01653nas a2200169   4500008004100000245008500041210006900126260001300195300001200208520106100220653002101281653001301302100001501315700001801330700001501348856012001363       2002                        eng d00aConstruction of invariant and attractive sets for quantized-input linear systems0 aConstruction of invariant and attractive sets for quantizedinput  cDecember  a824-8293 a<p>In this paper, the problem of the stabilization of a discrete-time linear system subject to a fixed and uniformly quantized control set is considered. It is well known that, working with quantized inputs, the states of the system (except for a negligible set of initial conditions) cannot reach asymptotically the equilibrium point. Our aim is then to find an invariant and attractive neighborhood of the equilibrium and provide with a controller which steers the system into it. We construct a continuous and increasing family of invariant sets including one which is, in a specific sense, minimal. The invariance and attractivity properties of such sets are revised in the finite control set case: we propose a family of controllers taking on a finite number of values and ensuring the system convergence to the minimal invariant set. Some consequences of our technique are underlined with particular regard to the usage of Model Predictive Control tools. In the last section an example which shows the effectiveness of our results is presented.</p>
10aEmbedded Control10aRobotics1 aPicasso, B1 aGouaisbaut, F1 aBicchi, A.  uhttp://118699.obes.asia/publications/construction-invariant-and-attractive-sets-quantized-input-linear-systems.html