Interval analysis for guaranteed non-linear parameter and state estimation

Figures & data

Figure 1. Bounded-error parameter estimation: (a) solution set ℙ; (b) when outliers are present, ℙ may be empty; (c) new solution set robust to one outlier

Table 1. Data measured on the system of Section 4.1

t (s)	0	1	2	3	4	5
y (t)	3.01	1.56	0.93	0.65	0.49	0.39

Figure 2. Projections on the (p ₁, p ₂) and (p ₃, p ₄) planes of an outer approximation of the solution set for the parameter estimation problem (no outlier)

Figure 3. Projections on the (p ₁, p ₂) and (p ₃, p ₄) planes of an outer approximation of the solution set for the robust parameter estimation problem (one outlier)