000 04508nam a22004695i 4500
001 978-3-319-02827-9
003 DE-He213
005 20170628034049.0
007 cr nn 008mamaa
008 131211s2014 gw | s |||| 0|eng d
020 _a9783319028279
_9978-3-319-02827-9
024 7 _a10.1007/978-3-319-02827-9
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aNguyen, Hoai-Nam.
_eauthor.
245 1 0 _aConstrained Control of Uncertain, Time-Varying, Discrete-Time Systems
_h[electronic resource] :
_bAn Interpolation-Based Approach /
_cby Hoai-Nam Nguyen.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXIV, 196 p. 97 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v451
505 0 _aIntroduction -- Part I Background -- Set-Theoretic Methods in Control -- Optimal and Constrained Control: An Overview -- Part II Interpolating Control -- Interpolating Control: Nominal State Feedback Case -- Interpolating Control: Robust State Feedback Case -- Interpolating Control: Output Feedback Case -- Part III Applications -- High-order Examples -- A Benchmark Problem: The Non-Isothermal Continuous Stirred Tank Reactor.
520 _aA comprehensive development of interpolating control, this monograph demonstrates the reduced computational complexity of a ground-breaking technique compared with the established model predictive control. The text deals with the regulation problem for linear, time-invariant, discrete-time uncertain dynamical systems having polyhedral state and control constraints, with and without disturbances, and under state or output feedback. For output feedback a non-minimal state-space representation is used with old inputs and outputs as state variables. Constrained Control of Uncertain, Time-Varying, Discrete-time Systems details interpolating control in both its implicit and explicit forms. In the former at most two linear-programming or one quadratic-programming problem are solved on-line at each sampling instant to yield the value of the control variable. In the latter the control law is shown to be piecewise affine in the state, and so the state space is partitioned into polyhedral cells so that at each sampling interval the cell to which the measured state belongs must be determined. Interpolation is performed between vertex control, and a user-chosen control law in its maximal admissible set surrounding the origin. Novel proofs of recursive feasibility and asymptotic stability of the vertex control law, and of the interpolating control law are given. Algorithms for implicit and explicit interpolating control are presented in such a way that the reader may easily realize them. Each chapter includes illustrative examples, and comparisons with model predictive control in which the disparity in computational complexity is shown to be particularly in favour of interpolating control for high-order systems, and systems with uncertainty. Furthermore, the performance of the two methods proves similar except in those cases when a solution cannot be found with model predictive control at all. The book concludes with two high dimensional examples and a benchmark robust model predictive control problem: the non-isothermal continuously-stirred-tank reactor. For academic control researchers and students or for control engineers interested in implementing constrained control systems Constrained Control of Uncertain, Time-Varying, Discrete-time Systems will provide an attractive low-complexity control alternative for cases in which model predictive control is currently attempted.  
650 0 _aEngineering.
650 0 _aSystems theory.
650 0 _aMathematical optimization.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319028262
830 0 _aLecture Notes in Control and Information Sciences,
_x0170-8643 ;
_v451
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-02827-9
912 _aZDB-2-ENG
999 _c18132
_d18132