Models for Robust Estimation and Identification
نویسندگان
چکیده
In this paper, estimation and identification theories will be examined with the goal of determining some new methods of adding robustness. The focus will be upon uncertain estimation problems, namely ones in which the uncertainty multiplies the quantities to be estimated. Mathematically the problem can be stated as, for system matrices and data matrices that lie in the sets (A + δA) and (b + δb) respectively, find the value of x that minimizes the cost ‖(A+ δA)x− (b+ δb)‖. The proposed techniques are compared with currently used methods such as Least Squares (LS), Total Least Squares (TLS), and Tikhonov Regularization (TR). Several results are presented and some future directions are suggested.
منابع مشابه
Robust Identification of Smart Foam Using Set Mem-bership Estimation in A Model Error Modeling Frame-work
The aim of this paper is robust identification of smart foam, as an electroacoustic transducer, considering unmodeled dynamics due to nonlinearities in behaviour at low frequencies and measurement noise at high frequencies as existent uncertainties. Set membership estimation combined with model error modelling technique is used where the approach is based on worst case scenario with unknown but...
متن کاملA Robust Adaptive Observer-Based Time Varying Fault Estimation
This paper presents a new observer design methodology for a time varying actuator fault estimation. A new linear matrix inequality (LMI) design algorithm is developed to tackle the limitations (e.g. equality constraint and robustness problems) of the well known so called fast adaptive fault estimation observer (FAFE). The FAFE is capable of estimating a wide range of time-varying actuator fault...
متن کاملRobust Estimation in Linear Regression with Molticollinearity and Sparse Models
One of the factors affecting the statistical analysis of the data is the presence of outliers. The methods which are not affected by the outliers are called robust methods. Robust regression methods are robust estimation methods of regression model parameters in the presence of outliers. Besides outliers, the linear dependency of regressor variables, which is called multicollinearity...
متن کاملRobust Controller Design Based-on Aerodynamic Load Simulator Identification Driven by PMSM for Hardware-in-the-Loop Simulations
Aerodynamic load simulators generate the required time varying load to test the actuator’s performance in the laboratory. Electric Load Simulator (ELS) as one of variety of the dynamic load simulators should follows the rotation of the Under Test Actuator (UTA) and applies the desired torque to UTA’s rotor at the same time. In such a situation, a very large torque is imposed to the ELS from the...
متن کاملCase Mix Planning using The Technique for Order of Preference by Similarity to Ideal Solution and Robust Estimation: a Case Study
Management of surgery units and operating room (OR) play key roles in optimizing the utilization of hospitals. On this line Case Mix Planning (CMP) is normally applied to long term planning of OR. This refers to allocating OR time to each patient’s group. In this paper a mathematical model is applied to optimize the allocation of OR time among surgical groups. In addition, another technique is ...
متن کاملSimultaneous robust estimation of multi-response surfaces in the presence of outliers
A robust approach should be considered when estimating regression coefficients in multi-response problems. Many models are derived from the least squares method. Because the presence of outlier data is unavoidable in most real cases and because the least squares method is sensitive to these types of points, robust regression approaches appear to be a more reliable and suitable method for addres...
متن کامل