On the rational H∞ controller design for infinite dimensional plants

✍ Scribed by Onur Toker; Hitay Özbay

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 632 KB
• Volume: 6
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199606)6:5<383::aid-rnc221>3.0.co;2-8

✦ Synopsis

In this paper, the design of rational X" suboptimal controllers is studied for possibly unstable SISO infinite dimensional plants. In reference 1, it was shown that all X" controllers can be expressed in terms of (i) inner and outer parts of the plant, (ii) a finite dimensional spectral factor obtained from the weighting functions, and (iii) a rational function satisfying certain interpolation conditions. The problem of designing rational suboptimal controllers is investigated via studying the controller structure. An approximation procedure is derived to obtain a rational controller which has performance close to the optimum and has the same number of C, poles as the X" optimal controller has. Numerical examples are given to illustrate the approximation procedure for both the stable and unstable X m optimal controllers. The problem of finding a stable (i.e. strongly stabilizing) X" controller is also investigated here by studying the controller structure.