In this paper a numerical solution is obtained to the problem of minimizing an H -type cost subject to an H -norm constraint. The method employed is based on the convex alternating projection algorithm and generalizes a recent technique to the multivariable case. The solution is derived in terms of
Stable ℋ2-optimal controller synthesis
✍ Scribed by Joseph R. Corrado; R. Scott Erwin; Dennis S. Bernstein; Wassim M. Haddad
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 222 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0143-2087
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✦ Synopsis
This paper considers "xed-structure stable H -optimal controller synthesis using a multiobjective optimization technique which provides a trade-o! between closed-loop performance and the degree of controller stability. The problem is presented in a decentralized static output feedback framework developed for "xed-structure dynamic controller synthesis. A quasi-Newton/continuation algorithm is used to compute solutions to the necessary conditions. To demonstrate the approach, two numerical examples are considered. The "rst example is a second-order spring}mass}damper system and the second example is a fourthorder two-mass system, both of which are considered in the stable stabilization literature. The results are then compared with other methods of stable compensator synthesis.
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