Authors:
Tryphon T. Georgiou,
Malcolm C. Smith,
Volume: 1, Page 246 Paper number 1523
Abstract:
For a relaxation oscillator which consists of a relay-hysteresis in
feedback with negative integral action we prove that the oscillatory
behaviour is robust to perturbations in the dynamical component of
the feedback loop which are sufficiently small in a gap sense.
Authors:
Qian Chen,
C.V. Hollot,
Yossi Chait,
Volume: 1, Page 251 Paper number 1757
Abstract:
Bode's gain-phase relationship places a hard limitation on performance
tradeoffs in linear, time-invariant feedback control systems. It has
long been suggested that reset control has the potential to improve
this situation. Recent experimental studies support this claim. This
paper focuses on the analysis of such reset control systems which has
been missing in this past work. Specifically, we give results on bounded-input
bounded-output stability, asymptotic stability and steady-state performance.
These results are applied to an experimental demonstration of reset
control of a flexible mechanism.
Authors:
Giorgio Bartolini,
Alessandro Pisano,
Elio Usai,
Volume: 1, Page 257 Paper number 1860
Abstract:
The problem of the global stabilization of a class of nonlinear uncertain
plants is considered in this paper. The analysis includes the uncertain
actuator dynamics, and the global convergence of the system state to
zero is ensured by a second order sliding mode control technique. The
proposed approach is chattering-free, and it also reduces the peaking
of the state that is typically shown during the transient phase by
variable structure systems and other robust control schemes. Simulation
examples highlight the good features of the proposed control law.
Authors:
Peter M. Dower,
Volume: 1, Page 263 Paper number 1794
Abstract:
In this paper, a generalization of the L2-gain inequality utilizing
"point to set" distances is applied to cope with systems with persistent
excitation. This generalization is compared with notions of power gain
introduced previously by the author. In particular it is found that
the gain inequality associated with "point to set" distances freely
admits a definition of available storage and allows the standard Hamilton-Jacobi-Bellman
PDE to be generalized in a simple way. Issues concerning stability
are also addressed. The nature of the generalized L2-gain inequality
admits a simple understanding of stability, which is an improvement
over the power gain generalization. However, casting optimal control
problems is less satisfying in that it is more difficult to minimize
the power generated by the system.
Authors:
Dong-Eui Chang,
Jerrold E. Marsden,
Volume: 1, Page 269 Paper number 1695
Abstract:
In this paper we extend the previous work on the asymptotic stabilization
of pure Euler-Poincare mechanical systems using controlled Lagrangians
to the study of asymptotic stabilization of Euler-Poincare mechanical
systems such as the heavy top.
Authors:
Björn Birnir,
Höskuldur Hauksson,
Volume: 1, Page 274 Paper number 1
Abstract:
The notions of basic controllability and basic control are defined
using dynamical systems theory of partial differential equations. A
quadratic optimal control of the linearized viscous Moore-Greitzer
equation is presented and it is confirmed that stall is uncontrollable
in this model. A basic control is constructed for the nonlinear viscous
Moore-Greitzer equation which can control both surge and stall. Numerical
simulations of the basic control are presented.
Authors:
Yun-Chung Chu,
Volume: 1, Page 280 Paper number 1242
Abstract:
The class of nonlinear systems described by a discrete-time state-equation
containing a repeated scalar nonlinearity is considered. The paper
sharpens several previous results on the performance synthesis and
model reduction for such systems. Extensions to the case that the nonlinearity
is not an odd function are also discussed.
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