Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems
Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-07-12

Total Pages: 34

ISBN-13: 9781722771010

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The results are presented of application of the methodology of Singular Perturbations and Time Scales (SPATS) to the control of digital flight systems. A block diagonalization method is described to decouple a full order, two time (slow and fast) scale, discrete control system into reduced order slow and fast subsystems. Basic properties and numerical aspects of the method are discussed. A composite, closed-loop, suboptimal control system is constructed as the sum of the slow and fast optimal feedback controls. The application of this technique to an aircraft model shows close agreement between the exact solutions and the decoupled (or composite) solutions. The main advantage of the method is the considerable reduction in the overall computational requirements for the evaluation of optimal guidance and control laws. The significance of the results is that it can be used for real time, onboard simulation. A brief survey is also presented of digital flight systems. Naidu, Desineni S. and Price, Douglas B. Langley Research Center RTOP 506-46-21-01...

Singular Perturbation Methods in Control
Singular Perturbation Methods in Control

Author: Petar V. Kokotović

Publisher:

Published: 1986

Total Pages: 371

ISBN-13: 9780124176355

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In this book, control theory merges with singular perturbation techniques to form the first comprehensive two-time-scale methodology for the modeling, analysis and design of control systems. Its goal is to simplify the software and hardware implementation of control algorithms, while improving their robustness properties. The text is intended for control engineers and graduate students who seek an introduction to singular perturbation methods in control. A feature of the book is the illustration of two-time-scale analysis and design procedures by way of case studies drawn from flight control, power systems and adaptive control.

Singular Perturbation Methodology in Control Systems
Singular Perturbation Methodology in Control Systems

Author: Desineni S. Naidu

Publisher: IET

Published: 1988

Total Pages: 314

ISBN-13: 9780863411076

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This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).

Digital Flight Control System Design Using Singular Perturbation Methods
Digital Flight Control System Design Using Singular Perturbation Methods

Author: Joseph S. Smyth

Publisher:

Published: 1981

Total Pages: 224

ISBN-13:

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In this report a single longitudinal tracker is developed for the aircraft for three different flight conditions. The method used is the singular perturbation method applied to fast-sampling, output-feedback digital control. Each flight condition has three command modes: positive pitch pointing, vertical translation and straight climb. A sensitivity study is performed to validate the design and illustrate design parameter influences on system response. A computer-aided-design program, MULTI, is developed to assist in the iterative design process. The program is fully interactive, user-oriented, and provides error protection. The program allows complete design and simulation of three types of control law designs: known-regular plants, known irregular plants, and unknown plants. The report contains a brief but complete summary of each of these control law design methods. A user's manual and a programmer's manual are provided for further development of the program. (Author).