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Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering
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Optimal Control Theory - The Variational Method (Paperback, 1st ed. 2021)
Loot Price: R2,389
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Optimal Control Theory - The Variational Method (Paperback, 1st ed. 2021)
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This book focuses on how to implement optimal control problems via
the variational method. It studies how to implement the extrema of
functional by applying the variational method and covers the
extrema of functional with different boundary conditions, involving
multiple functions and with certain constraints etc. It gives the
necessary and sufficient condition for the (continuous-time)
optimal control solution via the variational method, solves the
optimal control problems with different boundary conditions,
analyzes the linear quadratic regulator & tracking problems
respectively in detail, and provides the solution of optimal
control problems with state constraints by applying the
Pontryagin's minimum principle which is developed based upon the
calculus of variations. And the developed results are applied to
implement several classes of popular optimal control problems and
say minimum-time, minimum-fuel and minimum-energy problems and so
on. As another key branch of optimal control methods, it also
presents how to solve the optimal control problems via dynamic
programming and discusses the relationship between the variational
method and dynamic programming for comparison. Concerning the
system involving individual agents, it is also worth to study how
to implement the decentralized solution for the underlying optimal
control problems in the framework of differential games. The
equilibrium is implemented by applying both Pontryagin's minimum
principle and dynamic programming. The book also analyzes the
discrete-time version for all the above materials as well since the
discrete-time optimal control problems are very popular in many
fields.
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