scholarly journals Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Mihai Lungu
Keyword(s):  
Linear Time ◽  
Design Procedure ◽  
Lyapunov Theory ◽  
Design Algorithm ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Linear Time Invariant ◽  
Reduced Order Observer ◽  
Multiple Observer ◽  
Takagi Sugeno

The paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with Takagi-Sugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. The new multiple observer is a combination of a typical reduced-order observer for linear-time invariant multivariable systems and a full-order multiple observer for Takagi-Sugeno systems. The sufficient stability conditions of the observer are derived via the Lyapunov theory and its robustness is improved by means of a novel and efficient method which cancels the negative effect of the uncertainties appearing in the system. To validate the suggested design algorithm, the steps of the design procedure have been summarized and software implemented for the concrete case of a light aircraft lateral-directional motion.

Reduced-Order Multiple Observer for Aircraft State Estimation during Landing

2016 ◽  
Vol 841 ◽  
pp. 253-259 ◽  
Author(s):  
Mihai Lungu ◽  
Romulus Lungu
Keyword(s):  
State Estimation ◽  
Finite Time ◽  
Design Procedure ◽  
Lyapunov Theory ◽  
Multiple Model ◽  
Reduced Order ◽  
Reduced Order Observer ◽  
Multiple Observer ◽  
Aircraft Motion

The paper presents a new reduced-order multiple observer which can achieve the finite-time reconstruction of the system’s state associated to a multiple-model. This observer is a combination of a reduced-order observer and a full-order multiple observer. The design of the new observer involves the usage of the Lyapunov theory, the solving of a linear matriceal inequality, and a variables’ change. The steps of the design procedure have been software implemented in order to validate the new reduced-order multiple observer for the case of an aircraft motion during landing.

scholarly journals Order Reduction based on Coulomb’s and Franklin’s laws Algorithm

2021 ◽  
Author(s):  
Ram Kumar ◽  
Afzal Sikander
Keyword(s):  
Large Scale ◽  
Linear Time ◽  
Order Reduction ◽  
Absolute Error ◽  
Search Space ◽  
Engineering Problem ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Linear Time Invariant

Abstract The Coulomb and Franklin laws (CFL) algorithm is used to construct a lower order model of higher-order continuous time linear time-invariant (LTI) systems in this study. CFL is quite easy to implement in obtaining reduced order model of large scale system in control engineering problem as it employs the combined effect of Coulomb’s and Franklin’s laws to find the best values in search space. The unknown coefficients are obtained using the CFLA methodology, which minimises the integral square error (ISE) between the original and proposed ROMs. To achieve the reduced order model, five practical systems of different orders are considered. Finally, multiple performance indicators such as the ISE, integral of absolute error (IAE), and integral of time multiplied by absolute error were calculated to determine the efficacy of the proposed methodology. The simulation results were compared to previously published well-known research.

scholarly journals Robust Functional Interval Observer for Multivariable Linear Systems

2019 ◽  
Vol 141 (9) ◽  
Author(s):  
Luc Meyer
Keyword(s):  
Linear System ◽  
Linear Function ◽  
Continuous Time ◽  
State Vector ◽  
Internal State ◽  
Design Procedure ◽  
Reduced Order ◽  
Reduced Order Observer ◽  
Interval Observer ◽  
Interval Observers

The study of a continuous-time multivariable linear system may not need the knowledge of the entire internal state vector, but only of a linear function of it. In this case, instead of designing a complete observer, only a functional (also called reduced order) observer is used. In this field of research, this paper focuses on robust functional cooperative interval observers. Such an observer is proposed and its properties (in particular, its convergence) are established. Then, a design procedure is given for practical use. Finally, the theoretical contributions are illustrated in examples.

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