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On the combined estimation of the parameters and the states of fractional-order systems

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING 2023年第10期237卷 1853-1866页

作者： Marzougui, Soumaya Bedoui, Saida Abderrahim, Kamel Univ Gabes Natl Engn Sch Gabes Res Lab Numer Control Ind Proc Gabes Tunisia

In this article, we propose an approach for system identification for a class of discrete-time fractional-order Hammerstein systems using only input-output data. Using a combined state and parameter estimation approach, we develop an algorithm serving to estimate simultaneously, the system parameters, the system orders, and the system states. By minimizing the defining criterion, which is non-convex and nonlinear in the parameters, the model parameters are estimated using the recursive least squares and the Levenberg-Marquardt algorithms. Next, the system states are estimated using the Luenberger observer. Then, the convergence analysis of the proposed algorithm is proved. Finally, the Monte Carlo simulation analysis and an application to Ultracapacitor system are used to demonstrate the effectiveness of the suggested method.

关键词： Fractional-order Hammerstein system parameter identification state estimation Levenberg-Marquardt algorithm recursive least squares algorithm Luenberger observer

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Frequency-domain adaptive detectors for single-carrier frequency-domain equalisation in multiuser direct-sequence ultra-wideband systems based on structured channel estimation and direct adaptation

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IET COMMUNICATIONS 2010年第13期4卷 1636-1650页

作者： Li, S. de Lamare, R. C. Univ York Dept Elect Commun Res Grp York YO10 5DD N Yorkshire England

Here, the authors propose two adaptive detection schemes based on single-carrier frequency-domain equalisation (SC-FDE) for multiuser direct-sequence ultra-wideband systems, which are termed structured channel estimation (SCE) and direct adaptation (DA). Both schemes use the minimum mean square error (MMSE) linear detection strategy and employ a cyclic prefix. In the SCE scheme, adaptive channel estimation is performed in the frequency domain and the despreading is implemented in the time domain after the FDE. In this scheme, the MMSE detection requires the knowledge of the number of users and the noise variance. For this purpose, simple algorithms are proposed for estimating these parameters. In the DA scheme, the interference suppression task is fulfilled with only one adaptive filter in the frequency domain and a new signal expression is adopted to simplify the design of such a filter. least mean squares, recursive least squares and conjugate gradient adaptive algorithms are then developed for both schemes. A complexity analysis compares the computational complexity of the proposed algorithms and schemes, and simulation results for the downlink illustrate their performance.

关键词： Electromagnetic compatibility and interference adaptive filters adaptive channel estimation least mean squares methods minimum mean square error linear detection strategy least mean squares algorithm ultra wideband communication frequency-domain adaptive detectors structured channel estimation multiuser direct-sequence ultra-wideband systems channel estimation direct adaptation adaptive filter gradient methods Filtering methods in signal processing equalisers interference suppression task Interpolation and function approximation (numerical analysis) recursive least squares algorithm single-carrier frequency-domain equalisation computational complexity Radio links and equipment cyclic prefix conjugate gradient adaptive algorithms Communication channel equalisation and identification spread spectrum communication interference suppression

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Parameter and State Estimation of Nonlinear Fractional-Order Model Using Luenberger Observer

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CIRCUITS SYSTEMS AND SIGNAL PROCESSING 2022年第10期41卷 5366-5391页

作者： Marzougui, Soumaya Bedoui, Saida Atitallah, Asma Abderrahim, Kamel Univ Gabes Natl Engn Sch Gabes Res Lab Numer Control Ind Proc Gabes 6029 Tunisia

This paper addresses both the problems of identification and state estimation of the class of nonlinear fractional systems. Using the combined state and parameter estimation approach, a new method of estimation serving to estimate simultaneously the unknown parameters, the unknown fractional orders and the inaccessible states, is proposed for the discrete fractional-order Wiener systems. The principle is that the estimation of the states uses the estimates of the parameters and the identification of the parameters utilizes the estimated states. By minimizing the defined criterion, which is non-convex and nonlinear in the parameters, the model parameters are firstly identified using the recursive least squares. Then, the fractional orders are determined with the Levenberg-Marquardt algorithm. Next, the estimates of the parameters and the orders will be used to estimate the immeasurable states based on the extended Luenberger observer. To prove the consistence of the proposed algorithm, a complete convergence analysis is developed. Finally, the effectiveness of the suggested method is illustrated in simulation examples.

关键词： Fractional-order Wiener model Levenberg-Marquardt algorithm Luenberger observer Parameter estimation recursive least squares algorithm State estimation

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On-line aerodynamic identification of quadrotor and its application to tracking control

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IET CONTROL THEORY AND APPLICATIONS 2017年第17期11卷 3097-3106页

作者： Lei, Wenchao Li, Chanying Chinese Acad Sci Acad Math & Syst Sci Key Lab Syst & Control Beijing 100190 Peoples R China Univ Chinese Acad Sci Sch Math Sci Beijing 100049 Peoples R China

This study investigates the aerodynamic effects and the tracking control problem of quadrotor-type unmanned aerial vehicles. The authors first present the on-line identification of the aerodynamic parameters by using the recursive least squares algorithm based on the measurement outputs of the accelerometer. Then, the non-linear discrete-time trajectory tracking controllers with aerodynamic compensation have been designed. Through identifying and compensating the external aerodynamics on line, the simulation results show that the tracking performance has been enhanced, especially when the vehicle is in some flight envelopes where the aerodynamics have significant effects on the quadrotor dynamics, such as the large-acceleration flight regime.

