By Tamer Basar, Pierre Bernhard
One of many significant focused actions of the prior decade up to the mark conception has been the improvement of the so-called "H-infinity-optimal keep an eye on theory", which addresses the difficulty of worst-case controller layout for linear crops topic to unknown disturbances and plant uncertainties. one of the diverse time-domain techniques to this classification of worst-case layout difficulties, the one who makes use of the framework of dynamic, differential online game concept sticks out to be the main average. this can be so as the unique H-infinity keep watch over challenge (in its similar time-domain formula) is in truth a minimax optimization challenge, and consequently a zero-sum video game, the place the controller might be seen because the minimizing participant and disturbance because the maximizing participant. utilizing this framework, the authors found in this ebook a whole idea that encompasses continuous-time in addition to discrete-time platforms, finite in addition to countless horizons, and a number of other various size schemes, together with closed loop excellent country, behind schedule excellent nation, samples nation, closed-loop imperfect kingdom, not on time imperfect nation and sampled imperfect nation details styles. additionally they speak about extensions of the linear thought to nonlinear platforms, and derivation of the reduce dimensional controller for structures with on a regular basis and singularly perturbed dynamics. this is often the second one variation of a 1991 ebook with an identical identify, which, in addition to that includes a extra streamlined presentation of the implications integrated within the first version, and at areas less than extra sophisticated stipulations, additionally includes significant new fabric, reflecting new advancements within the box considering 1991. between those are the nonlinear conception; connections among H-infinity-optimal keep an eye on and threat delicate stochastic regulate difficulties; H-infinity filtering for linear and nonlinear structures; and robustness concerns within the presence of normal and singular perturbations. additionally incorporated are a slightly targeted description of the connection among frequency-and time-domain techniques to strong controller layout, and a whole set of effects at the life of worth and characterization of optimum regulations in finite- and infinite-horizon LQ differential video games. The authors think that the idea is now at a level the place it may well simply be integrated right into a second-level graduate path in a regulate curriculum, that will stick to a easy path in linear keep an eye on thought masking LQ and LQG designs. The framework followed during this ebook makes such an formidable plan attainable. For the main half, the single prerequisite for the ebook is a easy wisdom of linear keep an eye on conception. No historical past in differential video games, or online game conception ordinarily, is needed, because the considered necessary options and effects were constructed within the publication on the acceptable point. The booklet is written in this type of manner that makes it attainable to keep on with the speculation for the continual- and discrete-time structures independently (and additionally in parallel).