Authors:
Katrina Lau,
Richard H. Middleton,
Volume: 1, Page 3598 Paper number 9805
Abstract:
It has been known for some time that there are limits to the achievable
performance in a linear time invariant feedback control system. Some
of these limitations, however, may be ameliorated by the use of nonlinear
and/or time varying feedback. Recently, there has been some interest
in the use of switching control to improve the control performance
for linear integrating plants with bounded input disturbances. In this
paper we study asymptotic and BIBS stability properties of a class
of switching feedback systems, and also examine one form of optimal
control for such systems.
Authors:
Thomas Moor,
Jörg Raisch,
Volume: 1, Page 3604 Paper number 1793
Abstract:
Switched flow systems exhibit a continuous state evolving w.r.t. continuous
time. However, a purely discrete interface to the environment is provided,
acting on input events by switching between a finite number of flows
and generating output events whenever the continuous state crosses
certain boundaries. Here, a practically important task is the synthesis
of a supervisory controller enforcing a specification in terms of input
and output events to be met. A well known approach is so called approximation
based synthesis, where the switched flow system is approximately realized
by a finite automaton. In the situation of multiple switched flow systems
the question arises first, how to approximate the individual systems,
and second, how to compose the approximations in order to finally apply
a synthesis scheme. It turns out that retaining clock time on the approximation
level leads to a suitable overall procedure.
Authors:
Zhengguo Li,
Wenxiang Xie,
Changyun Wen,
Cheng Chai Soh,
Volume: 1, Page 3610 Paper number 1061
Abstract:
Switched nonlinear systems (SNS) are control systems that involve both
continuous and discrete dynamics. The design of switched nonlinear
systems is mainly composed of two parts. One is to design a smooth
controller for each continuous subsystem such that each subsystem satisfies
certain given requirements, the other is to define a switching law
for the continuous controllers such that the overall switched nonlinear
system achieves some given specifications. The continuous controllers,
together with the corresponding switching law, form a switched controller.
In this paper, we consider the problem of globally exponential stabilization
of switched nonlinear systems with arbitrary and infinite number of
"switchings". We handle both the case where the switchings of the system
coincide exactly with the switchings of the controllers and the case
where the switchings of the system do not coincide exactly with the
switchings of controllers. An SNS in the first case and in the second
case is called a synchronous SNS and an asynchronous SNS, respectively.
Methods are presented to design switched controllers in both cases.
Some sufficient conditions are derived to globally exponentially stabilize
the system in both cases. However, emphasis is placed on the second
case.
Authors:
Kathryn L. Flores,
Viswanath Ramakrishna,
Volume: 1, Page 3616 Paper number 1522
Abstract:
We illustrate two techniques for specifying piecewise constant controls
for a switched electrical network used in converting power in a dc-dc
converter. Both procedures make use of decompositions of SU(2) to
obtain controls that satisfy pulse area constraints. One of the methods
depends intrinsically on the network and we show that ideal controls
can be obtained with this technique. The other approach is general,
but requires more computational effort. The systems being studied are
single input systems with drift. In this paper no approximations or
other artifices are used to remove the drift. Instead, the drift is
important in the determination of the controls. Piecewise constant
controls, such as the ones obtained in this work, are closer to physical
reality than other types of controls. We also show how to obtain controls
with values of either 0 or 1 which represent the position of the switch.
Authors:
João P. Hespanha,
Daniel Liberzon,
A. Stephen Morse,
Volume: 1, Page 3622 Paper number 1809
Abstract:
In this paper we analyze the Scale-Independent Hysteresis Switching
Logic introduced in recent work. We show that, under suitable "open-loop"
assumptions, one can establish an upper bound on the number of switchings
produced by the logic on any given interval. This bound comes as a
function of the variation of the inputs to the logic on that interval.
In this paper it is also shown that, in a supervisory control context,
this leads to switching that is slow-on-the-average, allowing us to
study the stability of hysteresis-based adaptive control systems in
the presence of measurement noise.
Authors:
Wenxiang Xie,
Changyun Wen,
Zhengguo Li,
Volume: 1, Page 3628 Paper number 1049
Abstract:
This paper considers the integral-input-to-state stabilization of a
class of switched nonlinear systems, which consist of integral-input-to-state
stable (IISS) subsystems and subsystems whose continuous states may
eventually be unbounded even if integrals of the corresponding inputs
are small. In general, a switched controller has two parts: local controllers
for subsystems and their switching law. Here, a cycle analysis method
is used to derive a switched controller for the integral-input-to-state
stabilization of the considered system. The results obtained here extend
our previous work in that all subsystems are not required to be IISS.
Authors:
Guangyan Xu,
Danwei Wang,
Keliang Zhou,
Volume: 1, Page 3634 Paper number 1383
Abstract:
In this paper, the two-input extended chained form is investigated.
A switching control law is developed and ultimate exponential stabilization
is achieved.
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