Switching LPV Control for a High Performance Tactical Aircraft

Lu, Bei; Wu, Fen; Kim, SungWan

doi:10.2514/6.2004-4999

Cited by 7 publications

(5 citation statements)

References 26 publications

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“…Step 1: fixed η, λ and given poles of the closed loop system μ 0 < 0, the solution (19) obtained W, Y, δ, when δ greater than or equal to the set value into the Step 2, otherwise reduce the closed-loop system pole boundary values μ 0 = μ 0 − μ, ( μ > 0) and continue to solve (19) until there are no less than the set value;…”

Section: The Controller Calculatesmentioning

confidence: 99%

“…Gain-scheduled control theory is a hot field of the control community in recent years [14][15][16][17][18][19][20][21][22][23], the literature [21,23] research parameter time-varying system controller design with the amplitude actuator saturated constraint. Gainscheduled control system is designed with multi-saturated constraints in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Gain-scheduled controllers design for interceptor parameter-varying system with multi-saturated constraint

Guo-long

Liang

2013

Int. J. Dynam. Control

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Based on homogeneous polynomial parameter dependent Lyapunov function (HPPDLF) theory and the algorithm that the nonlinear matrix differential equations converted into convex polyhedron state equations, the robust optimal control system is designed, for the interceptor with time-varying parameters and actuator nonlinear multisaturated constraint. First, the model of the actuator saturation operator is established, which provides the control system topology. The nonlinear differential equations with time-varying parameters converted into the linear polytopic vertex system by introduced the normalization factors of the amplitude and rate actuator saturation, and then it converted into HPPD matrix differential equations, based on HPPDLF theory and the extension of Pólya's theorem to the case of matrix-valued polynomials. The dynamic performance of the closed-loop control system is obtained by setting the minimum allowable value of the scaling factor, when solving the minimum of the maximum homothetic set in the iterative processing. Finally the simulations of the interceptor have demonstrated the effectiveness of the approach proposed.

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Section: The Controller Calculatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gain-scheduled controllers design for interceptor parameter-varying system with multi-saturated constraint

Guo-long

Liang

2013

Int. J. Dynam. Control

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“…However, modern aero-engines work in a wide flight envelope, and the parameters change rapidly. The truth is that in the early practice, gain scheduling control virtually gives no guarantee of performance, robustness, or stability [9].…”

Section: Introductionmentioning

confidence: 99%

Improved Gain Scheduling Control and Its Application to Aero-Engine LPV Synthesis

Liu

Zhu

et al. 2020

Energies

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Issues of gain scheduling control for aero-engines are addressed in this paper. An aero-engine is a system with high nonlinearity, and the requirement on controlling performance is high. Linear Parameter Varying (LPV) synthesis is commonly used to satisfy the requirements. However, the designing procedure of an LPV synthesis controller is complex, and may lead to undesirable design results when the variation rate of scheduling parameter is relatively fast. In this paper, an improved gain scheduling design procedure that can guarantee reliable stability and performance is developed. The method allows arbitrary variation of scheduling parameters, and is a modification for conventional LPV synthesis control. Special cases where traditional LPV synthesis control can still work are also discussed. The modified design procedure is evaluated on a small turbofan engine. Simulations show that for conditions where conventional scheduling fail to stabilize the plant, the proposed modification can ensure reliability and achieve desired performance.

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“…At the same time, the theoretical support is insufficient, the global performance of the overall system cannot be guaranteed theoretically. Therefore, the traditional variable gain controller has been difficult in application for aeroengine control system, which needs further exploration [7]. On the other hand, the idea of LPV control is to design a gain scheduling controller through the established LPV model transformed from the original nonlinear system.…”

Section: Introductionmentioning

confidence: 99%

LPV/PI Control for Nonlinear Aeroengine System Based on Guardian Maps Theory

Qian

Zhang

et al. 2019

IEEE Access

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The requirement of fighter's maneuverability puts forward higher indexes for the control performance of aeroengine. It is generally recognized that the proportion integration (PI) control is the most commonly used control method of aeroengine. However, due to the high nonlinearity and performance requirements of aeroengine, the selection of PI parameters needs more accurate methods to satisfy higher performance requirements. In this paper, the linear parameter varying (LPV) model is established according to a nonlinear mathematical model of a turbofan engine. Then, the LPV/PI control based on guardian maps theory is proposed to solve the highly nonlinear aeroengine control problem which improves the response characteristics of aeroengine without changing the control method in the range of the scheduling parameters. In the process of design, a set of controller parameters satisfying the performance requirements is automatically generated by a given initial controller parameter, so designing the controllers at multiple equilibrium points is avoided. Finally, the simulations are performed by the integral separation of PI control at different points in the flight envelope for the nonlinear model. The results illustrate that the control method based on guardian maps theory can contribute significantly to solving the nonlinear problems of aeroengine control system. INDEX TERMS Aeroengine, guardian maps theory, linear parameter varying model, proportion integration control.

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Switching LPV Control for a High Performance Tactical Aircraft

Cited by 7 publications

References 26 publications

Gain-scheduled controllers design for interceptor parameter-varying system with multi-saturated constraint

Gain-scheduled controllers design for interceptor parameter-varying system with multi-saturated constraint

Improved Gain Scheduling Control and Its Application to Aero-Engine LPV Synthesis

LPV/PI Control for Nonlinear Aeroengine System Based on Guardian Maps Theory

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