Stability and Time Delay Tolerance Analysis Approach for Networked Control Systems

Table 1

The MADB (seconds) using the proposed method with 1st, 2nd, and 3rd order finite difference approximation for the delay term, the LMI method, the fourth-order Pade approximation method, and the simulation based method.

	The finite difference method			The LMI	Pade approximation	Simulation based
	1st order	2nd order	3rd order
1	0.8695	0.8427	1.1321	0.8696	1.1672	1.180
2	0.1000	0.0995	0.1421	0.1000	0.1475	0.149
3	0.0100	0.0099	0.0149	0.0100	0.0156	0.0157
4	0.1428	0.1385	0.1808	0.1429	0.1855	0.1860
5	0.8217	0.8489	0.9085	0.8217	0.9091	0.9140
6	0.5000	0.4816	0.6303	0.5000	0.6474	0.6510
7	0.9940	0.9940	0.9960	0.9940	0.9960	0.9970
8	0.0856	0.0854	0.1192	0.0856	0.1230	0.1230
9	0.0906	0.0919	0.1251	0.0909	0.1284	0.1285
10	0.0416	0.0400	0.0496	0.0416	0.0505	0.0505