Frequency Weighted Model Order Reduction Technique and Error Bounds for Discrete Time Systems

Table 1

Frequency weighted errors and error bounds comparison for reduced order models.

Weighting	Order	Enns technique [25]	Campbell et al.’s technique [37]		Varga and Anderson’s technique [38]		Proposed technique
			Error	Error bound	Error	Error bound	Error	Error bound
Two sided	1	21.1254	20.5953	1634.2	21.6491	725.7718	15.6065	2549.0
	2	31.9647	32.8319	978.34	32.8863	433.8123	18.4571	1623.9
	3	35.0441	32.3860	590.48	33.9063	255.7017	26.1274	998.92
	4	28.7611	31.4710	236.41	30.4331	102.7518	30.7929	427.13
	5	12.7538	29.5760	117.81	12.7660	50.4647	25.6547	203.36
Input	1	7.0257	7.1275	145.811	7.2356	92.6748	7.0140	242.5983
	2	10.4643	10.7354	87.9789	10.7694	55.8603	10.6714	149.7017
	3	11.2055	10.3852	53.0816	10.8477	32.9346	9.9857	90.8656
	4	8.9654	10.0342	21.8067	9.6079	13.5877	8.4277	41.1182
	5	2.4435	3.1720	10.4718	2.8446	6.3761	3.2061	16.5445