Title :
On the radius of parity interlacing property of plant family with parameter uncertainty
Author_Institution :
Dept. of Autom. Control, Beijing Inst. of Technol., China
Abstract :
The robust stabilization problem (RSP) associated with a plant family 𝒫(s,δ_) having a parameter uncertainty δ_ is considered. An apparent necessary solvability condition is that every element in 𝒫(s,δ_) is stabilizable. It is shown that this RSP is equivalent to a strong stabilization problem associated with a related plant family 𝒢(s,δ_), and 𝒫(s,δ_) is stabilizable if and only if 𝒢(s,δ_) is as well. Another necessary solvability condition is established in terms of the parity interlacing property of each element in 𝒢(s,δ_) from the viewpoint of strong stabilization. The concept of the radius of the parity interlacing property is introduced. Some computational aspects of this radius are discussed
Keywords :
computability; parity; robust control; uncertain systems; computational aspects; necessary solvability condition; parameter uncertainty; parity interlacing property radius; plant families; robust stabilization problem; stabilizable elements; strong stabilization problem; Control systems; Polynomials; Robust control; Robustness; Uncertain systems; Uncertainty; Vectors;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831263
