Robust sampled-data control for direct current to direct current converters via switched affine description and error tracking strategy

In this article, a novel sampled-data control method is proposed for direct current to direct current converter. According to its switching property, the direct current to direct current converter is described as a switched affine system. A novel error tracking switching law is designed based on the multi-Lyapunov functions method and sampled-data control strategy with variant sampling intervals. The sufficient condition concerning the state of the constructed switched affine system converging to a finite region is developed, which guarantees the outcome voltage can approach the desired value and achieve the voltage adjustment. Based on it, the condition under uncertain parameters is developed as well, which would be more desirable in applications. The effectiveness of the proposed method is verified by numerical simulations. The proposed method is also applicable to other types of power converters.

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\begin{document}$ \mathcal{H}_{\infty} $\end{document} control for fuzzy markovian jump systems based on sampled-data control method

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020368 ◽

2018 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Xingyue Liang ◽

◽

Jianwei Xia ◽

Guoliang Chen ◽

Huasheng Zhang ◽

...

Keyword(s):

Control Method ◽

Markovian Jump Systems ◽

Sampled Data ◽

Markovian Jump ◽

Data Control ◽

Sampled Data Control ◽

Jump Systems

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Sampled-data Control of a Class of Nonlinear Flat Systems With Application to Unicycle Trajectory Tracking

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2234491 ◽

2005 ◽

Vol 128 (3) ◽

pp. 722-728 ◽

Cited By ~ 8

Author(s):

N. Léchevin ◽

C. A. Rabbath

Keyword(s):

Trajectory Tracking ◽

Control Method ◽

Digital Design ◽

Control Law ◽

Sampled Data ◽

Control Laws ◽

Control Approach ◽

Flat Systems ◽

Data Control ◽

Sampled Data Control

In this paper we propose a flatness-based nonlinear sampled-data control approach for the trajectory tracking of nonlinear differentially flat systems that can be expressed in cascade form. The nonlinear sampled-data control method relies on the flatness property for the generation of appropriate trajectories, with the design of one-step predictive control laws, and on controller discretization by means of an averaging-like method. In the paper we demonstrate that the causality problem that might arise in the implementation is avoided by using an estimator based on numerical integration techniques of sufficiently high order. Stability-like properties are proved. Numerical simulations show that the proposed sampled-data control law offers the best closed-loop performance when compared with nonlinear direct digital design for the trajectory tracking of a rotorcraft-like UAV modeled as the unicycle. The synthesis of the nonlinear sampled-data control law takes advantage of the feedback linearizability property of the unicycle model. Furthermore, the proposed nonlinear sampled-data control does not rely on approximated discretization techniques and is computed from exponentially convergent steering trajectories that result from the stabilization of the linearized unicycle model.

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