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 For output suggestions a non-minimal state-space illustration is used with outdated inputs and outputs as kingdom variables.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