Observer‐based preview repetitive control for uncertain discrete‐time systems

Li, Li

doi:10.1002/rnc.5342

Cited by 17 publications

(10 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An H ∞ control problem for stochastic systems with disturbance preview was proposed [29]. PC and repetitive control were combined to develop the preview repetitive control for polytopic uncertain systems [30], in which the state variables were not available. A novel PC scheme was developed to address the trajectory tracking problem of continuous‐time Lure‐type nonlinear system [31].…”

Section: Introductionmentioning

confidence: 99%

Preview control of polytopic time‐varying systems subject to actuator saturation

Meng

2022

Asian Journal of Control

Self Cite

View full text Add to dashboard Cite

In this study, a novel method is proposed to track a previewable reference signal in the polytopic time‐varying system with input saturation. Firstly, an augmented model containing future information is constructed using a new formal variable. This leads to the tracking control problem of polytopic time‐varying system with input saturation is transformed into a stability problem of augmented error system. Next, the state and static output feedback preview controls are introduced, and the corresponding controller gains are produced by the proposed conditions. Two examples are presented to validate the effectiveness of the proposed preview controller.

show abstract

Section: Introductionmentioning

confidence: 99%

Preview control of polytopic time‐varying systems subject to actuator saturation

Meng

2022

Asian Journal of Control

Self Cite

View full text Add to dashboard Cite

show abstract

“…Due to its ability to achieve an improved control performance, the RC is widely implemented in a lot of applications such as rotary servo motors, inverted pendulum, power systems, hard disk drives and all systems which require tracking or rejection for the periodic signals. [3][4][5][6] A low-pass filter (LPF) has been incorporated with the RC to construct a modified RC (MRC) which can stabilize strictly proper plants which are difficult for the RC scheme. 7 The LPF in MRC rejects the signals which have high frequencies as well as reducing the control effort significantly and improving the stability.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the tracking error is reduced step by step; and so, the reference input can be tracked with output without steady‐state error. Due to its ability to achieve an improved control performance, the RC is widely implemented in a lot of applications such as rotary servo motors, inverted pendulum, power systems, hard disk drives and all systems which require tracking or rejection for the periodic signals 3‐6 . A low‐pass filter (LPF) has been incorporated with the RC to construct a modified RC (MRC) which can stabilize strictly proper plants which are difficult for the RC scheme 7 .…”

Section: Introductionmentioning

confidence: 99%

Design of equivalent‐input‐disturbance estimator based modified repetitive control with adaptive periodic event‐triggered for time‐varying delay nonlinear systems

Abd‐Elhaleem

Soliman

Hamdy

2022

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article addresses the problems of the disturbance rejection and the periodic signal tracking for a class of time-varying delay nonlinear systems subjected to unknown exogenous disturbances. To approximate the nonlinearity of the system, a Takagi-Sugeno (T-S) fuzzy model has been used. The proposed modified repetitive controller (MRC) scheme based on the equivalent-input-disturbance (EID) estimator improves the performance of periodic and aperiodic unknown disturbances rejection effectively and achieves good tracking performance for periodic references. Furthermore, an adaptive periodic event triggered mechanism based fuzzy state observer (APETM-FSO) has been utilized to reduce data transmission, energy consumption, and computational burden, save the resources of communication. With the help of a designed adaptive event triggering condition, the APETM can detect the event occurrence, which is described by exceeding the error signal to a predetermined threshold. Only when the event occurs, the current data are transmitted otherwise, data can be kept unchanged using a zero-order hold. Hence, The MRC, EID, and APETM-FSO based on a time-varying delay T-S fuzzy model construct the overall system. Then, to achieve the asymptotic stability of the overall system subjected to unknown disturbances, sufficient conditions based on the Lyapunov-Krasovskii functional stability theory and linear matrix inequalities (LMIs) are derived. In addition, the FSO and fuzzy state feedback controller gains are designed using the matrix decomposition and LMI approaches. Simulation results with comparative study are presented to demonstrate the effectiveness and feasibility of the proposed scheme.

show abstract

“…Very recently, for a class of polytopic uncertain discrete systems, an LMI‐based robust guaranteed‐cost RPC law was developed in [35]. Furthermore, an observer‐based PRC design method was considered in [36] for uncertain discrete time systems by using two‐dimensional model approach. Note that the above studies about PRC only focus on discrete‐time system.…”

Section: Introductionmentioning

confidence: 99%

Preview repetitive control with equivalent input disturbance for continuous‐time linear systems

Lan

Zhao

She

2021

IET Control Theory & Appl

View full text Add to dashboard Cite

This paper investigates the problem of preview repetitive control with equivalent‐input‐disturbance for a class of continuous‐time linear systems in the presence of unknown external disturbances. First, an augmented delay system is constructed by using the nominal state equation with error system and the state equation of a modified repetitive controller, which is then transformed into a non‐delayed one by state transformation. Next, by using optimal control theory, a preview repetitive control law is obtained. It is composed of state feedback, tracking error compensation, output of modified repetitive controller and preview compensation. Furthermore, in order to achieve a good disturbance estimation and attenuation performance, by applying the results of the standard equivalent‐input‐disturbance theory, a preview repetitive control law with equivalent‐input‐disturbance is offered for the uncertain system with unknown external disturbance. Finally, the numerical simulation example is provided to illustrate the effectiveness of the proposed method.

show abstract

Observer‐based preview repetitive control for uncertain discrete‐time systems

Cited by 17 publications

References 32 publications

Preview control of polytopic time‐varying systems subject to actuator saturation

Preview control of polytopic time‐varying systems subject to actuator saturation

Design of equivalent‐input‐disturbance estimator based modified repetitive control with adaptive periodic event‐triggered for time‐varying delay nonlinear systems

Preview repetitive control with equivalent input disturbance for continuous‐time linear systems

Contact Info

Product

Resources

About