Model Order Reduction of Time Interval System: A Survey

The Complexity of higher order linear systems are large and order of matrices are higher. Matrices of higher order are difficult to deal with. The main objectives of order reduction is to design a controller of lower order which can effectively control the original high order system so that the overall system is of lower order and easy to understand. Analysis and design of reduced order model becomes simpler and economic. Parametric uncertainties exist in practical systems for entire range of the operating conditions. To overcome this, time interval system is employed. This paper presents a survey on design of reduced order model for large scale time interval systems.

[1]  Devender Kumar Saini,et al.  Order Reduction of Linear Interval Systems Using Genetic Algorithm , 2010 .

[2]  B. Bandyopadhyay,et al.  γ-δ Routh approximation for interval systems , 1997, IEEE Trans. Autom. Control..

[3]  E. Hansen,et al.  Interval Arithmetic in Matrix Computations, Part II , 1965 .

[4]  Y. Choo.  A Note on Discrete Interval System Reduction via Retention of Dominant Poles , 2007 .

[5]  S. K. Nagar,et al.  A New Algorithm for Model Order Reduction of Interval Systems , 2013 .

[6]  Victor Sreeram,et al.  Stable Gamma-Delta Routh Approximation of Interval Systems using Kharitonov Polynomials , 2008 .

[7]  J. Amarnath,et al.  A mixed method for order reduction of interval systems , 2007, 2007 International Conference on Intelligent and Advanced Systems.

[8]  Shankar P. Bhattacharyya,et al.  Robust Stabilization Against Structured Perturbations , 1987 .

[9]  Ezra Zeheb,et al.  On Routh-Pade model reduction of interval systems , 2003, IEEE Trans. Autom. Control..

[10]  Vinay Pratap Singh,et al.  Routh-approximation based model reduction using series expansion of interval systems , 2010, 2010 International Conference on Power, Control and Embedded Systems.

[11]  Babu Thirumalai,et al.  Design of Robust PID Controller Using Hybrid Algorithm for Reduced Order Interval System , 2012 .

[12]  ASYMPTOTIC STABILITY OF AN EQUILIBRIUM P . OSITION OF A FAMILY OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS , 2022 .

[13]  Robert C. Spicer,et al.  Author's biography , 1993 .

[14]  E. Hansen.  Interval Arithmetic in Matrix Computations, Part I , 1965 .

[15]  Chyi Hwang,et al.  Comments on the computation of interval Routh approximants , 1999, IEEE Trans. Autom. Control..

[16]  R. Gorez,et al.  Routh-Pade approximation for interval systems , 1994, IEEE Trans. Autom. Control..

[17]  G. Sastry,et al.  Large scale interval system modelling using Routh approximants , 2000 .

[18]  Vinay Pratap Singh,et al.  Model reduction of discrete interval system using dominant poles retention and direct series expansion method , 2011, 2011 5th International Power Engineering and Optimization Conference.

[19]  Yuri Dolgin,et al.  Author's reply [to comments on 'On Routh-Pade model reduction of interval systems'] , 2005, IEEE Trans. Autom. Control..

[20]  B. Bandyopadhyay,et al.  γ-δ Routh approximation for interval systems , 1997, IEEE Trans. Autom. Control..

[21]  Shyam Krishna Nagar,et al.  Model Order Reduction of Interval Systems using Mihailov Criterion and Factor Division Method , 2011 .

[22]  P. Gutman,et al.  Contributions to the model reduction problem , 1982 .

[23]  Kranthi Kumar Deveerasetty,et al.  Model Order Reduction of Interval Systems Using Mihailov Criterion and Cauer Second Form , 2011 .

[24]  R. Prasad,et al.  Order Reduction of Linear Interval Systems Using Particle Swarm Optimization Devender , 2011 .

[25]  R. Gupta,et al.  Design of Decentralized PSSs for Multimachine Power System via Reduced Order Model , 2012, 2012 Fourth International Conference on Computational Intelligence and Communication Networks.

[26]  Osman Ismail,et al.  Model reduction of linear interval systems using Pade approximation , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[27]  Amitabh Sagar,et al.  Author's reply , 1991, Journal of neurosciences in rural practice.