Stabilization of an uncertain multiple-oscillator system

关键词:  Stabilization · Uncertain multiple-oscillator systems · M-matrix principle

Key words:  Stabilization · Uncertain multiple-oscillator systems · M-matrix principle

摘要:

For a multiple-oscillator system that is subject to the uncertain gains ranging within compact sets, this paper presents a constructive stabilization design. Motivated by nested-saturation control methods, a nested controller that contains multiplicative coefficients is directly designed, and these coefficients are then determined in the stability analysis. By skillfully making transformations, elaborately constructing Lyapunov functions, and using an M-matrix principle, the stability analysis leads to the explicit inequality condition that is expressed by directly using the system parameters.

Abstract:

For a multiple-oscillator system that is subject to the uncertain gains ranging within compact sets, this paper presents a constructive stabilization design. Motivated by nested-saturation control methods, a nested controller that contains multiplicative coefficients is directly designed, and these coefficients are then determined in the stability analysis. By skillfully making transformations, elaborately constructing Lyapunov functions, and using an M-matrix principle, the stability analysis leads to the explicit inequality condition that is expressed by directly using the system parameters.