Optimization and implementation of dynamic anti-windup compensators with multiple saturations in flight control systems

Biannic, Jean‐Marc; Tarbouriech, Sophie

doi:10.1016/j.conengprac.2008.11.002

Cited by 71 publications

(75 citation statements)

References 19 publications

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“…which ends the proof It is now possible to define a static nonlinear operator Πū [1] ,ū [2] (.) : R m → R 2m as q [12] q [2] …”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

“…The non-square vernacular arises because Lemma 2 provides "sector-like" inequalities for the nonsquare nonlinear operator Πū [1] ,ū [2] (.) : R m → R 2m defined above.…”

Section: Remarkmentioning

confidence: 99%

“…lead, assumingū [2] i >ū [1] i , to the decentralised operator Dū [1] ,ū [2] (.) : R m → R m defined below.…”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

“…The i'the element of the Dū [1] ,ū [2] (u) is denoted D i (u i ). The non-square sector condition requires a preliminary result: (1) and α i as…”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

“…Many modern approaches to AW design are based on tools from convex optimisation ( [18,13,9,31,8,21,19,21,5,1,17]) and although these provide an attractive framework for AW synthesis, the compensators produced can be conservative: while stability is guaranteed, observed time-domain performance may be disappointing. This has two main sources: (i) the quadratic Lyapunov functions and sector bounds used in the synthesis algorithms; and (ii) the linearity of the AW compensator, which means its behaviour is identical for both small and large excursions beyond the control limits.…”

Section: Introductionmentioning

confidence: 99%

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A non-square sector condition and its application in deferred-action anti-windup compensator design

Turner

Herrmann

2014

Automatica

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A sector condition for two connected deadzone nonlinearities is provided. By introducing an additional non-square operator which exploits their connectivity, a more general set of sector-like matrix inequalities is obtained. This "non-square" matrix inequality condition is applied to an anti-windup (AW) problem in which the AW compensator is not activated until the unconstrained control signal reaches a welldefined level beyond that of the physical actuator limits. The non-square sector condition allows such "deferred-action" AW synthesis to be performed in a manner much closer to traditional ("immediate") sector-based AW with either lowered conservatism or decreased computational effort in contrast to recent work. The non-square condition is applicable to other AW problems.

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“…which ends the proof It is now possible to define a static nonlinear operator Πū [1] ,ū [2] (.) : R m → R 2m as q [12] q [2] …”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

“…The non-square vernacular arises because Lemma 2 provides "sector-like" inequalities for the nonsquare nonlinear operator Πū [1] ,ū [2] (.) : R m → R 2m defined above.…”

Section: Remarkmentioning

confidence: 99%

“…lead, assumingū [2] i >ū [1] i , to the decentralised operator Dū [1] ,ū [2] (.) : R m → R m defined below.…”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

“…The i'the element of the Dū [1] ,ū [2] (u) is denoted D i (u i ). The non-square sector condition requires a preliminary result: (1) and α i as…”

Section: A Non-square Sector Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A non-square sector condition and its application in deferred-action anti-windup compensator design

Turner

Herrmann

2014

Automatica

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Structured adaptive attitude control of a satellite

Luzi

Peaucelle

Biannic

et al. 2013

Adaptive Control & Signal

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This paper introduces a method for designing structured adaptive laws for 'almost stable' systems (systems for which a static output feedback gain is known). Structuring the adaptation law allows the designer to specify different evolutions for each component of the controller. Formulated as linear matrix inequalities, the stability conditions are flexible and can fit the applications specifications. The proposed synthesis procedure is applied on 1-axis linear models of the detection of electromagnetic emissions transmitted from earthquake regions satellite, and the adaptive control law is successfully tested on a complete 3-axis simulation benchmark. Results show that the use of the -modification allows solving the problem of dynamics change between coarse and fine pointing situations. The adaptive law provides a fully continuous control, which is compared with an existing hybrid control. Results are shown to be satisfactory. STRUCTURED ADAPTIVE ATTITUDE CONTROL OF A SATELLITE 665 phase, or equivalently 'almost strictly passive' (meaning that there exists a static output feedback u D F 0 y that makes the closed loop asymptotically stable and passive) [5]. These conditions have been relaxed in [7] and in [8,9], for non-square systems for which some linear combination of the outputs (Gy) makes the new weighted system almost strictly passive. An additional extension was proposed in [10] by introducing a parallel feedforward gain (also known as shunt, see [5]). This result shows that a necessary condition for building a passivity-based adaptive control law is the existence of a static output feedback law u D F 0 y, which makes the closed loop system passive with respect to the artificial output Gy C Du. Unfortunately, the choice of F 0 , G, D appeared as a difficult problem. Finally, [11] gave a new method based on convex optimization tools (linear matrix inequality based) for the design of these gains. The method applies to any linear time-invariant (LTI) system that is 'almost stable' (meaning that there exists a static output feedback u D F 0 y that makes the closed loop asymptotically stable). The assumption is thus milder than previous almost strictly passive assumptions. The goal of the paper is to apply and extend these results to solve a satellite attitude control problem.The considered adaptive output feedback law is of the following output feedback type u.t / D K.t/e.t/, where e.t/ D y.t/ y r .t / is the error between the measured output y and the reference signal y r , and where K.t/ is the adaptive gain. Gain and output structuring is proposed,where each gain component K i .t / is adapted independently, according to a differential equation. This differential equation contains a gradient-type term G i ee T i , which drives the gains to stabilizing values, according to passivity properties. The second term of the adaptation equation is a barrier term ˆ.K i F 0i /, keeping the gains inside a bounded variation domain. The last term is the classical -modification i .K i F 0i / [5] that drives the gains asympt...

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Robust H_∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions

Saifia

Chadli

Labiod

et al. 2019

Asian Journal of Control

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In this paper, we present a new scheme for designing a H∞ stabilizing controller for discrete‐time Takagi‐Sugeno fuzzy systems with actuator saturation and external disturbances. The weighting‐dependent Lyapunov functions approach is used to design a robust static output‐feedback controller. To address the input saturation problem, both constrained and saturated control input cases are considered. In both cases, stabilization conditions of the fuzzy system are formulated as a convex optimization problem in terms of linear matrix inequalities. Two simulation examples are included to illustrate the effectiveness of the proposed design methods. A comparison with the results given in recent literature on the subject is also presented.

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Optimization and implementation of dynamic anti-windup compensators with multiple saturations in flight control systems

Cited by 71 publications

References 19 publications

A non-square sector condition and its application in deferred-action anti-windup compensator design

A non-square sector condition and its application in deferred-action anti-windup compensator design

Structured adaptive attitude control of a satellite

Robust H_∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions

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Optimization and implementation of dynamic anti-windup compensators with multiple saturations in flight control systems

Cited by 71 publications

References 19 publications

A non-square sector condition and its application in deferred-action anti-windup compensator design

A non-square sector condition and its application in deferred-action anti-windup compensator design

Structured adaptive attitude control of a satellite

Robust H∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions

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Robust H_∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions