Title :
Order reduction of 2-D discrete systems via bounded real balancing
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
A novel order-reduction method for 2-D discrete systems based on bounded real (BR) balancing is presented. The concept of BR balancing was first introduced to reduce the order of 1-D continuous-time systems. It is shown that if the 2-D discrete system considered satisfies the 2-D Lyapunov condition, the BR balanced approximation then yields a stable low-order 2-D system with a reasonably small approximation error
Keywords :
Lyapunov methods; discrete systems; stability; 2D discrete systems; Lyapunov condition; bounded real balancing; order-reduction; Approximation error; Approximation methods; Councils; Eigenvalues and eigenfunctions; Phasor measurement units; Riccati equations; Stability; Transfer functions; Two dimensional displays;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194503
