H∞ 連續模糊系統之控制設計-寬鬆穩定條件∞;SOS-based H∞ Fuzzy Controller Desging-Relaxation Method

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题名:	H∞ 連續模糊系統之控制設計-寬鬆穩定條件∞;SOS-based H∞ Fuzzy Controller Desging-Relaxation Method
作者:	陳定穎;Chen,Ting-ying
贡献者:	機械工程學系
关键词:	平方和;Takagi-Sugeno模糊系統;H1控制;非二次穩定;參數相依齊次多項式;尤拉齊次多項式定理;Sum of squares;T-S fuzzy systems;H1 control;Non-quadratic stability;HPPD;Euler′s Theorem for Homogeneous Functions
日期:	2015-07-30
上传时间:	2015-09-23 15:09:47 (UTC+8)
出版者:	國立中央大學
摘要:	李亞普諾夫能量函數V (x)對時間t微分會產生Q(x)微分項的過程，為了要避免這個複雜的問題，則引入尤拉齊次多項式定理，本論文主要在研究在連續模糊控制系統下的非二次穩定(Non-quadratic stability)，且加入H1性能指標的觀念，亦即非二次穩定李亞普諾夫(Lyapunov function)能量函數V (x) = xT adj(Qz(x))x，而藉由尤拉齊次多項式定理(Euler′s Theorem for Homogeneous Functions)可導出H1控制之李亞普諾夫不等式檢測穩定矩陣，輔以平方和(Sum of square)去檢驗其連續模糊系統之穩定條件，最後去模擬例子，來證明此方法之正確性 i;Lyapunov energy function V (x) for time di erential will gener- ate Q(x) process derivative term, in order to avoid this complex is- sue, the lead to Euler′s homogeneous polynomial theorem, this the- sis research in continuous fuzzy control system nonquadratic stable (Non-quadratic stability), and added performance concept of H1 , namely non-quadratic Lyapunov stability (Lyapunov function) energy function V (x) = xT adj(Qz(x))x , and by Euler homogeneous poly- nomial Theorem (Euler′s Theorem for Homogeneous Functions) can be exported H1 control of Lyapunov inequality detection stabilizing matrix, supplemented square and (Sum of square) to test its stability conditions of continuous fuzzy systems, and nally to simulate exam- ple, to prove the correctness of this approach ii
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