TY - JOUR
T1 - Quadratic stability analysis and design of continuous-time fuzzy control systems
AU - Cao, S. G.
AU - Rees, N. W.
AU - Feng, G.
PY - 1996
Y1 - 1996
N2 - This paper presents a design method for fuzzy control systems. The method is based on a fuzzy state-space model A suitable piecewise smooth quadratic (PSQ) Lyapunov function is used to establish asymptotic stability of the closed-loop system. With the PSQ Lyapunov function a kind of global controller design method can be developed, and thus the disadvantage of using fixed P in the Lyapunov function can be overcome. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of certain algebraic Riccati equations. An example is given to illustrate the application of the method.
AB - This paper presents a design method for fuzzy control systems. The method is based on a fuzzy state-space model A suitable piecewise smooth quadratic (PSQ) Lyapunov function is used to establish asymptotic stability of the closed-loop system. With the PSQ Lyapunov function a kind of global controller design method can be developed, and thus the disadvantage of using fixed P in the Lyapunov function can be overcome. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of certain algebraic Riccati equations. An example is given to illustrate the application of the method.
UR - http://www.scopus.com/inward/record.url?scp=0030082591&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0030082591&origin=recordpage
U2 - 10.1080/00207729608929204
DO - 10.1080/00207729608929204
M3 - RGC 21 - Publication in refereed journal
SN - 0020-7721
VL - 27
SP - 193
EP - 203
JO - International Journal of Systems Science
JF - International Journal of Systems Science
IS - 2
ER -