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        Parametric Design for Proportional Plus Double Integral Controller with Applications to Tracking Control in Space Optical Communication

        Tianyi Zhao,Guangren Duan 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.9

        A complete parametric design approach is developed for a type of proportional plus double integral (P2I) controller. The proposed control law guarantees that the closed-loop system has the desired eigenstructure, and the output asymptotically tracks the ramp-type reference signal in the presence of ramp-type external disturbances. The proposed method is superior to the existing results in that it provides all degrees of freedom in design, which are further used to suppress the effects of other complicated time-varying disturbances and parameter perturbations by minimizing certain performance indices. The proposed method is applied to the high accuracy tracking control system design for satellite optical communication. Simulation results verify the superiority of the proposed method over the traditional proportional-integral (PI) controller.

      • KCI등재

        Parametric Design for Observer-based P2I Controller with Applications to High-accuracy Tracking Control in Space Optical Communication

        Tianyi Zhao,Guangren Duan 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.2

        A parametric design approach is proposed for the proportional plus double integral (P2I) control law based on a reduced-order Luenberger state observer. Firstly, based on the Separation Principle of Eigenstructures proven in this paper, a complete parametric expression of the control law is obtained by parameterizing the statefeedback P2I control law and the reduced-order observer separately. The control law guarantees that the closed-loop system possesses desired eigenstructures, and the output asymptotically tracks a given ramp-type reference signal in the presence of ramp-type disturbances. All design degrees of freedom are obtained, which can be used to further achieve better performance by optimizing the parameters. Secondly, in order to enhance the robustness to other types of disturbances and parameter perturbations, two performance indices are parameterized, namely, the disturbance attenuation index and the eigenvalue sensitivity index, the latter is derived by using the obtained Separation Principle of Eigenvalue Sensitivities. Finally, the application to the high accuracy tracking control system design for satellite optical communication is presented, which well verifies the effect and the superiority of the proposed method. A parametric design approach is proposed for the proportional plus double integral (P2I) control law based on a reduced-order Luenberger state observer. Firstly, based on the Separation Principle of Eigenstructures proven in this paper, a complete parametric expression of the control law is obtained by parameterizing the statefeedback P2I control law and the reduced-order observer separately. The control law guarantees that the closed-loop system possesses desired eigenstructures, and the output asymptotically tracks a given ramp-type reference signal in the presence of ramp-type disturbances. All design degrees of freedom are obtained, which can be used to further achieve better performance by optimizing the parameters. Secondly, in order to enhance the robustness to other types of disturbances and parameter perturbations, two performance indices are parameterized, namely, the disturbance attenuation index and the eigenvalue sensitivity index, the latter is derived by using the obtained Separation Principle of Eigenvalue Sensitivities. Finally, the application to the high accuracy tracking control system design for satellite optical communication is presented, which well verifies the effect and the superiority of the proposed method.

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