By Hoai-Nam Nguyen
A complete improvement of interpolating regulate, this monograph demonstrates the diminished computational complexity of a ground-breaking strategy in comparison with the verified version predictive regulate. The textual content bargains with the rules challenge for linear, time-invariant, discrete-time doubtful dynamical platforms having polyhedral country and keep an eye on constraints, with and with out disturbances, and less than kingdom or output suggestions. For output suggestions a non-minimal state-space illustration is used with previous inputs and outputs as country variables.
Constrained keep an eye on of doubtful, Time-Varying, Discrete-time Systems info interpolating keep watch over in either its implicit and particular types. within the former at such a lot linear-programming or one quadratic-programming challenge are solved online at each one sampling speedy to yield the worth of the keep an eye on variable. within the latter the regulate legislation is proven to be piecewise affine within the nation, and so the nation house is partitioned into polyhedral cells in order that at every one sampling period the cellphone to which the measured country belongs has to be decided. Interpolation is played among vertex keep an eye on, and a user-chosen regulate legislations in its maximal admissible set surrounding the origin.
Novel proofs of recursive feasibility and asymptotic balance of the vertex regulate legislations, and of the interpolating keep watch over legislation are given. Algorithms for implicit and specific interpolating regulate are provided in the sort of means that the reader may well simply become aware of them. every one bankruptcy comprises illustrative examples, and comparisons with version predictive keep an eye on during which the disparity in computational complexity is proven to be rather in favour of interpolating regulate for high-order platforms, and structures with uncertainty. in addition, the functionality of the 2 tools proves related other than in these instances while an answer can't be chanced on with version predictive regulate in any respect. The booklet concludes with excessive dimensional examples and a benchmark strong version predictive regulate challenge: the non-isothermal continuously-stirred-tank reactor.
For educational regulate researchers and scholars or for regulate engineers attracted to imposing limited regulate systems restricted keep watch over of doubtful, Time-Varying, Discrete-time Systems will offer an enticing low-complexity keep watch over replacement for circumstances during which version predictive regulate is at present attempted.
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Constrained Control of Uncertain, Time-Varying, Discrete-Time Systems: An Interpolation-Based Approach (Lecture Notes in Control and Information Sciences) by Hoai-Nam Nguyen