A convex optimization approach to synthesizing low order l1 hp controllers for autopilot pitch aircraft

Dissertant

Abu Hwyj, Niazy M.

Thesis advisor

al-Aydi, Hatim Ali

University

Islamic University

Faculty

Faculty of Engineering

Department

Electrical Engineering Department

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2009

English Abstract

During the last decade, a large research effort has been devoted to the problem of designing robust controllers capable of guaranteeing stability in the face of plant uncertainty.

In spite of large research efforts, this problem is not completely resolved.

Alternatively, mixed objective control problems have attracted much attention lately since they allow for directly capturing different performance specifications without resorting to approximations or the use of weighting functions; thus, eliminating the need for trial and error type iterations.

Of course, it is not always possible to capture all the desired performance specifications in a single norm constraint, and so a number of researchers have considered mixed norm minimization problems, including H2 / H∞ , 1 l / H∞ , 1 2 l / H and 2 1 H / l .

This thesis, considers the problem of minimizing the 1 l norm of a certain closed-loop transfer function, while maintaining the 2 H norm (mixed 1 2 l / H ), or the H∞ norm (mixed 1 l / H∞ ), of a different transfer function below a pre-specified level for an autopilot pitch aircraft.

The main results of this thesis show that a two-stage process can synthesize suboptimal controllers, involving a convex optimization problem, which optimizes the 1 l norm, internal characteristic of controller and H∞ or 2 H optimization that optimize the external characteristic of the system.

Furthermore, this approach also provides a CVX-based parameterization of all suboptimal output feedback controllers, including reduced order, for mixed 1 l / H∞ and 1 2 l / H problems.

The developed approach is tested by designing a control with multi-objective autopilot controlling the pitch of an aircraft.

Main Subjects

Electronic engineering

Topics

• Control theory
• Self
• Adaptive control systems

No. of Pages

86

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-301325