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Advanced Takagi-Sugeno Fuzzy Systems - Delay and Saturation (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R5,118
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Advanced Takagi-Sugeno Fuzzy Systems - Delay and Saturation (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Studies in Systems, Decision and Control, 8
Expected to ship within 10 - 15 working days
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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 based on multiple Lyapunov
functions and linear matrix inequalities (LMIs), are proposed. 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
asymptotic stability conditions for the 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
linear systems with delay. It is shown that LMI techniques can
usually 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 distributed controller (PDC); *
asymptotic stabilization of uncertain T-S fuzzy systems with
multiple delays, focusing on delay-dependent stabilization
synthesis based on PDC with results obtained under linear
programming; * design of delay-independent, observer-based,
H-infinity control for T-S fuzzy systems with time varying delay;
and * asymptotic 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
approaches based LMI and LP.
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