Authors:
Takaaki Iwata,
Masaki Yamakita,
Katsuhisa Furuta,
Volume: 1, Page 5131 Paper number 1562
Abstract:
In this paper, a regulation problem for systems whose control input
signal is restricted to On/Off pulses with large sampling periods is
considered. A control law is designed for a class of single input systems
will full state information and does not require the system to be stable.
First, a sliding sector for discrete-time system is defined based on
a norm of the system state where the norm decreases inside the sliding
sector. Then the PWM-type discrete-time VSS control law is designed
to move the system state from the outside to the inside of the sliding
sector. Simulation shows the effectiveness of the proposed controller.
Authors:
Mikael Johansson,
Volume: 1, Page 5137 Paper number 1746
Abstract:
This paper presents an approach to state initialization of heterogeneous
mode-switching controllers. It is shown how the controller initialization
that achieves the minimal settling time for the closed-loop system
can be computed via convex optimization. Algorithms are given that
minimize the worst-case settling time for all initial values in a polytope
or an ellipsoid. The approach can also account for state and control
constraints. Special attention is given to systems with bias disturbance
and it is shown how the worst-case settling time can be minimized also
when the exact value of the bias is not known. Finally, we show how
the settling times can be improved further by adding an impulsive control
at the switching instant. The impulsive control can be optimized jointly
with the initial value compensator to achieve a minimal settling time.
Authors:
Wen-Jun Cao,
Jian-Xin Xu,
Volume: 1, Page 5143 Paper number 1410
Abstract:
To suppress the resonance modes of flexible manipulator and to expedite
the convergence, a hybrid sliding mode consisting of Frequency Shaped
Optimal Sliding Mode (FSOSM) and Terminal Sliding Mode (TSM) is proposed
and applied to two-link flexible manipulator, which is an extension
of our previous work [1]. An Adaptive Variable Structure Control (AVSC)
is designed to estimate the upper bounds on the norm of uncertainties.
The adaptation law generates a relatively small gain in the initial
stage to reduce the impact to the system and a higher gain at the equilibrium
to lower steady state error. Dead zone scheme is introduced to further
improve system robustness. Attractiveness of the dead zone for the
proposed AVSC is proven. Simulation results demonstrate the effectiveness
of the proposed method.
Authors:
João Borges de Sousa,
Fernando Lobo Pereira,
Volume: 1, Page 5149 Paper number 9158
Abstract:
In this paper we discuss a two-person zero-sum differential game of
finite horizon with graph-constrained control strategies. We prove
the existence of value and state optimality conditions in terms of
value functions that solve a coupled system of quasi-variational inequalities.
Authors:
William Pasillas-Lépine,
Witold Respondek,
Volume: 1, Page 5151 Paper number 2124
Abstract:
We give necessary and sufficient geometric conditions for a nonlinear
control system to be feedback equivalent to a canonical contact system
for curves. We study the geometry of that class of systems, in particular,
the existence of involutive subdistributions of corank one. We also
distinguish regular points, at which the system is equivalent to the
canonical contact system, and singular points. We show how the geometry
of the studied class of systems is reflected by their flatness.
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