Missile autopilot design via a modified LPV synthesis technique

Biannic, Jean‐Marc; Apkarian, Pierre

doi:10.1016/s1270-9638(99)80039-x

Cited by 53 publications

(31 citation statements)

References 4 publications

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“…(13)- (15), in order to transform the initial translational and angular state dynamics of Eqs. (1)-(2) into the final equations: 2 The equality hypotheses concerning the force and moment coefficients are valid due to the projectile body axial symmetry.…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

“…Aerodynamic control surfaces, even though they can prove to be mechanically fragile, offer the advantage of continuous time control as well as a close resemblance to well-mastered traditional missile control systems [2,6,17,21,[25][26][27]. The main means of ensuring a projectile's airframe stability are either tail-located fins or a high body roll-axis spin rate, whereas nose-located canards are additionally employed for trajectory correction.…”

Section: Introductionmentioning

confidence: 99%

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Robust gain-scheduled autopilot design for spin-stabilized projectiles with a course-correction fuze

Theodoulis

Sève

Wernert

2015

Aerospace Science and Technology

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Section: Nonlinear Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust gain-scheduled autopilot design for spin-stabilized projectiles with a course-correction fuze

Theodoulis

Sève

Wernert

2015

Aerospace Science and Technology

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“…However, the design of controllers for LPV systems has been usually performed under the assumption that there was no model uncertainty. Only a few papers have stated the importance of considering robustness against uncertainty [3,15,16,20,33,74,229,309,315,352]. In recent years, works dealing with inexactly measured parameters have been an important field of research.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast with [16,33,112,352], the robustness in the proposed approach is guaranteed a priori during the design phase.…”

Section: Introductionmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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This thesis presents some contributions to the state-of-the-art of the fields of gainscheduling and fault tolerant control (FTC).In the area of gain-scheduling, the connections between the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms are analyzed, showing that the methods for the automated generation of models by nonlinear embedding and by sector nonlinearity, developed for one class of systems, can be easily extended to deal with the other class. Then, two measures, based on the notions of overboundedness and region of attraction estimates, are proposed in order to compare different models and choose which one can be considered the best one. Later, the problem of designing state-feedback controllers for LPV systems has been considered, providing two main contributions. First, robust LPV controllers that can guarantee some desired performances when applied to uncertain LPV systems are designed, by using a double-layer polytopic description that takes into account both the variability due to the varying parameter vector and the uncertainty. Then, the idea of designing the controller in such a way that the required performances are scheduled by the varying parameters is explored, which provides an elegant way to vary online the behavior of the closed-loop system. In both cases, the problem reduces to finding a solution to a finite number of linear matrix inequalities (LMIs), which can be done efficiently using the available solvers.In the area of fault tolerant control, the thesis first shows that the aforementioned double-layer polytopic framework can be used for FTC, in such a way that different strategies (passive, active and hybrid) are obtained depending on the amount of available information. Later, an FTC strategy for LPV systems that involves a reconfigured reference model and virtual actuators is developed. It is shown that by including the saturations in the reference model equations, it is possible to design a model reference FTC system that automatically retunes the reference states whenever the system is affected by saturation nonlinearities. In this way, a graceful performance degradation in presence of actuator saturations is incorporated in an elegant way. Finally, the problem of FTC of unstable LPV systems subject to actuator saturations is considered. In this case, the design of the virtual actuator is performed in such a way that the convergence of the state trajectory to zero is assured despite the saturations and the appearance of faults. Also, it is shown that it is possible to obtain some guarantees about the tolerated delay between the fault occurrence and its isolation, and that the nominal controller can be designed so as to maximize the tolerated delay.i Resum Aquesta tesi presenta diverses contribucions a l'estat de l'art del control per planificació del guany i del control tolerant a fallades (FTC).Pel que fa al control per planificació del guany, s'analitzen les connexions entre els paradigmes dels sistemes lineals a paràmetres variants en el temps (LPV) i d...

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“…In addition to these generalizations of [9], which paper only considers specific cases, it is shown that as setting time-constant of filters shorter, the guaranteed cost is closer to those obtained by LMIs with fully parameter-dependent Lyapunov matrices. Note that filtering of scheduling parameters has been considered before in a different context in [5].…”

Section: Introductionmentioning

confidence: 99%

Gain-scheduled control synthesis by using filtered scheduling parameters

Masubuchi

Kurata

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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This paper is concerned with design of gainscheduled (GS) controllers that depend on filtered scheduling parameters. One of the most sophisticated design method, which is based on parameter-dependent Lyapunov matrices, ends up with GS controllers involving differentiation of the scheduling parameter. On the other hand, proposed GS controllers with filtered parameters avoid derivative terms of the scheduling parameter. We show that our synthesis method has guaranteed performance level less than that of GS controllers designed via constant Lyapunov matrix. Moreover, if the filter has timeconstant short enough, the performance level via the filtered scheduling parameter is close to that of conventional GS controller that needs differentiation of the parameter.

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Missile autopilot design via a modified LPV synthesis technique

Cited by 53 publications

References 4 publications

Robust gain-scheduled autopilot design for spin-stabilized projectiles with a course-correction fuze

Robust gain-scheduled autopilot design for spin-stabilized projectiles with a course-correction fuze

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Gain-scheduled control synthesis by using filtered scheduling parameters

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