TY - GEN
T1 - Recurrent Takagi-Sugeno fuzzy interpolation for switched linear systems and hybrid automata
AU - Diepold, Klaus J.
AU - Pieczona, Sebastian J.
PY - 2012
Y1 - 2012
N2 - A novel perspective of fuzzy control is introduced, by combining a continuous Takagi-Sugeno (TSFS) with a discrete-time recurrent fuzzy system (RFS). The developed hybrid dynamic recurrent Takagi-Sugeno fuzzy approach enables a recurrent rule base, which leads to a dynamical interpolation law between linear subsystems. The formalism is applicable to switched systems and hybrid automaton models. The stability concerning switched systems is ensured by a common quadratic Lyapunov function. Additionally, two multiple Lyapunov function-based stability relaxation conditions are shown. For the hybrid automaton case, practical stability is analyzed. The performance of the approach is validated by simulating a car distance control system (hybrid automaton) and an experimental application to an inverted pendulum (switched control).
AB - A novel perspective of fuzzy control is introduced, by combining a continuous Takagi-Sugeno (TSFS) with a discrete-time recurrent fuzzy system (RFS). The developed hybrid dynamic recurrent Takagi-Sugeno fuzzy approach enables a recurrent rule base, which leads to a dynamical interpolation law between linear subsystems. The formalism is applicable to switched systems and hybrid automaton models. The stability concerning switched systems is ensured by a common quadratic Lyapunov function. Additionally, two multiple Lyapunov function-based stability relaxation conditions are shown. For the hybrid automaton case, practical stability is analyzed. The performance of the approach is validated by simulating a car distance control system (hybrid automaton) and an experimental application to an inverted pendulum (switched control).
UR - http://www.scopus.com/inward/record.url?scp=84867614355&partnerID=8YFLogxK
U2 - 10.1109/FUZZ-IEEE.2012.6251180
DO - 10.1109/FUZZ-IEEE.2012.6251180
M3 - Conference contribution
AN - SCOPUS:84867614355
SN - 9781467315067
T3 - IEEE International Conference on Fuzzy Systems
BT - 2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012
T2 - 2012 IEEE International Conference on Fuzzy Systems, FUZZ 2012
Y2 - 10 June 2012 through 15 June 2012
ER -