关键词： helicopters autonomous aerial vehicles mobile robots trajectory control compensation nonlinear control systems discrete time systems aerodynamics online aerodynamic identification quadrotor tracking control aerodynamic effects quadrotor-type unmanned aerial vehicles recursive least squares algorithm aerodynamic parameters accelerometer nonlinear discrete-time trajectory tracking controllers aerodynamic compensation large-acceleration flight regime

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A learning algorithm of CMAC based on RLS

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NEURAL PROCESSING LETTERS 2004年第1期19卷 49-61页

作者： Qin, T Chen, ZH Zhang, HT Li, SF Xiang, W Li, M Univ Sci & Technol China Dept Automat Hefei 230027 Peoples R China

Conventionally, least mean square rule which can be named CMAC-LMS is used to update the weights of CMAC. The convergence ability of CMAC-LMS is very sensitive to the learning rate. Applying recursive least squares (RLS) algorithm to update the weights of CMAC, we bring forward an algorithm named CMAC-RLS. And the convergence ability of this algorithm is proved and analyzed. Finally, the application of CMAC-RLS to control nonlinear plant is investigated. The simulation results show the good convergence performance of CMAC-RLS. The results also reveal that the proposed CMAC-PID controller can reject disturbance effectively, and control nonlinear time-varying plant adaptively.

关键词： CMAC CMAC-PID controller nonlinear plant recursive least squares algorithm

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ESTIMATION OF THE INTENSITY OF A POISSON-PROCESS

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COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION 1986年第3期15卷 747-759页

作者： LEE, CP California State Polytechnic University Pomona California United States

We propose a parametric estimator of the Poisson intensity, based on a set of successive interarrival times. The estimator is asymptotically unbiased and consistent. We use recursive least squares to estimate the para... 详细信息

关键词： recursive least squares algorithm interarrival time autoregressive linear regression model instrumental variable

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Forward/backward prediction solution for adaptive noisy FIR filtering

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Science in China(Series F) 2009年第6期52卷 1007-1014页

作者： JIA LiJuan TAO Ran WANG Yue WADA Kiyoshi Department of Electronic Engineering Beijing Institute of Technology Beijing 100081 China Department of Electrical and Electronic System Engineering Kyushu University Fukuoka Japan

An important and hard problem in signal processing is the estimation of parameters in the presence of observation *** this paper, adaptive finite impulse response （FIR） filtering with noisy input-output data is considered and two developed bias compensation least squares （BCLS） methods are *** introducing two auxiliary estimators, the forward output predictor and the backward output predictor are constructed *** exploiting the statistical properties of the cross-correlation function between the least squares （LS） error and the forward/backward prediction error, the estimate of the input noise variance is obtained; the effect of the bias can thereafter be *** results are presented to illustrate the good performances of the proposed algorithms.

关键词： adaptive FIR filtering recursive least squares algorithm bias compensation forward prediction backward prediction

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Improved RLS algorithm for time-variant underwater acoustic communications

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ELECTRONICS LETTERS 2000年第2期36卷 191-192页

作者： Yeo, HK Sharif, BS Hinton, OR Adams, AE Univ Newcastle Upon Tyne Dept Elect & Elect Engn Newcastle Upon Tyne NE1 7RU Tyne & Wear England

An extension to the concept of the standard recursive least squares (RLS) algorithm is considered. The improved RLS algorithm is described and has been implemented using experimental data from an underwater acoustic communication system. Results obtained show that the improved RLS algorithm has faster convergence and improved tracking performance than both the standard RLS and least mean squares (LMS) algorithms.

关键词： least squares approximations underwater acoustic communication Acoustic and other telecommunication systems and equipment time-varying channels Interpolation and function approximation (numerical analysis) time-variant underwater acoustic communication Signal processing and detection acoustic signal processing recursive least squares algorithm

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Mobile positioning using improved least squares algorithm in cellular systems

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IEICE TRANSACTIONS ON COMMUNICATIONS 2001年第1期E84B卷 138-140页

作者： Kim, HY Yoon, WS Kim, DJ Kim, YH Ajou Univ Dept Elect Engn Paldal Gu Suwon 441749 South Korea Chonnam Natl Univ Dept Elect Engn Kwangju South Korea Soongsil Univ Dept Informat & Commun Engn Seoul South Korea

In this paper we propose a mobile positioning method based on a recursive least squares (RLS) algorithm for suppressing the non-line of sight (NLOS) effects in cellular systems. The proposed method finds the position of a,nobile station from TOAs measured by three BSs. Simulation results show that the proposed method has a fast convergence time and greatly reduces the positioning error especially in NLOS situations. Thus it is expected that the proposed method can be effectively used in a dense urban environment.

关键词： mobile positioning recursive least squares algorithm

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Hierarchical fractional-order Hammerstein system identification

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INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2021年第12期52卷 2505-2517页

作者： Marzougui, Soumaya Atitallah, Asma Bedoui, Saida Abderrahim, Kamel Univ Gabes Natl Engn Sch Gabes Res Lab Numer Control Ind Proc Gabes Tunisia

For the fractional-order Hammerstein system with white noise, the difficulty of identification is that the parameters of the linear and the nonlinear blocks and the fractional order are unknown and the intermediate variable and the states are unmeasurable. To overcome this difficulty, we transform the system from an input nonlinear pseudo-state-space system to an input-output representation and we develop an algorithm based on the recursive least squares, the Levenberg-Marquardt and the Auxiliary Model Principle. The convergence of the identified parameters is studied. The performance of the proposed algorithm are tested by two numerical examples.

关键词： Fractional-order Hammerstein system identification state estimation Levenberg– Marquardt algorithm recursive least squares algorithm auxiliary model principle

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