Stability of multiloop LQ regulators with nonlinearities--Part II: Regions of ultimate boundedness
Author :
Joshi, S.M.
Author_Institution :
NASA Langley Research Center, Hampton, VA, USA
Volume :
31
Issue :
4
fYear :
1986
fDate :
4/1/1986 12:00:00 AM
Firstpage :
367
Lastpage :
370
Abstract :
This note investigates the closed-loop stability of linear time-invariant systems controlled by linear quadratic (LQ) regulators when there are nonlinearities in the loops which escape the ( ) stability sector in a bounded region containing the origin. An estimate of the region of ultimate boundedness is obtained, which provides methods for selecting the performance function weights to get better regulator designs.
Keywords :
Nonlinearities; Stability, linear systems; Actuators; Control nonlinearities; Control systems; Hysteresis; Linear systems; Optimal control; Regulators; Riccati equations; Stability; Symmetric matrices;