SOS-based H∞ Fuzzy Controller Desging-Relaxation Method

• Main Authors: Ting-ying Chen, 陳定穎
• Other Authors: Lo, Ji-Chang
• Format: Others
• Language: zh-TW
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/cu5zkh

碩士 === 國立中央大學 === 機械工程學系 === 103 === Lyapunov energy function V (x) for time dierential 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