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Observer-based stabilization for switched positive system with mode-dependent average dwell time.

Yu Ren1, Guanghui Sun1, Zhiguang Feng2

  • 1Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China.

ISA Transactions
|July 24, 2017
PubMed
Summary
This summary is machine-generated.

This study addresses exponential stabilization for switched positive systems with unmeasurable states. New methods using quasi-time variables achieve less conservative stabilization controllers and observers, improving system convergence.

Keywords:
Mode-dependent average dwell timeObserver-basedQuasi-time-dependentSwitched positive system

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Area of Science:

  • Control Theory
  • Systems Engineering
  • Nonlinear Dynamics

Background:

  • Switched positive systems present unique challenges in control design due to their hybrid nature.
  • Partial state unmeasurability complicates the design of effective stabilization strategies.
  • Existing methods often lack conservativeness, leading to suboptimal performance.

Purpose of the Study:

  • To investigate the exponential stabilization of switched positive systems with partially unmeasurable states.
  • To introduce and apply quasi-time variables for analyzing systems with mode-dependent average dwell time (MDADT).
  • To design observer-based controllers that are both mode-dependent and quasi-time-dependent.

Main Methods:

  • Utilizing quasi-time variables to analyze stability for switched nonlinear and linear systems under MDADT.
  • Developing observer-based controllers for both single-input and multi-input systems.
  • Comparing the conservativeness of mode-dependent and quasi-time-dependent controllers.

Main Results:

  • New stability criteria are established for switched systems with MDADT using quasi-time variables.
  • Observer-based controllers are designed to ensure exponential convergence of the closed-loop system.
  • The proposed quasi-time-dependent controllers and observers demonstrate reduced conservativeness compared to mode-dependent approaches.

Conclusions:

  • The developed methodology effectively achieves exponential stabilization for the considered class of switched positive systems.
  • The use of quasi-time variables offers a less conservative approach to controller and observer design.
  • A simplified design strategy is presented to reduce computational complexity, enhancing practical applicability.