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model reference control for Reducing Pilot-Induced Oscillation Tendencies

JOURNAL OF GUIDANCE control AND DYNAMICS 2025年第2期48卷 226-239页

作者： Newton, Loren J. Kroo, Ilan M. Stanford Univ Dept Aeronaut & Astronaut Stanford CA 94305 USA

Lags between pilot inputs and aircraft responses may lead to a pilot-vehicle system entering into a pilot-induced oscillation. A model reference control element can compensate for these lags, avoiding pilot-induced oscillations and improving tracking performance. Neural network compensation drives the combined controller-plant system to exhibit a closed-loop response similar to that of an idealized system, immune to the factors that trigger pilot-induced oscillations. Actuator rate limiting has been a historically ubiquitous cause of pilot-induced oscillations;meanwhile, aeroelastic effects pose a threat to future lightweight, flexible aircraft designs. model reference control can reduce pilot-induced oscillation tendencies caused by either of these factors. This paper presents the methods used to train the model reference controller, including conditions for system stability under model reference control. It then showcases results from a pair of simulation experiments applying the control design to compensate for rate limiting and aeroelasticity, respectively. Results demonstrate that the model reference control scheme reduces pilot-induced oscillation tendencies and improves closed-loop tracking performance.

关键词： Artificial Neural Network Lyapunov Equation Aeroelastic modeling Aerospace Engineering Aircraft Dynamic Modes Flight control Pilot Induced Oscillation model reference control

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model reference control in quasi-linear systems with a parametric feed-forward compensator and state-feedback stabilization controller

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND control 2022年第7期44卷 1518-1527页

作者： Liu, Weizhen Duan, Guangren Gu, Dake Harbin Inst Technol Ctr Control Theory & Guidance Technol Harbin 150001 Peoples R China Northeast Elect Power Univ Sch Automat Engn Jilin Peoples R China

In this paper, a parametric feed-forward compensator and a parametric state-feedback stabilization controller are proposed for the model reference control to a class of quasi-linear systems. Quasi-linear systems are a special type of nonlinear systems whose coefficient matrices contain the state variables and also a time-varying parameter vector. The parametric state-feedback stabilization controller guarantees the stability of the closed-loop system and the parametric feed-forward compensator compensates the effect of the reference model state to the tracking error. The complete parametrization of the parametric feed-forward compensator is established based on a complete parametric solution to a class of generalized Sylvester matrix equations and solution of a coefficient matrix such that two matrix equations are satisfied. The established parametric state-feedback stabilization controller only needs a complete parametric solution to the same generalized Sylvester matrix equations but with different sets of freely designed parameters that represent the degrees of design freedom and may be further utilized to improve the system performance. A linear closed-loop form with the desired eigenstructure can be derived with the proposed parametric feed-forward compensator and parametric state-feedback stabilization controller, and a constant linear can even be obtained in certain cases. A numerical example and the application in spacecraft rendezvous are provided to illustrate the effectiveness of the proposed approach.

关键词： Quasi-linear systems model reference control Sylvester matrix equations parametric feed-forward compensator (PFFC) parametric state-feedback stabilization controller (PSFSC)

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model reference control of Constrained Overactuated Systems with Integral Compensation 61

Model Reference Control of Constrained Overactuated Systems ...

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IEEE 61st Conference on Decision and control (CDC)

作者： Le Goff, Gregoire Bodson, Marc Fadel, Maurice Univ Toulouse CNRS LAPLACE INPT Toulouse France Univ Utah Dept Elect & Com puter Engn Salt Lake City UT USA

ISBN: (纸本)9781665467612

A model reference control allocation (CA) method is modified to become a control allocation method with integrator (CAI), it significantly improves control performance while readily integrating with existing methods. In general, CA methods take advantage of the redundancy of an overactuated system to achieve control objectives while respecting actuator limits. The method of this paper adds integral compensation to a CA method for multivariable model reference control with the special property that the closed-loop behavior remains the same. The transfer function matrix is preserved, yet zero static error results when experiencing small parametric uncertainties and constant disturbances. The application of the concept to the coordinated control of multiple buck converters feeding a common load is considered. A simulation of the system confirms the benefits of the proposed method.

