A New Approach to the Control Design of Fuzzy Dynamical Systems

作者：Chen Ye Hwa^*

来源：Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, 2011, 133(6): 061019.

DOI：10.1115/1.4004579

• fuzzy dynamical systems
• fuzzy set theory
• robust control
• optimal design

A new approach to the control design for fuzzy dynamical systems is proposed. For a fuzzy dynamical system, the uncertainty lies within a fuzzy set. The desirable system performance is twofold: one deterministic and one fuzzy. While the deterministic performance assures the bottom line, the fuzzy performance enhances the cost consideration. Under this setting, a class of robust controls is proposed. The control is deterministic and is not if-then rules-based. An optimal design problem associated with the control is then formulated as a constrained optimization problem. We show that the problem can be solved and the solution exists and is unique. The closed-form solution and cost are explicitly shown. The resulting control is able to guarantee the prescribed deterministic performance and minimize the average fuzzy performance. [DOI: 10.1115/1.4004579]

• 出版日期2011-11