<p>This paper studies the constrained output regulation problem for positive switched systems using a mode-dependent average dwell time switching method. Two scenarios are considered: one in which all system states are fully available, and another in which only the output tracking errors are measurable. Correspondingly, state-feedback and error-feedback regulators are developed. For both scenarios, a coordinate transformation is first introduced to reformulate the output regulation problem as a stabilization problem in terms of the transformed state variables. We then employ multiple linear copositive Lyapunov functions to design these regulators, integrating a mode-dependent average dwell time switching law to ensure system stability, achieve asymptotic tracking of the reference signals, and preserve system positivity. Finally, two numerical examples are provided to verify the effectiveness of the proposed control strategies and demonstrate their practical implementation in positive switched systems.</p>

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Constrained output regulation of positive switched systems with mode-dependent average dwell time

  • Yajie Yu,
  • Haichao Zhu,
  • Weiyao Lan

摘要

This paper studies the constrained output regulation problem for positive switched systems using a mode-dependent average dwell time switching method. Two scenarios are considered: one in which all system states are fully available, and another in which only the output tracking errors are measurable. Correspondingly, state-feedback and error-feedback regulators are developed. For both scenarios, a coordinate transformation is first introduced to reformulate the output regulation problem as a stabilization problem in terms of the transformed state variables. We then employ multiple linear copositive Lyapunov functions to design these regulators, integrating a mode-dependent average dwell time switching law to ensure system stability, achieve asymptotic tracking of the reference signals, and preserve system positivity. Finally, two numerical examples are provided to verify the effectiveness of the proposed control strategies and demonstrate their practical implementation in positive switched systems.