This paper presents a new intelligent digital redesign (IDR) method for uncertain nonlinear systems which are represented by a Takagi-Sugeno (T-S) fuzzy model. The term IDR involves converting an analog controller into an equivalent digital one in the sense of state-matching. The IDR problem can be reduced to finding the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital control systems. The uncertainties in the plant dynamics are considered in the IDR condition that plays an important role in the performance improvement. Also, the robust stability is well guaranteed in the proposed IDR procedure. Its constructive conditions are expressed as linear matrix inequalities (LMIs). Two numerical examples, the chaotic Lorenz system and the Qi system, are demonstrated to visualize the feasibility of the proposed methodology.
Bibliographical noteFunding Information:
This work has been supported by Yonsei University Institute of TMS Information Technology, a Brain Korea 21 program Korea. This work has also been supported by Manpower Development Program for Energy and Resources of MKE with Yonsei Electric Power Research Center (YEPRC) at Yonsei University, Seoul, Korea.
All Science Journal Classification (ASJC) codes
- Artificial Intelligence