustly asymptotically stable under the guaranteed-cost controller (32), and the gain matrix can be obtained by K i = L i U −1 . Moreover, the corresponding closed-loop performance index satisfies (23), and taking into account the definition of K(α)andG(α), one gets…”

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 99%

“…Based on two-dimensional system theory, the problem of designing discrete-time repetitive-control systems was studied in [26,27]. By the same argument, the observer-based repetitive controller design method for discrete-time systems with uncertainties was presented in [28]. Iterative learning control (ILC) [29] which imposes a special boundary condition on the system, is closely related to repetitive control.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems

2019

Self Cite

View full text Add to dashboard Cite

In this paper, a robust guaranteed-cost preview repetitive controller is proposed for a class of polytopic uncertain discrete-time systems. In order to improve the tracking performance, a repetitive controller, combined with preview compensator, is inserted in the forward channel. By using the L-order forward difference operator, an augmented dynamic system is constructed. Then, the guaranteed-cost preview repetitive control problem is transformed into a guaranteed-cost control problem for the augmented dynamic system. For a given performance index, the sufficient condition of asymptotic stability for the closed-loop system is derived by using a parameter-dependent Lyapunov function method and linear matrix inequality (LMI) techniques. Incorporating the controller obtained into the original system, the guaranteed-cost preview repetitive controller is derived. A numerical example is also included, to show the effectiveness of the proposed method.

show abstract

“…and Qx and R are the weighting matrices in performance index (28), then the conclusion of Theorem 1 holds.…”

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 72%

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 99%

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 99%

Section: Design Of the Guaranteed-cost Preview Repetitive Controllermentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems

2019

Self Cite

View full text Add to dashboard Cite

show abstract

Robust output feedback control of 2D discrete systems with actuator saturation and time-varying delay

Pal

Negi

2016

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

An observer-based dynamic output feedback H N controller is proposed for a class of two-dimensional (2D) uncertain discrete systems described by the Roesser model with actuator saturation, time-varying state delay and external disturbances. First, a delay-dependent Lyapunov stability condition is derived in linear matrix inequality (LMI) form which uses the reciprocal convex approach and H N disturbance attenuation performance is also analysed. Secondly, a convex hull is adopted to represent the saturation nonlinearity. The H N control synthesis for uncertain 2D discrete systems is described by a Roesser model subjected to actuator saturation and external disturbances using an observer-based dynamic output feedback approach. Some practical examples are provided to highlight the usefulness of the presented results.

show abstract

Repetitive Control based on Integral Sliding Mode Control of Matched Uncertain Systems

Toujeni¹,

Mnasri²,

Gasmi³

2018

ijacsa

View full text Add to dashboard Cite

This paper proposed an integral sliding mode control scheme based on repetitive control for uncertain repetitive processes with the presence of matched uncertainties, external disturbances and norm-bounded nonlinearities. A new method based on the combination of repetitive control and sliding mode approach is studied in order to use the robustness sensibility property of the sliding mode control to matched uncertainties and disturbances and to cancel gradually tracking error for periodic processes. A sufficient condition of the existence of sliding mode is studied based on basic repetitive control and a sliding mode controller is synthesized through linear matrix inequalities, which guarantees the stability along the periods of the controlled closed-loop process and the reachability of the sliding surface is ensured. Then, an adaptive integral sliding mode controller is synthesized to improve performances of the proposed control scheme. The effectiveness of the proposed controlled design schemes is proved by the use of a third order uncertain mechanical system and the simulation results using the new approaches give good performances.

show abstract

Design of observer-based discrete repetitive-control system based on 2D model

Cited by 5 publications

References 10 publications

Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems

Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems

Robust output feedback control of 2D discrete systems with actuator saturation and time-varying delay

Repetitive Control based on Integral Sliding Mode Control of Matched Uncertain Systems

Contact Info

Product

Resources

About