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Properties of blocked linear systems.

Weitian Chen1, Brian D O Anderson, Manfred Deistler

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This study analyzes blocked linear systems derived from discrete-time systems. It explores system properties, particularly zero properties, and establishes new relationships between blocked and unblocked systems.

Keywords:
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Area of Science:

  • Control theory
  • System dynamics
  • Linear systems analysis

Background:

  • Discrete-time linear time-invariant (LTI) systems are fundamental in control engineering.
  • Blocking techniques are used to modify system dynamics, but their properties require detailed investigation.
  • Existing literature lacks comprehensive analysis of the zero properties in blocked LTI systems.

Purpose of the Study:

  • To systematically investigate the properties of blocked linear systems.
  • To establish the relationship between blocked and unblocked discrete-time LTI systems.
  • To specifically focus on and derive new results concerning the zero properties of blocked systems.

Main Methods:

  • Review of existing results on blocked systems.
  • Derivation of new theoretical results.
  • Systematic analysis of zero properties.

Main Results:

  • Established new relationships between blocked and unblocked discrete-time LTI systems.
  • Characterized the zero properties of blocked systems.
  • Provided a systematic study on blocked system properties, filling a gap in the literature.

Conclusions:

  • The study provides a comprehensive understanding of blocked linear systems.
  • New insights into the zero properties of these systems have been developed.
  • The findings contribute to the theoretical foundation of discrete-time system analysis and control.