Title :
Pole assignment for three-dimensional systems using two-dimensional dynamic compensators
Author :
Kawakami, Atsushi
Author_Institution :
Dept. of Electron., Kanazawa Inst. of Technol., Ishikawa, Japan
Abstract :
In this paper, we study the pole assignment problem for 3D systems. We transform the denominator of transfer functions of the closed-loop system into the product of three stable 1D polynomials, by performing 2D dynamical feedback and input transformation on the given 3D systems. Next, we consider the possibility that these 2D dynamic compensators are realizable thoroughly, and propose the counter-measure in a case that they are not realizable. We also obtain the conditions so that the closed-loop 3D systems are stable. Moreover, we calculate the dynamical dimension which is necessary for the pole assignment, and suggest a pole assignment method with the lowest dynamical dimension
Keywords :
closed loop systems; feedback; multidimensional systems; pole assignment; polynomial matrices; transfer functions; 1D polynomials; 2D dynamic compensators; 2D dynamical feedback; 3D systems; closed-loop system; dynamical dimension; pole assignment; transfer functions; Digital signal processing; High performance computing; Polynomials; State feedback; Transfer functions;
Conference_Titel :
Systems, Man, and Cybernetics, 1994. Humans, Information and Technology., 1994 IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-2129-4
DOI :
10.1109/ICSMC.1994.400305
