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題名 | Decentralized Control of a Class of Nonlinear Time-Varying Interconnected Systems=非線性時變互連系統之非集中型控制 |
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作者 | 茆政吉; 林巍聳; | 書刊名 | 中國工程學刊 |
卷期 | 14:1 1991.01[民80.01] |
頁次 | 頁73-78 |
分類號 | 448.942 |
關鍵詞 | 非集中型控制; 非線性; 時變互連系統; |
語文 | 英文(English) |
中文摘要 | 針對非線性項及非線性互應作用可視為子系統輸入之非線性時變的互連動態系統 ,本論文提出一個使整體系統具有預設穩定收斂速率之完全非集中型控制法則。本法則首先 對線性化且解藕之各個子系統做最佳控制的設計,再將所求得之最佳回饋增益乘以適當的倍 數,以補償非線性及互應作用對系統的影響,所求得的回饋增益只與非線性項的 Lipschitz 常數有關,而與其模式無關。文中並推導出本控制法則可穩定的條件為所有子系統的均勻完 全可控制性,且具有預設的穩定度以及對於結構性擾動的強健性。文中並對一個簡單的非線 性時變系統以及一個三單擺系統做電腦模擬,以展現本控制法則的實用性。 |
英文摘要 | This paper presents a completely decentralized control scheme for nonlinear time-varying interconnected systems where the nonlinearity and the interaction associated with each subsystem can be considered as part of the subsystem input. By modifying the control law for the local optimal control of each subsystem with the nonlinearity and the interaction being neglected, the local feedback gains depend only on the local or global Lipschitz constants of these nonlinear terms with respect to the equilibrium point, no matter what their models are. The stability condition of the global system is proved to be only the uniformly complete controllability of the subsystems. This approach can guarantee not only an exponentially convergent rate but also a connective stability in the sense of Siljak. Computer simulations of two examples are demonstrated; one is a simple nonlinear time-varying system and the other is a three-pendulum nonlinear system which has a structure similar to the multi-machine power systems. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。