Robust stabilization for a class of uncertain switched linear systems
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摘要: 考慮一類標稱系統存在統一Lyapunov函數的線性不確定切換系統的魯棒鎮定問題,在不確定項滿足一定限定條件下,利用完備性條件和統一Lyapunov函數方法,設計出魯棒狀態反饋控制器,使閉環系統仍然具有統一Lyapunov函數,從而在任意的切換策略下,確保閉環系統在其平衡點處是漸近穩定的.仿真結果表明所設計的控制器是有效的.
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關鍵詞:
- 切換系統 /
- 完備性 /
- Lyapunov函數 /
- 狀態反饋 /
- 魯棒鎮定
Abstract: Robust stabilization for a class of uncertain switched linear systems whose nominal systems have a common Lyapunov function was considered. With the certain restriction of uncertainty, a kind of robust controller of state feedback was constructed by using the completeness condition and common Lyapunov function technique. The closed-loop system still has a common Lyapunov function. The designed controller can guarantee the states of the closed-loop system asymptotically stable at the equilibrium point under an arbitrary switching strategy. Simulation result shows the validity of the designed controller.-
Key words:
- switched linear systems /
- completeness /
- Lyapunov function /
- state feedback /
- robust stabilization
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