An ILMI approach to robust static output feedback sliding mode control

Xiang, Ji; Wei, Wan; Su, Han

doi:10.1080/00207170600741278

Cited by 25 publications

(56 citation statements)

References 13 publications

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“…The method developed here is a low-order dynamic output feedback controller that is simple and easy to implement. Compared with other output feedback sliding mode controllers [5][6][7][8][9][10], the proposed control law, which involves only original system matrix parameters and does not need the discontinuous switching term, can obtain similar control results. Although the dynamic output feedback controller raises issues of control complexity, the performance of attenuating disturbance in the proposed method is evident.…”

Section: Introductionmentioning

confidence: 83%

“…The proposed control scheme can effectively eliminate input disturbance and guarantee robust stability of the closed-loop system. As a result, the problem of peaking arising in conventional disturbance rejection controllers [2][3][4][5][6][7][8][9][10] can be effectively avoided using the control algorithm proposed here. Before introducing the proposed method, the following three assumptions are made throughout this paper.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Because the disturbance is unknown and only the system output is measurable, many papers [2][3][4][5][6][7][8][9][10] apply the highgain control technique to obtain the desired performance. However, the high-gain control usually suffers from the input saturation and excites high frequency unmodelled dynamics.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Moreover, in most practical systems, not all the system states are available. Previous research [5][6][7][8][9][10] has designed output feedback controllers using the sliding mode technique to stabilize multivariable plants, while the high-gain control is employed to guarantee that the system can reach and slide on the sliding surface in finite time. The high-gain control design suffers from the drawback of peaking phenomenon, in which the control input peaks to an extremely large value during the transient stage.…”

Section: Introductionmentioning

confidence: 99%

“…When not properly treated, the unknown inputs may result in poor performance of the control system. To attenuate the negative impact from unknown inputs and stabilize the closed-loop system, various methods including robust control [1][2][3][4] and sliding mode control [5][6][7][8][9][10] have been proposed. Moreover, in most practical systems, not all the system states are available.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Dynamic Compensator-Based Output Feedback Controller Design for Uncertain Systems with Adjustable Robustness

Chang

2018

Journal of Control Science and Engineering

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A low-order dynamics compensator-based output feedback stabilization method for a class of uncertain linear MIMO systems with mismatched disturbances is presented. Since all the system states are not measurable, the proposed controller inherently has low-pass filter property in which it can successfully replace the derivative terms of the system output and hence effectively estimate the input disturbance. The control scheme proposed here can simultaneously consider the input saturation problem and obtain the desired performance. Although the system has unknown uncertainties and disturbances, the uniformly ultimate boundedness of system states in the closed-loop system is analytically shown using the Lyapunov method. Finally, two numerical examples are presented to demonstrate the applicability of the proposed scheme.

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Section: Introductionmentioning

confidence: 83%

Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic Compensator-Based Output Feedback Controller Design for Uncertain Systems with Adjustable Robustness

Chang

2018

Journal of Control Science and Engineering

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Disturbance Observer Based Dynamic Output Feedback Controller Design for Linear Uncertain Systems

Chang

Wu²

2012

Asian Journal of Control

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For linear multiple input multiple output (MIMO) systems with mismatched parameter uncertainties and matched nonlinear perturbations, a compensator‐based controller based on the disturbance estimation algorithm is considered in this paper. We design a reduced‐order high‐gain observer to estimate the effect of matched perturbation, and introduce the estimation information into the controller design. Using singular perturbation theory, the proposed control law can guarantee robust stability of the closed‐loop system. Moreover, the peaking phenomenon in the control input during the transient time can be effectively avoided using our method. Finally, the feasibility of the proposed method is illustrated by a numerical example.

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Sliding mode parameter adjustment for perturbed linear systems with actuators via invariant ellipsoid method

Dávila

Poznyak

2011

Intl J Robust & Nonlinear

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SUMMARYA methodology for the design of sliding mode controllers for perturbed quasi-linear systems in the presence of actuators is presented. This technique is based on the invariant ellipsoid method and given in terms of the solution of a set of linear matrix inequalities. The provided methodology allows the design of the controller parameters ensuring global convergence of the states to a suboptimal ellipsoidal region around the origin even in the presence of both matched and unmatched uncertainties/disturbances. A benchmark example illustrates a good workability of the suggested technique.

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An ILMI approach to robust static output feedback sliding mode control

Cited by 25 publications

References 13 publications

Dynamic Compensator-Based Output Feedback Controller Design for Uncertain Systems with Adjustable Robustness

Dynamic Compensator-Based Output Feedback Controller Design for Uncertain Systems with Adjustable Robustness

Disturbance Observer Based Dynamic Output Feedback Controller Design for Linear Uncertain Systems

Sliding mode parameter adjustment for perturbed linear systems with actuators via invariant ellipsoid method

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