The Generalized H_∞-Norm in the Analysis and Design of Robust Control Systems

摘要

The role in the analysis and design of robust control systems is demonstrated for the generalized H_∞-norm of a system, which characterizes the joint effect of the exogenous and initial disturbances on the objective output of a linear stationary system in the worst case. The obtained Nyquist's modified criterion and the small-gain theorem are capable of assessing the stability and quality of the processes in uncertain systems under an exogenous disturbance and unknown initial conditions; and they also enable one to design a robust generalized H_∞-optimal control.