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# Zhu, Ming

Preferred name

Zhu, Ming

Official Name

Zhu, Ming

## Research Output

Now showing 1 - 3 of 3

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Publication

#### Travelling waves in boundary-controlled, non-uniform, cascaded lumped systems

2012-05, O'Connor, William, Zhu, Ming

A companion paper considers travelling and standing waves in cascaded, lumped,
mass-spring systems, controlled by two boundary actuators, one at each end,
when the system is uniform. It first proposes definitions of waves in finite
lumped systems. It then shows how to control the actuators to establish desired
waves from rest, and to maintain them despite disturbances. The present paper
extends this work to the more general, non-uniform case, when mass and spring
values can be arbitrary. A special Â¿bi-uniformÂ¿ case is first studied,
consisting of two different uniform cascaded systems in series, with an obvious,
uncontrolled, impedance mismatch where they meet. The paper shows how boundary
actuator control systems can be designed to establish, and robustly maintain,
apparently pure travelling waves of constant amplitude in either the first or
the second uniform section, in each case with an appropriate, partial, standing
wave pattern in the other section. Then a more general non-uniform case is
studied. A definition of a Â¿pure travelling waveÂ¿ in non-uniform systems is
proposed. Curiously, it does not imply constant amplitude motion. It does
however yield maximum power transfer between boundary actuators. The definition,
and its implementation in a control system, involves extending the notions of
Â¿pureÂ¿ travelling waves, of standing waves, and of input and output impedances
of sources and loads, when applied to non-uniform lumped systems. Practical,
robust control strategies are presented for all cases.

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Publication

#### Boundary-controlled travelling and standing waves in cascaded lumped systems

2012-08, O'Connor, William, Zhu, Ming

This paper describes how pure
travelling waves in cascaded, lumped, uniform, mass-spring systems can be
defined, established, and maintained, by controlling two boundary actuators,
one at each end. In most cases the control system for each actuator requires
identifying and measuring notional component waves, propagating in opposite
directions, through the actuator-system interfaces. These measured component
waves are then used to form the control inputs to the actuators. The paper also
shows how the boundaries can be actively controlled to establish and maintain
standing waves of arbitrary standing wave ratio, including those corresponding
to classical modes of vibration with textbook boundary conditions. The proposed
control systems are also robust to system disturbances: they react quickly to
overcome external transient disturbances to re-establish the desired steady
motion.

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Publication

#### Travelling waves in boundary-controlled, non-uniform, cascaded lumped systems

2013-08, O'Connor, William, Zhu, Ming

A companion paper in
this conference considers travelling and standing waves in cascaded, lumped,
mass-spring systems, controlled by two boundary actuators, one at each end,
when the system is uniform. It first proposes definitions of waves in finite
lumped systems. It then shows how to control the actuators to establish desired
waves from rest, and maintain them despite disturbances. The present paper
extends this work to the more general, non-uniform case, when mass and spring
values are arbitrary. A special "bi-uniform" case is first studied, consisting
of two different uniform cascaded systems in series, with an obvious,
uncontrolled, impedance mismatch where they meet. The paper shows how boundary
actuator control systems can be designed to establish, and robustly maintain,
apparently pure travelling waves of constant amplitude in either the first or
the second uniform section, in each case with an appropriate standing wave
pattern in the other section. Then a more general non-uniform case is studied.
A definition of a "pure travelling wave" in non-uniform systems is proposed.
Curiously, it does not imply constant amplitude motion. It does however yield
maximum power transfer between boundary actuators. The definition, and its
implementation in a control system, involves extending the notions of "pure"
travelling waves, standing waves, and input and output impedances of sources
and loads, when applied to non-uniform lumped systems. Practical, robust
control strategies are presented for all cases.