Abstract
Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Examples of using the obtained results are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 81-98 |
| Number of pages | 18 |
| Journal | Archives of Control Sciences |
| Volume | 31 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Affine systems
- Discrete-time systems
- Periodic systems
- State feedback
- Uniform global asymptotic stabilization
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization
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