Title :
Assignment of Complete Structural Properties of Linear Systems via Sensor Selection
Author :
Liu, Xinmin ; Lin, Zongli ; Chen, Ben M.
Author_Institution :
Charles L. Brown Dept. of Electr. & Comput. Eng., Univ. of Virginia, Charlottesville, VA, USA
Abstract :
For x =Ax + Bu , the problem of structural assignment via sensor selection is to find an output equation, y = Cx + Du , such that the resulting system (A, B, C, D) has the pre-specified structural properties, such as the finite and infinite zero structures as well as the invertibility properties. In this paper, we establish a set of necessary and sufficient conditions under which a complete set of system structural properties can be assigned, and an explicit algorithm for constructing the required matrix pair (C, D).
Keywords :
linear systems; sensors; complete structural properties; infinite zero structures; invertibility properties; linear systems; sensor selection; Actuators; Control systems; Couplings; Equations; Helium; Linear systems; Sensor phenomena and characterization; Sensor systems; Sufficient conditions; Wireless sensor networks; Actuator selection; Kronecker invariants; finite zeros; infinite zeros; linear systems; sensor selection; structural assignment;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2026930