关键词： model reference control control Allocation Integrator Online Optimization control Method

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High-order repetitive model reference control for linear systems with uncertain periodic references and disturbances

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INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2022年第7期53卷 1456-1468页

作者： Kurniawan, Edi Harno, Hendra G. Adinanta, Hendra Natl Res & Innovat Agcy Res Ctr Phys Jakarta Indonesia Gyeongsang Natl Univ Dept Aerosp & Software Engn Jinju Si South Korea Natl Res & Innovat Agcy Lab Hydrodynam Technol Jakarta Indonesia

This paper presents a systematic method to design a high-order repetitive model reference controller (HO-RMRC) for a discrete-time linear system that is subject to uncertain periodic references and disturbances. The controller design method we propose is established by combining two controller design schemes: high-order repetitive control (HORC) and model reference control (MRC). Here, the HORC is used to suppress uncertain periodic disturbances significantly and the MRC is used to track time-varying references without introducing new transient responses. The stability analysis of the resulting closed-loop system is provided and describes how admissible learning gains are determined to achieve stability and a desirable convergence rate. The efficacy of the proposed control method is demonstrated via numerical simulations where the performance of the resulting HO-RMRC is compared with those of the HORC and the MRC as standalone controllers. It is evident that the HO-RMRC outperforms the HORC and the MRC in simultaneously achieving perfect reference tracking and disturbance cancellation/attenuation.

关键词： High-order repetitive control model reference control time-varying references uncertain disturbances

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Mixed H2/H∞ model reference control of linear parameter-varying discrete-time systems with real-time application to aeropendulum system

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR control 2022年第18期32卷 9920-9938页

作者： Abdullah, Ali Borham, Nirvana Kuwait Univ Dept Elect Engn Khaldiya Kuwait

The investigation of this paper revolves around the problem of designing mixed H2/H infinity$$ {H}_2/{H}_{\infty } $$ model reference control (MRC) systems of linear parameter-varying discrete-time systems. In this paper, two types of mixed H2/H infinity$$ {H}_2/{H}_{\infty } $$ MRC systems are considered. These two types are the mixed H2/H infinity$$ {H}_2/{H}_{\infty } $$ state-feedback and the mixed H2/H infinity$$ {H}_2/{H}_{\infty } $$ dynamic output-feedback MRC systems that are designed using a parameter-dependent Lyapunov function. The experimental results of the aeropendulum system are used to evaluate and show the effectiveness of the proposed controllers. The results indicate the satisfactory performances of the closed-loop systems.

关键词： discrete-time dynamic output-feedback linear parameter-varying model reference control parameter-dependent Lyapunov function state-feedback

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Robust model reference control for second-order descriptor linear systems subject to parameter uncertainties

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND control 2022年第3期44卷 658-675页

作者： Tian, Guang-Tai Duan, Guang-Ren Harbin Inst Technol Ctr Control Theory & Guidance Technol POB 416 Harbin 150001 Peoples R China

This paper is devoted to designing the robust model reference controller for uncertain second-order descriptor linear systems subject to parameter uncertainties. The parameter uncertainties are assumed to be norm-bounded. The design of a robust controller can be divided into two separate problems: a robust stabilization problem and a robust compensation problem. Based on the solution of generalized Sylvester matrix equations, we obtain some sufficient conditions to guarantee the complete parameterization of the robust controller. The parametric forms are expressed by a group of parameter vectors which reveal the degrees of freedom existing in the design of the compensator and can be utilized to solve the robust compensation problem. In order to reduce the effect of parameter uncertainties on the tracking error vector, the robust compensation problem is converted into a convex optimization problem with a set of linear matrix equation constraints. A simulation example is provided to illustrate the effectiveness of the proposed technique.

关键词： model reference control parametric approach proportional plus derivative (PD) feedback second-order descriptor systems parameter uncertainties

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Quantized-output feedback model reference control of discrete-time linear systems

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AUTOMATICA 2022年 137卷 110027-110027页

作者： Zhang, Yanjun Zhang, Ji-Feng Liu, Xiao-Kang Liu, Zhen Beijing Inst Technol Sch Automation Beijing 100081 Peoples R China Chinese Acad Sci Acad Math & Syst Sci Inst Syst Sci Key Lab Syst & Control Beijing 100190 Peoples R China Univ Chinese Acad Sci Sch Math Sci Beijing 100149 Peoples R China Huazhong Univ Sci & Technol Sch Artificial Intelligence & Automat Wuhan 430074 Peoples R China Chinese Acad Sci Inst Automat Integrated Informat Syst Res Ctr Beijing 100190 Peoples R China

