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<p>In this paper, an innovative passive formulation has been developed for a wide range of nonlinear systems. During this formulation, a stable and passive state-observer is provided which leads to have a passive closed-loop system. Some remarkable definitions and charts are presented for time-invariant and time-varying Lipschitz systems in four different control scenarios. From a different perspective, a novel interconnection has been established which links the passivity of subsystems with passivity/stability of the closed-loop system. All definitions have been arranged according to the systematic approach named “virtually Euler–Lagrange” form of passivation. Since some design conditions will be released due to using the mentioned method and definitions, the process of analysis and design will be simplified. The proposed passivity-based controller has been applied to treat hepatitis B virus infection disease in several scenarios. All the proposed definitions have been validated by the simulation results.</p>

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A novel passivity-based design for Lipschitz nonlinear systems with application to hepatitis B disease

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Shaghayegh Gorji,
  • Ahmad Fakharian,
  • Rezvan Abbasi

摘要

In this paper, an innovative passive formulation has been developed for a wide range of nonlinear systems. During this formulation, a stable and passive state-observer is provided which leads to have a passive closed-loop system. Some remarkable definitions and charts are presented for time-invariant and time-varying Lipschitz systems in four different control scenarios. From a different perspective, a novel interconnection has been established which links the passivity of subsystems with passivity/stability of the closed-loop system. All definitions have been arranged according to the systematic approach named “virtually Euler–Lagrange” form of passivation. Since some design conditions will be released due to using the mentioned method and definitions, the process of analysis and design will be simplified. The proposed passivity-based controller has been applied to treat hepatitis B virus infection disease in several scenarios. All the proposed definitions have been validated by the simulation results.