Authors:
Kristin Y. Pettersen,
Henk Nijmeijer,
Volume: 1, Page 2144 Paper number 1872
Abstract:
We consider the problem of stabilizing the position and orientation
of a ship to constant desired values, when the ship has only two independent
controls and also the ship is subject to an environmental force of
unknown magnitude. We propose a time-varying feedback control law and
a disturbance adaptation law, and show that this provides semi-global
practical asymptotic stability. The control and adaptation laws are
derived using a combined integrator backstepping and averaging approach.
Simulation results are presented.
Authors:
Aman Behal,
Darren M. Dawson,
Warren E. Dixon,
Yongchun Fang,
Volume: 1, Page 2150 Paper number 1128
Abstract:
In this paper, a continuous, time-varying tracking controller is designed
that globally exponentially forces the position/orientation tracking
error of an underactuated surface vessel to a neighborhood about zero
that can be made arbitrarily small (i.e., global uniformly ultimately
bounded). The result is facilitated by fusing a filtered tracking error
transformation with the design of a dynamic oscillator. We also illustrate
that the proposed tracking controller yields a GUUB result for the
regulation problem. In addition, an extension is provided that illustrates
that the proposed unified tracking/regulation controller can be applied
to a twin rotor helicopter model.
Authors:
Giovanni Indiveri,
Michele Aicardi,
Giuseppe Casalino,
Volume: 1, Page 2156 Paper number 1071
Abstract:
Robust global stabilization of an underactuated marine vehicle on a
linear course by smooth time-invariant feedback Robust global stabilization
of an underactuated marine vehicle on a linear course by smooth time-invariant
feedback The stabilization of an underactuated marine vehicle on a
linear course is considered. In spite of being controllable, standard
tools of nonlinear control as feedback linearization cannot be applied.
A smooth, time invariant, globally converging control solution is designed
on the basis of a simple and novel idea to derive motion control laws
for underactuated systems. Robustness with respect to model parameter
uncertainty and state measurement errors is discussed both analytically
and through simulations.
Authors:
Reza Olfati-Saber,
Volume: 1, Page 2162 Paper number 1098
Abstract:
In this paper, we introduce cascade normal forms for underactuated
mechanical systems that are convenient for control design. These normal
forms are partially linear which results from a well-known fact that
underactuated systems can be partially linearized using a change of
control (due to Spong 1996). The difficulty arises when the new control
appears both in the linear and nonlinear subsystems. We introduce a
method for decoupling these two subsystems by applying a change of
coordinates that transforms the dynamics of the system into a cascade
normal form with the property that control of the overall system reduces
to control of its nonlinear subsystem. Under a symmetry condition on
the inertia matrix of the system, this transformation can be obtained
explicitly from the Lagrangian. This eventually leads to classification
of underactuated systems. We provide several applications and two detailed
examples of complex underactuated systems, namely, the Acrobot and
the Rotating Pendulum.
Authors:
José Alfredo Rosas Flores,
Jaime Alvarez-Gallegos,
Rafael Castro Linares,
Volume: 1, Page 2168 Paper number 60
Abstract:
In this paper the problem of stabilization of a class of underactuated
systems by using backstepping is considered. To use the backstepping
technique a suitable change of coordinates is constructed. Using backstepping
a simple control law is proposed; this control law ensures the origin
to be asymptotically stable. The acrobot system is used to illustrate
the application of the results obtained.
Authors:
Anton S. Shiriaev,
Olga Kolesnichenko,
Volume: 1, Page 2174 Paper number 1932
Abstract:
The stabilization problem for a class of an underactuated Lagrangian
systems with respect to part of state variables is considered. It is
assumed that this part of the state variables is directly affected
by control. Moreover, on the rest of variables we impose additional
constraints, based on the form of the total energy of the system, which
should be valid after the transition time. Intuitively this can be
interpreted as a decoupling, by suggested control strategy, the state
variables into parts. To motivate this investigation, the problem of
swinging the Pendubot is considered.
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