Anti-windup synthesis for guaranteed ℒ/sub 2/ performance

Crawshaw, S.; Vinnicombe, G.

doi:10.1109/cdc.2000.911992

Cited by 18 publications

(7 citation statements)

References 7 publications

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“…Other work related to these results, and to this paper, can be found in Crawshaw & Vinnicombe (2000) and Kapoor et al (1998), both of which take the return to linear behaviour as a central objective. The work of Crawshaw & Vinnicombe (2000) builds on the work of Miyamoto & Vinnicombe (1996) but uses a novel looptransformation to convert a small gain condition into, effectively, the less conservative Circle Criterion.…”

Section: Introductionmentioning

confidence: 88%

A new perspective on static and low order anti-windup synthesis

Turner

Postlethwaite

2004

International Journal of Control

157

139

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By viewing the anti-windup problem as a decoupled set of subsystems and relating this configuration to a general static anti-windup set-up, LMI conditions are established which guarantee stability and performance of the resulting closed-loop system. The approach taken, and the mapping used for the performance index, are logical and intuitive -and, it is argued, central to the 'true' anti-windup objective. The approach enables one to construct static anti-windup compensators in a systematic and numerically tractable manner. The idea is extended to allow low-order anti-windup compensators to be synthesised, which, while being sub-optimal, can improve transient performance and possess several desired properties (such as low computational overhead and sensible closed-loop pole locations). In addition, low-order anti-windup synthesis is often feasible when the corresponding static synthesis is not.

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Section: Introductionmentioning

confidence: 88%

A new perspective on static and low order anti-windup synthesis

Turner

Postlethwaite

2004

International Journal of Control

157

139

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“…Hence, an anti-windup PI compensator is proposed to be used instead of pure PI compensator. Here tracking anti-windup, which is a simple and classic anti-windup method, is used [15]. The structure of anti-windup PI compensator is illustrated in Fig.…”

Section: Compensator Improvementmentioning

confidence: 99%

“…The saturated range from -u m to +u m represent the linear range of the actuator. Furthermore, the saturation gain b relates with integral gain K I and tracking gain K T as follows: A rule of thumb for the setting of K T is often to be K T =K I which corresponds to b=1, but a higher values may give a further improvement in performances [15].…”

Section: Compensator Improvementmentioning

confidence: 99%

“…Although it is stated that a rule of thumb for the setting of K T is often K T = K I which corresponds to b=1, but a higher values may give a further improvement in performances [15]. Therefore, in order to find the appropriate value of K T , an experimental has been done for different values of b which represent the ratio between tracking gain K T and integral gain K I.…”

Section: The Effect Of the Tracking Gain K T On Positioning Perfomentioning

confidence: 99%

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Performance improvement of improved practical control method for two-mass PTP positioning systems in the presence of actuator saturation

Yakub

Akmeliawati

2011

2011 IEEE Applied Power Electronics Colloquium (IAPEC)

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The positioning systems generally need a good controller to achieve a fast response, high accuracy and robustness. In addition, ease and simplicity of controller design structure are very important for practical applications. For satisfying these requirements, NCTF controller has been proposed as a practical control method for two-mass rotary PTP positioning systems. However, the effect of the actuator saturation cannot be completely compensated due to integrator windup when the object parameter varies. This paper presents a method to further improve NCTF controller to overcome the problem of integrator windup. The improved NCTF controller is evaluated experimentally using rotary two-mass positioning system. The effect of the design parameters on the robustness of the improved NCTF with anti-windup integrator controller is evaluated and compared with NCTF without anti-windup integrator and the equivalent PID controller. The results show that the improved NCTF controller is effective to compensate the effect of integrator windup.

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“…Performance synthesis for saturated systems is still an active area of research, as can be seen from the many publications in that field in recent years [32][33][34][35][36][37][38][39][40][41]. For the examples considered in this work it turned out to be successful to first do a controller design for the unsaturated system.…”

Section: Remarkmentioning

confidence: 99%

A robustness approach to linear control of mildly nonlinear processes

Schweickhardt

Allgöwer

2007

Intl J Robust & Nonlinear

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SUMMARYWe present a novel approach toward linear control of nonlinear systems. Combining robust control theory and nonlinearity measures, we derive a method to (i) assess the nonlinearity of a given control system, (ii) derive a suitable linear model (not necessarily equivalent to the local linearization), and (iii) design a linear controller that guarantees stability of the closed loop containing the nonlinear process. A distinctive feature of the approach is that the nonlinearity analysis, linear model derivation and linear controller synthesis can be done on an operating regime specified by the designer. Examples are given to illustrate the approach.

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Anti-windup synthesis for guaranteed ℒ/sub 2/ performance

Cited by 18 publications

References 7 publications

A new perspective on static and low order anti-windup synthesis

A new perspective on static and low order anti-windup synthesis

Performance improvement of improved practical control method for two-mass PTP positioning systems in the presence of actuator saturation

A robustness approach to linear control of mildly nonlinear processes

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