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This monograph introduces a newly developed robust-control design
technique for a wide class of continuous-time dynamical systems
called the "attractive ellipsoid method." Along with a coherent
introduction to the proposed control design and related topics, the
monograph studies nonlinear affine control systems in the presence
of uncertainty and presents a constructive and easily implementable
control strategy that guarantees certain stability properties. The
authors discuss linear-style feedback control synthesis in the
context of the above-mentioned systems. The development and
physical implementation of high-performance robust-feedback
controllers that work in the absence of complete information is
addressed, with numerous examples to illustrate how to apply the
attractive ellipsoid method to mechanical and electromechanical
systems. While theorems are proved systematically, the emphasis is
on understanding and applying the theory to real-world situations.
Attractive Ellipsoids in Robust Control will appeal to
undergraduate and graduate students with a background in modern
systems theory as well as researchers in the fields of control
engineering and applied mathematics.
This monograph introduces a newly developed robust-control design
technique for a wide class of continuous-time dynamical systems
called the "attractive ellipsoid method." Along with a coherent
introduction to the proposed control design and related topics, the
monograph studies nonlinear affine control systems in the presence
of uncertainty and presents a constructive and easily implementable
control strategy that guarantees certain stability properties. The
authors discuss linear-style feedback control synthesis in the
context of the above-mentioned systems. The development and
physical implementation of high-performance robust-feedback
controllers that work in the absence of complete information is
addressed, with numerous examples to illustrate how to apply the
attractive ellipsoid method to mechanical and electromechanical
systems. While theorems are proved systematically, the emphasis is
on understanding and applying the theory to real-world situations.
Attractive Ellipsoids in Robust Control will appeal to
undergraduate and graduate students with a background in modern
systems theory as well as researchers in the fields of control
engineering and applied mathematics.
A Relaxation Based Approach to Optimal Control of Hybrid and
Switched Systems proposes a unified approach to effective and
numerically tractable relaxation schemes for optimal control
problems of hybrid and switched systems. The book gives an overview
of the existing (conventional and newly developed) relaxation
techniques associated with the conventional systems described by
ordinary differential equations. Next, it constructs a
self-contained relaxation theory for optimal control processes
governed by various types (sub-classes) of general hybrid and
switched systems. It contains all mathematical tools necessary for
an adequate understanding and using of the sophisticated relaxation
techniques. In addition, readers will find many practically
oriented optimal control problems related to the new class of
dynamic systems. All in all, the book follows engineering and
numerical concepts. However, it can also be considered as a
mathematical compendium that contains the necessary formal results
and important algorithms related to the modern relaxation theory.
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