In recent years, simulation, design and control of systems with parametric uncertainties for the entire range of operation gained much importance. This paper presents a new method for reducing order of Large Scale Interval systems. The proposed method involves simple computations, and is efficient as it needs the formulation of only one Routh type tabulation, avoiding the necessity of formulating two tables viz., γ and δ tables, and avoids the computation of time moments of the original high order Interval system beforehand, unlike other available methods [1,2]. The proposed Simplified Routh Approximation method (SRAM) always generates stable reduced order Interval systems, retaining the initial time moments of the original high order system. The proposed simplified method is extended for the reduction of high order Multivariable and Discrete Interval systems to overcome the limitations and drawbacks of some of the existing methods [1,2] in literature. Typical numerical examples are considered to illustrate the flexibility and effectiveness of the proposed method.
[1]
L. Shieh,et al.
A mixed method for multivariable system reduction
,
1975
.
[2]
B. Bandyopadhyay,et al.
γ-δ Routh approximation for interval systems
,
1997,
IEEE Trans. Autom. Control..
[3]
B. Friedland,et al.
Routh approximations for reducing order of linear, time-invariant systems
,
1975
.
[4]
Y. Shamash.
Model reduction using the Routh stability criterion and the Padé approximation technique
,
1975
.
[5]
B. Barmish.
A Generalization of Kharitonov's Four Polynomial Concept for Robust Stability Problems with Linearly Dependent Coefficient Perturbations
,
1988,
1988 American Control Conference.
[6]
C. F. Chen,et al.
A novel approach to linear model simplification
,
1968
.
[7]
R. Gorez,et al.
Routh-Pade approximation for interval systems
,
1994,
IEEE Trans. Autom. Control..