𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the mixed sensitivity H∞ control problem with poles on the imaginary axis

✍ Scribed by R.D. Qi; T. Tsuji

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
521 KB
Volume
333
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents a simple methodology for building the generalized plant for the mixed sensitivity H, controlproblem, where the control object and the weighting functions for the sensitivity function may have poles on the imaginary axis. Our methodology shows that the ordinary assumptions made in the standard H, design are briefly satisfied in spite of the existence of poles on the imaginary axis, and the stabilizability and the detectability of (A, B2, C,) are determined by the characteristic of the control object. So this methodology makes it possible to use the standard method to solve the H, design problem for an oscillatory system or a servo system. An example is given to illustrate the results.

📜 SIMILAR VOLUMES

Complete solution of the 4-block H∞ cont
Complete solution of the 4-block H∞ control problem with infinite and finite jω-axis zeros
✍ Xin Xin; Brian D. O. Anderson; Tsutomu Mita 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 1 views

This paper discusses the 4-block H control problem with in"nite and "nite j -axis invariant zeros in the state-space realizations of the transfer functions from the control input to the controlled output and from the disturbance input to the measurement output, where these realizations are induced f

On the optimal linear regulator problem
On the optimal linear regulator problem with control energy constraint
✍ F.T. Man 📂 Article 📅 1969 🏛 Elsevier Science 🌐 English ⚖ 213 KB

Correspondence Items On the Optimal Linear Regulator Problem with Control Energy Constraint\* Sur le probl~me du r6gulateur optimal lin6aire avec une contrainte de l'6nergie de commande Uber das optimale lineare Regelungsproblem mit Hilfsenergiebeschr/inkung O npo6.rieMe orrri,iMaJibHoro Jiiai-ie~I-

On the trace problem for Lizorkin–Triebe
On the trace problem for Lizorkin–Triebel spaces with mixed norms
✍ Jon Johnsen; Winfried Sickel 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 360 KB

## Abstract The subject is traces of Sobolev spaces with mixed Lebesgue norms on Euclidean space. Specifically, restrictions to the hyperplanes given by __x__~1~ = 0 and __x~n~__ = 0 are applied to functions belonging to quasi‐homogeneous, mixed norm Lizorkin–Triebel spaces ; Sobolev spaces are obt