Transformation of continuous-time model of a linear multivariable system from its discrete-time model

The problem of identification of the state-space model of a multivariable continuous system from the samples of its input-output data is considered. Hence, a method is suggested for determining the continuous-time model of a system from its discrete-time model obtained from the samples of its input-output data.     

Algorithm for the identification of continuous-time multivariable systems from their discrete-time models

A computationally efficient algorithm is given for estimating the state-space model of a continuous-time multivariable system from data obtained with a discrete-time model.     

Extended power method and stability of linear discrete-time systems

A computationally simple and efficient method is proposed to determine the stability of linear discrete-time systems. The method directly utilises the system (state-transition) matrix and avoids the evaluation of the characteristic polynomial. Another interesting feature of this approach is that it can be extended to extract the eigenvalues of matrices, in a recursive fashion.     

Robust Identification from Impulse and Step Responses

A robust identification method that is insensitive to anomalous data is presented to estimate system models from the samples of their impulse and step responses. The power and usefulness of the proposed approach is illustrated with the help of simulated and real-life examples.     

Identification of Continuous-Time Systems Using Instrumental Variables with Application to an Industrial Robot

A new method of constructing instrumental variables for identification is introduced. Its usefulness in the identification of continuous-time systems is investigated. The technique is then applied for modeling the arm of an industrial robot used for welding purposes. Results showed that the proposed method of using instrumental variables is computationally simple and at the same time gives better performance in the presence of measurement noise as compared to existing methods.     

Stability of linear discrete-time systems

A computationally efficient and simple method is suggested for determining the stability of digital systems. The new method is then compared with other existing methods.     

Iterative method for obtaining the argument of the dominant complex pole-pair

A simple and efficient method is presented for obtaining the argument of the dominant complex pole-pair of a discrete-time system. This new method can be directly applied to either the system characteristic polynomial or the state transition matrix, whichever is available. Moreover, it can easily be extended to extract the values of the arguments of all complex pole-pairs of the system under consideration.