dissipative control for singularly perturbed fuzzy systems with Polya theorem

• Main Authors: Sheng-Yi Gau, 高聖鎰
• Other Authors: Ji-Chang Lo
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/92895492638439059786

碩士 === 國立中央大學 === 機械工程研究所 === 96 === In this thesis, we propose a general quadratic dissipative state feedback control method to solve a stabilization problem for fuzzy singularlyperturbed system. The problem covers the bounded real, positive realand sector-bounded performance as a special case by choosing the corresponding quadratic supply rate. Moreover, we also prove necessary and sufficient conditions to state feedback controllers ensuring quadratic stability for Takagi-Sugeno fuzzy systems in theory. But our main objective is to generate a family of linear matrix inequalities based on an extension of P´olya’s theorem(a.k.a Matrix-valued P´olya’s heorem). The proposed conditions are stated as progressively less conservative sets of linear matrix inequalities, allowing us to obtain a solution for the quadratic stabilizability problem whenever a solution exists.