|Less Conservative Robust Stabilization Conditions for the Uncertain Polynomial Fuzzy System under Perfect and Imperfect Premise Matching
Han Sol Kim, Jin Bae Park*, and Young Hoon Joo
International Journal of Control, Automation, and Systems, vol. 14, no. 6, pp.1588-1598, 2016
Abstract : "By introducing some slack matrices, this paper proposes less conservative robust stabilization conditions
for the polynomial fuzzy system with parametric uncertainties. In the proposed methods, no inverse polynomial
matrices are chosen as the decision variables so that each element of the gain and the Lyapunov matrices can be
guaranteed to strictly be a polynomial function. Therefore, the hardware implementation cost of operating the
proposed controller is reduced because no rational functions need to be computed. Moreover, the fuzzy controllers
are designed under perfect and imperfect premise matching conditions to enhance the design flexibility. Finally,
some numerical examples are given to demonstrate the effectiveness of the proposed methods."
Keyword : Perfect and imperfect premise matching condition, polynomial fuzzy system, relaxed stabilization condition, robust stabilization condition.