Design of an optimal preview controller for a kind of discrete-time system with time-delay
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摘要: 研究了一類具有狀態時滯的多采樣率離散時間控制系統,對這類系統給出了一種最優預見控制器的設計方法.首先利用離散時間系統提升技術,把所研究的系統轉化成單一采樣的擴大系統;然后利用構造擴大誤差系統的方法引入積分器;再對擴大誤差系統應用通常的線性二次型最優預見伺服系統設計方法設計控制器,從而得到原系統的最優預見控制器.同時還對擴大誤差系統的能控性和能觀測性進行了討論,并通過數值仿真說明了控制器的有效性.
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關鍵詞:
- 預見控制 /
- 多采樣率數字控制系統 /
- 離散提升技術 /
- 代數RICCATI方程 /
- 伺服系統 /
- 時滯系統
Abstract: A kind of linear discrete-time system with state time-delay and multirate control setting was studied. By using the methods of lifting technique, difference operator and state vector augmentation, the state equation was changed to another equation with no time-delay. And the multirate preview control problem was reduced to the single-rate one which includes an integrator. The desired preview controller was obtained by the standard linear quadratic (LQ) optimal preview control theory. The applicability of the present results was verified by a numerical example. -

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