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Predictor-Based Feedback Control for Discrete-Time Time-Variant Linear State-Delayed Systems With Distinct Input
IEEE Transactions on Cybernetics
|March 18, 2025
Summary
This study addresses stabilization for discrete-time systems with state delays and distinct input delays. A novel predictor-based feedback law effectively stabilizes these complex systems, verified by numerical examples.
Area of Science:
- Control Systems Engineering
- Systems Theory
- Applied Mathematics
Background:
- Discrete-time time-variant linear systems with state delays present significant control challenges.
- Distinct input delays further complicate the stabilization problem, requiring advanced control strategies.
Purpose of the Study:
- To develop a method for stabilizing discrete-time time-variant linear state-delayed systems with distinct input delays.
- To design a predictor-based feedback law for achieving system stabilization.
Main Methods:
- Construction of a concise and explicit predictor using state transition matrices.
- Design of a predictor-based feedback law based on the proposed prediction scheme.
- Analysis of the closed-loop system's characteristic equation.
Main Results:
- A novel predictor is developed for discrete-time time-variant linear state-delayed systems with distinct input delays.
- The predictor-based feedback law successfully stabilizes the considered system.
- For time-invariant systems, the characteristic equation matches that of systems without distinct input delays.
Conclusions:
- The proposed predictor-based feedback law is effective for stabilizing discrete-time time-variant linear state-delayed systems with distinct input delays.
- The method offers a robust solution for complex control scenarios.
- Numerical examples confirm the practical applicability and effectiveness of the approach.
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