Disturbance decoupling and robustness of stability

Baser, U.; Cevik, M.K.K.; Schumacher, Johannes

doi:10.1002/1099-1239(20001230)10:15<1317::aid-rnc542>3.0.co;2-g

Cited by 5 publications

(2 citation statements)

References 22 publications

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“…Also it would be of interest to consider the tradeoffs of other performance requirements with robustness of stability. In the case of disturbance decoupling it has been found in [2] that the tradeoff is not as benign as in the case of robust regulation that was considered in this paper.…”

Section: Discussionmentioning

confidence: 99%

The robust regulation problem with robust stability: a subspace-valued function approach

Cevik

Schumacher

2000

IEEE Trans. Automat. Contr.

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Among the most common purposes are the tracking of reference signals and the rejection of disturbance signals in the face of uncertainties. The related design problem is called the "robust regulation problem." Here we investigate the tradeoff between the robust regulation constraint and the requirement of robust stability with respect to perturbations in the normalized coprime factors of the plant. We use an approach in terms of subspace-valued functions associated to plant and controller. In this way, necessary and sufficient conditions for robust regulation with robust stability can be related to a simple geometric property.

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Section: Discussionmentioning

confidence: 99%

The robust regulation problem with robust stability: a subspace-valued function approach

Cevik

Schumacher

2000

IEEE Trans. Automat. Contr.

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“…However, this method is not suitable for nonmeasurable disturbances. The robust control method is proposed for the nonmeasurable disturbances in literatures [28,29], without implementation for control objective of asymptotic tracking. The disturbances suppression method based on adaptive control design can effectively estimate the unknown system parameters and disturbance parameters.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fault Compensation and Disturbance Suppression Design for Nonlinear Systems with an Aircraft Control Application

Yao

Yang

2020

International Journal of Aerospace Engineering

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A comprehensive adaptive compensation control strategy based on feedback linearization design is proposed for multivariable nonlinear systems with uncertain actuator fault and unknown mismatched disturbances. Firstly, the linear dynamic system is obtained through nonlinear feedback linearization, and the dynamic model of the mismatched disturbances as well as its relevance to the nonlinear system is given. The effect of disturbances on the system output is suppressed with the basic controller of the linearized system. Then, a direct adaptive controller is developed for the multiple uncertain actuator faults. Finally, an integrated algorithm based on adaptive weighted fusion could provide an effective compensation for the effect of multiple uncertain faults and mismatched disturbances. Thus, the stability and asymptotic tracking performance of the closed-loop system are ensured. The feasibility and performance of the proposed control strategy are validated by the numerical simulation results.

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Structured finite-dimensional controller design by convex optimization

Scherer

2002

Linear Algebra and its Applications

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Disturbance decoupling and robustness of stability

Cited by 5 publications

References 22 publications

The robust regulation problem with robust stability: a subspace-valued function approach

The robust regulation problem with robust stability: a subspace-valued function approach

Adaptive Fault Compensation and Disturbance Suppression Design for Nonlinear Systems with an Aircraft Control Application

Structured finite-dimensional controller design by convex optimization

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