Parametric design of reduced-order functional observers for linear time-varying delay systems

D, Gu; Wang, Shuo; Liu, Quan-Zhi; Zhao, Jincheng

doi:10.1177/00202940221104481

Cited by 3 publications

(2 citation statements)

References 44 publications

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“…The matrices V ∈ C n × n u and W f ∈ C r × n u are the unknown matrices to be determined. The above Sylvester equation has a wide range of applications in the control theory (Gu et al, 2022b, 2022c; Heyouni et al, 2019).…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Partial eigenstructure assignment for descriptor high-order linear systems via proportional plus derivative state feedback: A parametric approach

Wang

Liu

2023

Transactions of the Institute of Measurement and Control

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In this paper, we present a parametric method to design proportional plus derivative (PD) state feedback for the problem of partial eigenstructure assignment (PESA) in a type of descriptor high-order linear time-invariant (LTI) systems. By dividing the original eigenstructure into replaced and remaining parts and using the solutions to the high-order generalized Sylvester equations (HGSEs), complete parameterized expressions of PD feedback controller and the replaced part of the right eigenvector matrix are established. With the proposed approach, the unsatisfactory eigenstructure in the open-loop system is changed into the expected eigenstructure in the closed-loop system, while the satisfactory part in the open-loop system is retained. Meanwhile, the regularity of the closed-loop system can also be well-guaranteed by the selection of arbitrary parameters. Finally, a numerical example and a flexible-joint robot system are presented to verify the feasibility and effectiveness of the proposed method, respectively.

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Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Partial eigenstructure assignment for descriptor high-order linear systems via proportional plus derivative state feedback: A parametric approach

Wang

Liu

2023

Transactions of the Institute of Measurement and Control

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“…Bezzaoucha et al (2018) used the Lyapunov theory to derive the conditions of LMIs under the polyhedral Takagi-Sugeno framework and proposed a construction method to design a functional observer for nonlinear systems. More related work can be found in the literature (Ahlem et al, 2016;Gu et al, 2019Gu et al, , 2020Gu et al, , 2022d.…”

Section: Introductionmentioning

confidence: 99%

Functional interval observer design for linear time-varying systems with additive disturbances

Sun

Liu

2022

Transactions of the Institute of Measurement and Control

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This paper investigates the problem of the functional interval observer design for linear time-varying (LTV) systems with additive disturbances in both input and output channels. First, sufficient conditions for the existence of a functional interval observer for LTV systems are proposed. Based on the solution of a type of Sylvester matrix equations (generalized Sylvester equations, GSEs), completely parameterized expressions of functional interval observer coefficient matrices are established, yielding a simple and effective design approach for solving the interval estimation issue of the LTV system, while the free parameters in the expressions provide the design degrees of freedom that can be utilized to achieve additional system specifications. Furthermore, the developed observer may execute state estimation at the desired convergence rate, considerably improving estimate performance. Finally, a numerical example and a back-to-turn (BTT) aircraft control example are presented, with the results showing that the upper and lower bounds provided by the designed observer provide a better performance of interval estimation of the functional state variables, demonstrating the effectiveness of the proposed method.

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Parametric design method for partial eigenstructure assignment of second-order linear systems via observer-based state feedback

Duan

Wang

et al. 2023

European Journal of Control

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Parametric design of reduced-order functional observers for linear time-varying delay systems

Cited by 3 publications

References 44 publications

Partial eigenstructure assignment for descriptor high-order linear systems via proportional plus derivative state feedback: A parametric approach

Partial eigenstructure assignment for descriptor high-order linear systems via proportional plus derivative state feedback: A parametric approach

Functional interval observer design for linear time-varying systems with additive disturbances

Parametric design method for partial eigenstructure assignment of second-order linear systems via observer-based state feedback

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