Sliding Mode Preview Repetitive Control for Interconnected Nonlinear Systems

Lan, Yong-Hong; Luo, Zhao; Yan, Jian-De

doi:10.1007/s00034-024-02639-9

Circuits Syst Signal Process

2024

DOI: 10.1007/s00034-024-02639-9

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Sliding Mode Preview Repetitive Control for Interconnected Nonlinear Systems

Yong-Hong Lan,

Zhao Luo,

Jian-De Yan

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Observer-based robust preview tracking control for a class of continuous-time Lipschitz nonlinear systems

Yu,

Hua,

2024

MATH

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<p>In this paper, a novel observer-based robust preview tracking controller design method is proposed for a class of continuous-time Lipschitz nonlinear systems with external disturbances and unknown states. First, a state observer is designed to reconstruct unknown system states. Second, using differentiation, the state lifting technique, the differential mean value theorem, and several ingenious mathematical manipulations, an augmented error system (AES) containing the previewable information of a reference signal is constructed, thereby transforming the tracking control problem into a robust $ H_{\infty} $ control problem. Based on linear parameter-varying (LPV) system theory, a sufficient condition for asymptotic stability of a closed-loop system with a robust $ H_{\infty} $ performance level is established in terms of the linear matrix inequality (LMI). Furthermore, a tracking controller, which includes observer-based feedback control, integral control, and preview feedforward compensation, is established for the original system. In particular, the tracking controller design is simplified by computing the observer and tracking controller gains simultaneously via only a one-step LMI algorithm. Finally, numerical simulation results demonstrate that the proposed controller leads to superior improvement in the output tracking performance compared with the existing methods.</p>

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Observer-based robust preview tracking control for a class of continuous-time Lipschitz nonlinear systems

Yu,

Hua,

2024

MATH

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Sliding Mode Preview Repetitive Control for Interconnected Nonlinear Systems

Cited by 1 publication

References 44 publications

Observer-based robust preview tracking control for a class of continuous-time Lipschitz nonlinear systems

Observer-based robust preview tracking control for a class of continuous-time Lipschitz nonlinear systems

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