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001 978-3-319-42126-1
003 DE-He213
005 20220801222251.0
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020 _a9783319421261
_9978-3-319-42126-1
024 7 _a10.1007/978-3-319-42126-1
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aGPFC
_2bicssc
072 7 _aTEC004000
_2bisacsh
072 7 _aTJFM
_2thema
082 0 4 _a629.8312
_223
082 0 4 _a003
_223
100 1 _aLocatelli, Arturo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_960586
245 1 0 _aOptimal Control of a Double Integrator
_h[electronic resource] :
_bA Primer on Maximum Principle /
_cby Arturo Locatelli.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aX, 311 p. 117 illus., 46 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v68
505 0 _aIntroduction -- The Maximum Principle -- Integral constraints -- Punctual and isolated constrains -- Punctual and global constraints -- Singular arcs -- Simple constraints: J = ʃ , x(t0) = given -- Simple constraints: J = ʃ , x(t0) = not given -- Simple constraints: J = ʃ + m,… -- Non standard constraints on ... -- Minimum time problems -- References.
520 _aThis book provides an introductory yet rigorous treatment of Pontryagin’s Maximum Principle and its application to optimal control problems when simple and complex constraints act on state and control variables, the two classes of variable in such problems. The achievements resulting from first-order variational methods are illustrated with reference to a large number of problems that, almost universally, relate to a particular second-order, linear and time-invariant dynamical system, referred to as the double integrator. The book is ideal for students who have some knowledge of the basics of system and control theory and possess the calculus background typically taught in undergraduate curricula in engineering. Optimal control theory, of which the Maximum Principle must be considered a cornerstone, has been very popular ever since the late 1950s. However, the possibly excessive initial enthusiasm engendered by its perceived capability to solve any kind of problem gave way to its equally unjustified rejection when it came to be considered as a purely abstract concept with no real utility. In recent years it has been recognized that the truth lies somewhere between these two extremes, and optimal control has found its (appropriate yet limited) place within any curriculum in which system and control theory plays a significant role.
650 0 _aControl engineering.
_931970
650 0 _aSystem theory.
_93409
650 0 _aControl theory.
_93950
650 0 _aMathematical optimization.
_94112
650 0 _aCalculus of variations.
_917382
650 1 4 _aControl and Systems Theory.
_931972
650 2 4 _aSystems Theory, Control .
_931597
650 2 4 _aCalculus of Variations and Optimization.
_931596
710 2 _aSpringerLink (Online service)
_960587
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319421254
776 0 8 _iPrinted edition:
_z9783319421278
776 0 8 _iPrinted edition:
_z9783319825045
830 0 _aStudies in Systems, Decision and Control,
_x2198-4190 ;
_v68
_960588
856 4 0 _uhttps://doi.org/10.1007/978-3-319-42126-1
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c80579
_d80579