The 5
th
IEEE International Conference on E-Health and Bioengineering - EHB 2015
Grigore T. Popa University of Medicine and Pharmacy, Iaúi, Romania, November 19-21, 2015
978-1-4673-7545-0/15/$31.00 ©2015 IEEE
Human Pilot’s Dynamic Response Characteristics
Constantin Rotaru
1
, Simona Roateúi
2
, Raluca Ioana Edu
2
, Ionică Cîrciu
1
1: Dept. of Aviation, “Henri Coandă” Air Force Academy, Braúov, Romania,
e-mail: rotaru.constantin@afahc.ro
2: Dept. of Military Infomatics Systems and Mathematics, Military Technical Academy, Bucharest, Romania,
e-mail: sroatesi@yahoo.fr, e-mail: edu_ioana_raluca@yahoo.com
Abstract—The article is dedicated for identifying a
mathematical model which describes the ensemble “pilot-
aircraft” as an integrated system, being pointed out the pilot’s
particularities for aircraft command. In the paper are presented
two compensatory models, based on the aircraft dynamics.
Several approaches of the pilot models (transfer function gain,
lead and lag time constants) were considered to choose the
methodology that better predicts the airplane dynamic handling
quality requirements. Numerical investigations have been
performed using Maplesoft environment.
Keywords—human pilot model, Laplace transform, aircraft
systems.
I. INTRODUCTION
Human performance modeling provides a complementary
technique to develop systems and procedures that are tailored
to the pilot’s tasks, capabilities, limitations and also, offers a
powerful technique to examine human interactions across a
range of possible operating conditions. From an initial review
of past efforts in cognitive modeling, it was recognized that
no single modeling architecture or framework had the scope
to address the full range of interacting and competing factors
driving human actions in dynamic and complex
environments. Human performance models were developed
and applied to flight operations in order to predict errors and
evaluate the impact of new information technologies and new
procedures on flight crew performance. The usefulness of the
human performance modeling to the design and evaluation of
the aircraft technology is determined by the core capabilities
– visual attention allocation, workload, crew interactions,
procedures, situation awareness and error prediction [1]. The
modeling efforts revealed that human performance models,
even those cognitive architectures that have traditionally been
used in the context of psychological laboratory experiments,
can indeed be useful tools for complex, context dependent
domains such as aviation. Specifically, the tools can be used
to address the design and evaluations of aviation displays,
procedures and operations. These models can be used to
inform display design and the allocation of information so as
to optimize efficient scan patterns and increase the uptake of
relevant information in a timely manner. Although the
analysis and understanding of the airplane as an isolated unit
is important, for many flight situations it is the response of
the total system, made up of the human pilot and the aircraft,
that must be considered. Many tasks performed by the pilots
involve them in activities that resemble those of a servo
control system, so, the pilot can be modeled by a set of
constant coefficients linear differential equations [2]. Much of
research in the field of human pilot describing functions has
concentrated on the pilot’s performance in a single degree of
freedom compensatory tracking task with random system
inputs, where the pilot controls a single state variable through
the actuation of a single control. A compensatory display is
one in which the tracking error is presented, regardless of the
source of error.
II. PILOT MODEL
Due to the complex nature of the situation it is possible to
model the pilot in many ways and to measure the model by
employing a variety of techniques. One of the most successful
approaches to the measurement problem utilizes power
spectral density measurements of signal circulating in the
control loop. The human pilot could be replaced by a
mathematical model consisting of two parts (Fig. 1): the
linear describing function (written in Laplace transform
notation), () s Y , and the remnant, () t n . Since a linear model
is never able to describe the pilot completely, () s Y is
insufficient by itself, and it is necessary to include the
remnant () t n , which is the signal that must be added in order
to have all the time signals circulating in the system [3]. The
() s Y selected to describe the pilot in any particular task is
chosen so as to minimize that part of the input signal to the
aircraft which arises from () t n . Thus, the linear pilot model
that results is that which accounts for as much pilot input to
the aircraft as possible, and a measure of its adequacy is the
fraction of the pilot input to the aircraft accounted for by
() s Y .
() t o
() t n
Pilot model
() s Y
Aircraft
model
() t m
() t i () t e
Fig. 1. Linear model of the pilot-aircraft system.