A Kalman Filter for Sensorless Control of a Piezo Actuator for Camless
Internal Combustion Engines
Kemo Hodzic, Paolo Mercorelli and Nils Werner
Abstract— This paper deals with an actuator composed by
a piezo and a servo piston and a Kalman Filter structure for
camless engine motor applications. The considered system is
assumed to be linear. The electrical actuator is realized with a
piezostack which operates between 0 - 1000 V . The piezostack
is connected through an reduction ratio with the servo piston,
this link causes the mechanical movement of the servo piston.
This paper will show measured velocity and position of the
piston - shown by real simulation data- and simultaneously
the estimated data which were calculated and simulated with
MATLAB/Simulink, by the recursive estimation algorithm by
R. E. Kalman.
I. I NTRODUCTION AND MOTIVATION
Combustion engines are widely used since more over 100
years. Due to the finite nature of resources of fossile fuels the
now guided discussions for replacement solutions of these
energy sources and the development of radical alternatives
for vehicle propulsion systems are essential. However com-
bustion engines will determine the concepts of our mobility,
which are very similar to today’s engines. In the future thus
it is useful to deal with the internal combustion engines.[3]
The primary task of the valve train is to control the charge
exchange for the combustion process. This requires energy,
which is supplied by the crankshaft. An efficent valve train
can thus greatly improve the efficency of internal combustion
engine [4]. In the last five years, variable engine valve
control in camless systems has attracted a lot of attention
because of its ability to reduce pumping loses (work required
to draw air into the cylinder under part-load operation)
and to increase torque performance over wider rage than
conventional spark-ignition engines. Variable valve timing
also allows control of internal exhaust gas recirculation, thus
improving fuel economy and reducing NOx emissions. To
realize this variable valve timing this paper presents to use
the piezostack composed with the reduction ratio and servo
piston (Figure 3). With the development of the mathematical
structure of Kalman filter, an approach is developed that
makes it possible to estimate states of the linear system. The
basic model data for simulation from [7] are required for the
development for the Kalman filter in Camless Combustion
Engine. Figure 1 shows a three dimensional model of the
combustion engine from a motorcycle. It is designed with
Kemo Hodzic and Paolo Mercorelli are with the Leuphana University
of Lueneburg, Institute of Product and Process Innovation (PPI), Voll-
gershall 1, D-21339 Lueneburg, Germany. Tel.: +49-(0)4131-677-5571,
Fax: +49-(0)4131-677-5300. kemo.hodzic@stud.leuphana.de
mercorelli@uni.leuphana.de. Nils Werner is with the Fac-
ulty of Automotive Engineering, Ostfalia University of Applied Sciences,
Kleiststr. 14-16, D-38440 Wolfsburg, Germany. Tel. +49-(0)5361-831615
Fax. +49-(0)5361-831602. n.werner@ostfalia.de
four piezo actuators, each of them is able to control two
valves simultanously from the two cylinders. Presently the
measurement from position and velocity are realized with an
magneto resistiv sensor, see [9]. This paper will present an
approach which is able to predict the states of velocity and
position of the servo piston in Figure 3 so the control of
the valves will be more accurate. The Kalman filter (KF) is
an optimal estimator - ie infers paramters of interest from
indirect, inaccurate and uncertain observation. It is recursive
so that the new measurement can be processed as they arrive.
If all noise is Gaussian, the KF minimises the mean square
of the estimated parameters. In this case the filter is using
the data from the MATLAB/Simulink model (voltage V
z
and
position x
SP
) which will be explained in the second section.
Fig. 1. 3D model of the build in piezo piston, servo piston and valve in
a combustion engine
This paper is structured in the following way. Section
II describes the structure of the proposed system an gives
the general specifications to be satisfied and section III is
dedicated to Kalman filter. Section IV shows the simulation
data of the system. Finally simulation and conclusion close
the paper.
II. DESCRIPTION OF THE MATHEMATICAL MODEL AND
THE CONSIDERED MECHANICAL SYSTEM
To realize this variable valve timing this paper presents
the use the piezostack composed with the reduction ratio
and servo piston. (Figure 3). The piezo-stack (Figure 2) is
a multilayer ceramic capacitor whose dimensions change
during electrical charges. For driving purposes, the axial
strain is utilized. The mechanical forces (displacement, force)
978-1-4799-4749-2/14/$31.00 ©2014 IEEE
2014
International Symposium on Power Electronics,
Electrical Drives, Automation and Motion
1225