Title :
Minimal state measurements for regional pole placement
Author :
Datta, Soupayan ; Chakraborty, Debasis
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol. Bombay, Mumbai, India
Abstract :
The problem of minimizing the number of state measurements (and hence the number of sensors) required for placing the poles of a linear time invariant single input system with state feedback, is considered. It is assumed that only a subset of the closed loop poles are required to be placed in pre-specified locations in the complex plane. The remaining poles can assume any locations inside a pre-defined region in the complex plane. The resulting binary program with polynomial constraints is convexified using the theory of moments. Numerical examples illustrate the theory developed.
Keywords :
T invariance; closed loop systems; polynomials; sensors; state feedback; binary program; closed loop poles; complex plane; linear time invariant single input system; minimal state measurements; polynomial constraints; regional pole placement; state feedback; Eigenvalues and eigenfunctions; Gain measurement; Optimization; Polynomials; Sensors; State feedback; Vectors;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580193