Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems

Table 1

The complexity analysis of the compared algorithms.

Different algorithms	Main optimization problem	Refreshment of estimation error set and/or determination of feasibility problem
Algorithm  1 in [16]	,	Each iteration of () in [16]: , ; () in [16] is infeasible: ,
Algorithm  1 in [19]	For polyhedral set: , ; for ellipsoidal set: ,	Quickhull Algorithm: , ; , ; outer approximation of ellipsoidal sets: ,
Algorithm 8	,	Quickhull Algorithm: , ; , ; problem (35): ,

Note: ; ; is the number of vertices related to the outer approximation of by V-presentation; is the maximal number of vertices related to the estimation error set (or true state) in the main optimization problem; is the maximal order of zonotopes related to the estimation error set (or true state) in the main optimization problem.