Maximal stability bounds of singularly perturbed systems

✍ Scribed by S.J. Chen; J.L. Lin

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 150 KB
• Volume: 336
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(99)00036-8

✦ Synopsis

The maximal stability bound H of a linear time-invariant singularly perturbed system is derived in an explicit and closed form, such that the stability of the systems is guaranteed for 0) ( H. Two new approaches including time-and frequency-domain methods are employed to solve this problem. The former leads to a generalized eigenvalue problem of a matrix pair. The latter is based on plotting the eigenvalue loci of a real rational function matrix derived by an LFT description system. The results obtained are coincident. Two illustrative examples are given to show the feasibility of the proposed techniques.