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Optimal controller synthesis with D stability

✍ Scribed by N. Sivashankar; Isaac Kaminer; Pramod P. Khargonekar

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 552 KB
Volume: 30
Category: Article
ISSN: 0005-1098
DOI: 10.1016/0005-1098(94)90193-7

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider the problem of finding controllers which place the eigenvalues of the closed-loop system matrix in a prespecified circular region in the left-half plane and minimize an associated quadratic cost function. We give solutions to both state-feedback and outputfeedback synthesis problems.

1. Introduction

ONE OF THE important objectives in the design of feedback controllers is the placement of the closed-loop poles in a desired region. The pole assignment problem is a classical one and has received a great deal of attention in the control literature. The location of the poles determines the performance of the feedback system to a certain extent. In particular, the pole location is related to the transient response of the system. From an applications viewpoint, the exact placement of the poles is not as important as their placement in a given region. Some of the well studied pole placement regions include horizontal strips, vertical strips, circles and sectors [

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