Multiobjective control for multivariable systems with mixed-sensitivity specifications

Stoustrup, Jakob; Niemann, Hans Henrik

doi:10.1080/002071797224711

Cited by 9 publications

(6 citation statements)

References 10 publications

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“…multiobjective controller design more easy. This concept has been used in Reference [8] in connection with a multi-objective design method based on optimization of sensitivity functions.…”

Section: Theorem 36mentioning

confidence: 99%

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Switching between multivariable controllers

Niemann

Stoustrup

Abrahamsen³

2004

Optim Control Appl Methods

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A concept for implementation of multivariable controllers is presented in this paper. The concept is based on the Youla–Jabr–Bongiorno–Kucera (YJBK) parameterization of all stabilizing controllers. Using this scheme for implementation of multivariable controllers, it is shown how it is possible to smoothly switch between multivariable controllers with guaranteed closed‐loop stability. This includes also the case where one or more controllers are unstable.The concept for smooth on‐line changes of multivariable controllers based on the YJBK architecture can also handle the start‐up and shut down of multivariable systems. Furthermore, the start‐up of unstable multivariable controllers can be handled as well. Finally, implementation of (unstable) controllers as a stable Q parameter in a Q‐parameterized controller can also be achieved. Copyright © 2004 John Wiley & Sons, Ltd.

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“…multiobjective controller design more easy. This concept has been used in Reference [8] in connection with a multi-objective design method based on optimization of sensitivity functions.…”

Section: Theorem 36mentioning

confidence: 99%

“…If M i and * U U i are stable and satisfy the Bezout equation in (8), then the closed-loop transfer function T zw is stable. The design of the controller can then be done in open loop, which make e.g.…”

Section: Theorem 36mentioning

confidence: 99%

Switching between multivariable controllers

Niemann

Stoustrup

Abrahamsen³

2004

Optim Control Appl Methods

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“…Doing the optimizations independently eliminates some of the conservatism usually introduced in H ∞ optimization This possibility for separation shall explicitly be exploited in the design procedure below. A separation principle similar in spirit to this is described in [SN96].…”

Section: Resultsmentioning

confidence: 99%

Integrated control and fault diagnosis design: a polynomial approach

Stoustrup

Grimble

1996

IEE Colloquium on Modelling and Signal Processing for Fault Diagnosis

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A design method is presented which integrates control action and fault detection and isolation. Control systems operating under potentially faulty conditions are considered, and it is demonstrated how to design a single unit which handle both the required control action, as well as identifying faults occuring in actuators and sensors. This unit is able to: (1) follow references and reject disturbances robustly, (2) control the system such that undetected failures do not have disastrous effects, (3) reduce the number of false alarms, and (4) identify which faults have occured. The method uses a type of separation principle which makes the design process very transparent, and a polynomial H ∞ formulation which makes weight selection straightforward. As a consequence of the separation between control and diagnosis, we shall prove that the controller needs not be detuned in order to get good diagnosis results, in contrast to common beliefs.

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“…Including an explicit description of the uncertainties in connection with fault detection has been given by Mangoubi et al (1995) and Stoustrup et al (1997). Among other things, it is shown in Stoustrup et al (1997) that the design of fault detectors and feedback controllers are coupled in the uncertain case whereas they are uncoupled in the nominal case. It is therefore well motivated to look at the fault detection problem for uncertain systems.…”

Section: The Uncertain Fdi Setupmentioning

confidence: 99%

Norm based design of fault detectors

Rank¹,

Niemann²

1999

International Journal of Control

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103

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The design of fault detectors for fault detection and isolation (FDI) in dynamic systems is considered in this paper from a norm based point of view. An analysis of norm based threshold selection is given based on di erent formulations of FDI problems. Both the nominal FDI problem as well as the uncertain FDI problem will be considered. With reference to this analysis, a performance index based on norms of the involved transfer functions is given. A method for designing FDI ® lters which will minimize the performance index is also given.

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Multiobjective control for multivariable systems with mixed-sensitivity specifications

Cited by 9 publications

References 10 publications

Switching between multivariable controllers

Switching between multivariable controllers

Integrated control and fault diagnosis design: a polynomial approach

Norm based design of fault detectors

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