Bases and dimension of interval vector space

State feedback control for stabilization of PMSM ‐based servo‐drive with parametric uncertainty using interval analysis

“…To generalize the above definition, 15,16,21 the m-dimensional interval column vectors a 1 I ,a 2 I , …, a n I are linearly independent if there exist only trivial solution…”

“…Computing of the gain interval matrix K c ∈ K c I from the reduced form of the ICCF (see Equations [19], [21], and [22]). Thus, we consider the following matrices…”

“…[17][18][19][20] Indeed, the uncertain dynamical system is modeled by using an interval system in state-space representation, which is described as a set of column interval vectors. 21 The developed approach is applied to a linearized model of PMSM servo-drive; for position control. The linear model is derived using vector control method 22 and by specifying new variables.…”