TY - GEN
T1 - Relaxed stability condition for polynomial fuzzy system
T2 - 2013 13th International Conference on Control, Automation and Systems, ICCAS 2013
AU - Kim, Han Sol
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2013
Y1 - 2013
N2 - In this paper, relaxed stability of polynomial fuzzy system is considered. Proposed relaxed stability condition is based on the non-quadratic Lyapunov function (NQLF). Since the condition that contains the time derivative of the fuzzy weighting function (FWF) cannot be casted into linear matrix inequality (LMI) condition, various researches arbitrarily set the bound of its magnitude. To solve this problem, in this paper, the stability condition is directly calculated without setting the bound of magnitude of the time derivative of the FWF, and the condition is casted into sum-of-square (SOS) condition. Finally, to prove the superiority of proposed method, simulation example is given.
AB - In this paper, relaxed stability of polynomial fuzzy system is considered. Proposed relaxed stability condition is based on the non-quadratic Lyapunov function (NQLF). Since the condition that contains the time derivative of the fuzzy weighting function (FWF) cannot be casted into linear matrix inequality (LMI) condition, various researches arbitrarily set the bound of its magnitude. To solve this problem, in this paper, the stability condition is directly calculated without setting the bound of magnitude of the time derivative of the FWF, and the condition is casted into sum-of-square (SOS) condition. Finally, to prove the superiority of proposed method, simulation example is given.
UR - http://www.scopus.com/inward/record.url?scp=84893572337&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893572337&partnerID=8YFLogxK
U2 - 10.1109/ICCAS.2013.6703954
DO - 10.1109/ICCAS.2013.6703954
M3 - Conference contribution
AN - SCOPUS:84893572337
SN - 9788993215052
T3 - International Conference on Control, Automation and Systems
SP - 673
EP - 676
BT - ICCAS 2013 - 2013 13th International Conference on Control, Automation and Systems
Y2 - 20 October 2013 through 23 October 2013
ER -