This monograph puts the reader in touch with a decade s worth of
new developments in the field of fuzzy control specifically those
of the popular Takagi Sugeno (T S) type. New techniques for
stabilizing control analysis and design of arebased on multiple
Lyapunov functions and linear matrix inequalities (LMIs). All the
results are illustrated with numerical examples and figures and a
rich bibliography is provided for further investigation.
Control saturations are taken into account within the fuzzy model.
The concept of positive invariance is used to obtain sufficient
conditions of asymptotic stability for the global fuzzy system with
constrained control inside a subset of the state space.
The authors also consider the non-negativity of the states. This is
of practical importance in many chemical, physical and biological
processes that involve quantities that have intrinsically constant
and non-negative sign: concentration of substances, level of
liquids, etc. Results for linear systems are then extended to
systems with delay. It is shown that LMI techniques can usually
only handle the new constraint of non-negativity of the states when
care is taken to use an adequate Lyapunov function. From these
foundations, the following further problems are also treated:
asymptotic stabilization of uncertain T-S fuzzy systems with
time-varying delay, focusing on delay-dependent stabilization
synthesis based on parallel distribution control;asymptotic
stabilization of uncertain T-S fuzzy systems with multiple delays,
focusing on delay-dependent stabilization synthesis based on
parallel distribution control with results obtained under linear
programming;design of delay-independent, observer-based, H-infinity
control for T S fuzzy systems with time varying delay;
andasymptotic stabilization of 2-d T S fuzzy systems.
"Advanced Takagi Sugeno Fuzzy Systems "provides researchers and
graduate students interested in fuzzy control systems with further
reliable means for maintaining stability and performance even when
a sensor and/or actuator malfunctions."
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