Title :
H2 and H∞ control for infinite-dimensional systems with jumps
Author_Institution :
Dept. of Electr. & Electron. Eng., Shizuoka Univ., Hamamatsu, Japan
fDate :
3/1/2000 12:00:00 AM
Abstract :
We consider a semigroup model with jumps in the state that covers distributed parameter systems with impulse control or sampled-data distributed parameter systems with control realized through zero-order or first-order hold. We then introduce the H2 and H∞ problems for this system and give the solutions in terms of the solutions of Riccati equations with jumps
Keywords :
H∞ control; Riccati equations; distributed parameter systems; multidimensional systems; sampled data systems; H∞ control; H2 control; Riccati equations; distributed parameter systems; infinite-dimensional systems; jump systems; sampled-data systems; Control systems; Delay; Differential equations; Hilbert space; Riccati equations; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on