In terms of Lyapunov's direct method, a stability criterion is derived to guarantee the stability of the system especially for the resonant and chaotic systems. The common P matrix of the criterion is obtained by using linear matrix inequality (LMI) optimization algorithms to solve the robust fuzzy control problem. Based on the control scheme and this criterion, a fuzzy controller is then designed via the technique of parallel distributed compensation (PDC) to stabilize the nonlinear system. Finally, the proposed controller design method is demonstrated through numerical simulations on the chaotic and resonant systems.
Chiang, Wei-Ling; Chen, Treng-Wu; Liu, Ming-Yi; and Hsu, Chun-Jung
"Application and Robust H??control of PDC fuzzy Controller for Nonlinear Systems with External Disturbance,"
Journal of Marine Science and Technology: Vol. 9
, Article 3.
Available at: https://jmstt.ntou.edu.tw/journal/vol9/iss2/3