This paper proposes a model reference control (MRC) scheme for general discrete-time linear time-invariant (LTI) systems subject to output quantization and saturation. In such a scheme, the quantized-output feedback MRC law is analytically specified only by using external reference input and saturated-and-quantized output. It is proven that, by appropriately designing the sensitivity of the quantizer, the MRC law can ensure that all closed-loop signals are bounded and the output tracking error converges to a certain small residual set in a certain finite time only under the minimum-phase condition. Particularly, the proposed MRC scheme does not rely on the coprimeness of zero and pole polynomials or initial conditions that are commonly used in the related literature. A representative example is given to demonstrate the design procedure and verify the validity of the proposed MRC scheme. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： model reference control Discrete-time Output tracking Quantized-output feedback

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Robust model reference control for uncertain second-order system subject to parameter uncertainties

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TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND control 2022年第1期44卷 88-104页

作者： Tian, Guang-Tai Duan, Guang-Ren Harbin Inst Technol Ctr Control Theory & Guidance Technol POB 416 Harbin 150001 Peoples R China

This paper is devoted to designing a robust model reference controller for uncertain second-order systems subject to parameter uncertainties. The system matrix of the first-order reference model is more general and the parameter uncertainties are assumed to be norm-bounded. The design of robust controller can be devided into two separate problems: problem robust stabilization and problem robust compensation. Based on the solution of generalized Sylvester matrix equations, we obtain some sufficient conditions to guarantee the complete parameterization of the controller. Then, the problem robust compensation of the closed-loop system is estimated by solving a convex optimisation problem with a set of linear matrix equations constraints. Two simulation examples are provided to illustrate the effectiveness of the proposed technique.

关键词： Robust control model reference control second-order systems parameter uncertainties robust stabilization robust compensation

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Direct Data Driven model reference control for Flight Simulation Table

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IEEE ACCESS 2022年 10卷 34415-34427页

作者： Jianhong, Wang Ramirez-Mendoza, Ricardo A. Tecnol Monterrey Sch Sci & Engn Monterrey 64849 Mexico

We present a direct data driven model reference control framework for flight simulation table from both the theoretical analysis and engineering application. Sate of the art direct driven model reference control designs the unknown controller based on the input-output data and guarantees the actual model converge to the reference model, under a case of no any priori knowledge for the unknown plant. We improve this direct data driven model reference control strategy by considering its stability validation and synthesis analysis for nonlinear controller. The resulting direct data driven model reference control scheme can be implemented to ensure flight simulation table rotate accuracy, resulting in improved performance index. As the main technical contribution, we show that the proposed direct data driven model reference control framework also ensures closed loop stability and suitable extension for nonlinear controller.

关键词： Data models Predictive control Predictive models Analytical models Uncertainty Probabilistic logic Mathematical models model reference control direct data driven flight simulation table synthesis analysis

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model reference control for Linear Time-Varying Systems: A Direct Parametric Approach

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IEEE ACCESS 2020年 8卷 61202-61212页

作者： Liu, Yin-Dong Wang, Li-Mei Liu, Long-Wen Shenyang Univ Technol Sch Elect Engn Shenyang 110870 Peoples R China Northeast Elect Power Univ Sch Automat Engn Jilin 132012 Jilin Peoples R China South China Univ Technol Coll Automat Sci & Technol Guangzhou 510641 Peoples R China

This paper investigates model reference control for linear time-varying (LTV) systems. It is shown that the problem can be decomposed into two sub-problems: a state feedback stabilization problem of LTV systems and a feed-forward compensation problem. Firstly, the sufficient condition for the existence of the model reference control is deduced. The condition concerns two coefficient matrices such that two matrix equations are met simultaneously, and the state feedback gain matrix stabilizes LTV systems according to the unified spectral theory. Secondly, generally complete parametrization of the model reference tracking controller including a state feedback controller and a feed-forward compensator is proposed based on the solution to a type of generalized Sylvester matrix equations. Furthermore, a general procedure for solving the model reference control problem is also provided. Finally, a numerical example shows the feasibility and effectiveness of the parametric design approach to the model reference control in LTV systems.

关键词： Linear time-varying systems model reference control parametric approach PD-eigenstructure Sylvester equations

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