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Analysis of Discrete-Time Switched Linear Systems Under Logical Dynamic Switching
IEEE Transactions on Neural Networks and Learning Systems
|November 5, 2024
Summary
This study uses the semitensor product (STP) approach to analyze control properties of switched linear systems (SLSs) driven by logical dynamical systems. It provides criteria and algorithms for system analysis and signal realization.
Area of Science:
- Control theory
- Systems engineering
- Discrete-time systems
Background:
- Switched linear systems (SLSs) are crucial in modern control applications.
- Understanding control properties like controllability is essential for SLS design.
- Logical dynamical systems offer a novel approach to generating switching signals.
Purpose of the Study:
- To investigate the control properties of discrete-time switched linear systems (SLSs).
- To utilize the semitensor product (STP) approach for analyzing SLSs with logical signal generators.
- To address realization problems for switching signals generated by logical dynamical systems.
Main Methods:
- Application of the semitensor product (STP) approach.
- Development of an algebraic state-space representation (ASSR) for hybrid systems.
- Formulation of algorithms for checking reachability, controllability, observability, and reconstructibility.
Main Results:
- Established criteria for key control properties of SLSs driven by logical dynamical systems.
- Developed algorithms to efficiently check these system properties.
- Provided necessary and sufficient conditions for the realizability of desired switching signals under fixed operating time (FOT) and finite reference signal switching.
Conclusions:
- The STP approach effectively unifies the analysis of linear modes and logical generators in SLSs.
- The study offers a comprehensive framework for analyzing and realizing control properties in complex switched systems.
- The findings are applicable to the design of advanced control systems with sophisticated switching logic.
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