Title :
Spectral radius bounds for positive matrices with applications to networked control systems over fading channels
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
Upper and lower bounds for spectral radius of positive matrices are derived, and are shown to be tight. These bounds are characterized by the determinant and trace of some related matrix, and they find applications in networked control systems (NCS) over fading channels. Results are obtained for the relation between mean-square (MS) stabilization and standard ℋ2 optimal control, and for the MS stabilizability condition under state feedback control. An encoding and decoding matrix pair is introduced to help design the state feedback controllers, when the MS stabilizability condition holds true.
Keywords :
H2 control; control system synthesis; least mean squares methods; networked control systems; optimal control; stability; state feedback; MS stabilizability condition; NCS; encoding-decoding matrix pair; fading channels; mean-square stabilization; networked control systems; positive matrices; spectral radius bounds; standard H2 optimal control; state feedback control; state feedback controller design; Fading; Linear matrix inequalities; Random processes; Signal to noise ratio; Stability analysis; State feedback; Vectors;
Conference_Titel :
Control & Automation (ICCA), 11th IEEE International Conference on
Conference_Location :
Taichung
DOI :
10.1109/ICCA.2014.6871035