Bumpless Transfer, Antiwindup and Saturation

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Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

Anti-Windup Synthesis For Guaranteed (cal) L_2 Performance

Authors:

Stuart Crawshaw, Glenn Vinnicombe,

Volume: 1, Page 1063 Paper number 9907

Abstract:

We consider the problem of anti-windup compensation based on coprime factorizations, for asymptotically stable plants with an input saturation nonlinearity. Firstly, we state a stability criterion for the nonlinear system which guarantees finite-gain L2 stability. Then we propose an H-infinity-based synthesis method which is guaranteed a priori to stabilize the system with a guaranteed level of L2 performance.

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An Application of Coprime Factor Based Anti-Windup and Bumpless Transfer Control to the Spark Ignition Engine Idle Speed Control Problem

Authors:

Richard G. Ford, Keith Glover,

Volume: 1, Page 1069 Paper number 1652

Abstract:

This paper presents an application of the coprime factor based anti-windup technique of Miyamato and Vinnicombe [MV96]. The application is an automotive engine idle speed control problem using a novel framework which inverts most of the system nonlinearities. A discussion of the design procedure is given, and extensions to the technique are developed to enable implementation. The final controller is implemented in the Matlab/dSPACE rapid prototyping suite and is used to control a 1.8l spark ignition engine. Results for both anti windup and bumpless transfer situations are presented and discussed.

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Maximum Output Amplitude Of Linear Systems For Certain Input Constraints

Authors:

Wolfgang Reinelt,

Volume: 1, Page 1075 Paper number 1217

Abstract:

We determine the maximum output amplitude of a system, when the input is bounded by certain constraints. In particular, amplitude and rate of change (i.e. the first derivative) have to be bounded. We show properties of the worst case input and present an algorithm that allows construction of this input and calculates the maximum amplitude of the output. The solution of this problem is a necessary and important step within a couple of recently developed controller-design procedures, dealing with plants with hard-bounded inputs. Nevertheless, it is interesting as a system theoretic task itself and therefore stated separately.

CD001217.PDF (From Author)

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The Application of Monotone Stability to Certain Saturated Feedback Interconnections

Authors:

Matthew C. Turner, Ian Postlethwaite,

Volume: 1, Page 1081 Paper number 1627

Abstract:

Due to the conservatism of the conventional, or affine, Small Gain Theorem, in some situations its use may not give an accurate indication of the true performance achievable in a given system. This is especially true of certain feedback loops with saturation elements present. Here, the recently derived monotone Small Gain Theorem is discussed with respect to these types of system, and it is shown how certain constructions of feedback will guarantee global stability of the interconnection. This result is then applied to two instances where this type of configuration naturally occurs: anti-windup compensation and systems with ``soft'' output constraints.

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Stability Of Cones Of Polynomials: An Application To The Design Of High-Gain Controllers For Saturated Systems

Authors:

Baltazar Aguirre, Carlos Ibarra, Rodolfo Suárez,

Volume: 1, Page 1087 Paper number 1722

Abstract:

In [Hinrichsen, D. and Kharitonov, V. L., 1995], a necessary and sufficient conditions for a convex conic set of polynomials to be Hurwitz was given. However, that result is not simple to apply. In this paper, an easy-to-check sufficient condition is introduced. The obtained condition is a matrix inequality which is a simple algebraic test for the stability of rays of polynomials. As an application, for stable open-loop systems, a cone of gains c such that the function u=-kc^Tx is a stabilizing control feedback for all k>0, is shown to exist. Moreover, for the same cone of gains, it was established that there do not exist any first harmonic periodic orbits despite saturation.

CD001722.PDF (From Author)

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Optimal Transfer Schemes For Switching Controllers

Authors:

Jonathan Paxman, Glenn Vinnicombe,

Volume: 1, Page 1093 Paper number 1909

Abstract:

In this paper, we develop two general schemes for reducing the performance degradation caused by a signal substitution at the plant input. Such substitutions arise in modern control systems where we may transfer from manual to automatic, or between alternative controllers as operating points or performance criteria change. The problem reduces to the selection of the initial controller state for the controller which is to be switched in. The first scheme selects a controller state consistent with (hypothetical) signals at the plant input and output which are close (in the sense of a weighted 2-norm) to observed signals. The second scheme (for regulator and step reference problems) minimises directly the weighted plant input and output after the switch with respect to the controller initial state. We consider these schemes in the context of the regulator problem, and the reference tracking problem.

CD001909.PDF (From Author)

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