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A passivation control design procedure for linear time-invariant continuous systems is proposed. It is shown that the Individual Channel Analysis and Design (ICAD) is an effective framework for the design of multivariable passive control systems. The results presented are valid for the general m \(\times \) m case, but for the sake of clarity, two-input-two-output systems are considered. It is demonstrated that passivation can be achieved by: pre- or post-compensation, feed-forward, and feedback. The influence of the non-diagonal elements of the transfer matrix on the design of MIMO passive systems is clearly established. This fact is demonstrated through the Multivariable Passive Function introduced here. A set of examples has been specially devised to show in detail the design procedure.

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Passivity Conditions for Linear 2 \(\times \) 2 Multivariable Systems Based on a Classical Control Framework of Analysis and Design

  • 会议论文

  • 发表日期：

    2026年

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  • J. U. Liceaga-Castro,
  • E. Liceaga-Castro,
  • I. I. Siller-Alcalá,
  • L. A. Amezquita-Brooks,
  • J. D. González-San Román

摘要

A passivation control design procedure for linear time-invariant continuous systems is proposed. It is shown that the Individual Channel Analysis and Design (ICAD) is an effective framework for the design of multivariable passive control systems. The results presented are valid for the general m \(\times \) m case, but for the sake of clarity, two-input-two-output systems are considered. It is demonstrated that passivation can be achieved by: pre- or post-compensation, feed-forward, and feedback. The influence of the non-diagonal elements of the transfer matrix on the design of MIMO passive systems is clearly established. This fact is demonstrated through the Multivariable Passive Function introduced here. A set of examples has been specially devised to show in detail the design procedure.