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L2-Gain and Passivity Techniques in Nonlinear Control (Hardcover, 3rd ed. 2017)
Loot Price: R6,181
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L2-Gain and Passivity Techniques in Nonlinear Control (Hardcover, 3rd ed. 2017)
Series: Communications and Control Engineering
Expected to ship within 12 - 17 working days
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This standard text gives a unified treatment of passivity and
L2-gain theory for nonlinear state space systems, preceded by a
compact treatment of classical passivity and small-gain theorems
for nonlinear input-output maps. The synthesis between passivity
and L2-gain theory is provided by the theory of dissipative
systems. Specifically, the small-gain and passivity theorems and
their implications for nonlinear stability and stabilization are
discussed from this standpoint. The connection between L2-gain and
passivity via scattering is detailed. Feedback equivalence to a
passive system and resulting stabilization strategies are
discussed. The passivity concepts are enriched by a generalised
Hamiltonian formalism, emphasising the close relations with
physical modeling and control by interconnection, and leading to
novel control methodologies going beyond passivity. The potential
of L2-gain techniques in nonlinear control, including a theory of
all-pass factorizations of nonlinear systems, and of
parametrization of stabilizing controllers, is demonstrated. The
nonlinear H-infinity optimal control problem is also treated and
the book concludes with a geometric analysis of the solution sets
of Hamilton-Jacobi inequalities and their relation with Riccati
inequalities for the linearization. * L2-Gain and Passivity
Techniques in Nonlinear Control (third edition) is thoroughly
updated, revised, reorganized and expanded. Among the changes,
readers will find: * updated and extended coverage of dissipative
systems theory * substantial new material regarding converse
passivity theorems and incremental/shifted passivity * coverage of
recent developments on networks of passive systems with examples *
a completely overhauled and succinct introduction to modeling and
control of port-Hamiltonian systems, followed by an exposition of
port-Hamiltonian formulation of physical network dynamics * updated
treatment of all-pass factorization of nonlinear systems The book
provides graduate students and researchers in systems and control
with a compact presentation of a fundamental and rapidly developing
area of nonlinear control theory, illustrated by a broad range of
relevant examples stemming from different application areas.
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