Switched Systems

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Author Index
A B C D E F G H I
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On the Use of Switching Control for Systems with Bounded Disturbances

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.

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Approximation Of Multiple Switched Flow Systems For The Purpose Of Control Synthesis

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.

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Globally Exponential Stabilization of Switched Nonlinear Systems with Arbitrary Switchings

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.

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Quantum Control Techniques for Switched Electrical Networks

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.

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Bounds on the Number of Switchings with Scale-Independent Hysteresis: Applications to Supervisory Control

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.

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Controller Design for the Integral-Input-to-State Stabilization of Switched Nonlinear Systems: a Cycle Analysis Method

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.

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A Switching Control Law for Extended Chained Forms

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.

CD001383.PDF (From Author)

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