Delay-dependent Robust Stabilization for Systems with Time-varying Delays

作者：Ko Jeong Wan; Park Poo Gyeon^*

来源：International Journal of Control Automation and Systems, 2009, 7(5): 711-722.

DOI：10.1007/s12555-009-0503-2

• Delayed systems
• output-feedback
• stabilization
• state-feedback
• uncertainty

This paper extends the results of the stability criterion, introduced in the literature, to the problem of stabilization for systems with time-varying delays. Unfortunately, the delay-dependent stabilization conditions using state/output-feed back controllers are not formulated as LMIs. To achieve a better degree of freedom in relaxing the resultant nonlinear terms, we do not assume any restriction on the form of variables, which is a generally adopted procedure in the structure-imposing relaxation methods. Instead, we develop a congruence transformation that has the effect of gathering the dispersed nonlinear terms and bundling them together into fewer and more intensive non-convex conditions. To relax these, an efficient iterative algorithm is proposed in the form of two-phase-based convex optimization problem. Numerical examples show that the results obtained by these criteria improve the allowable maximal delays over the existing results in the literature.

• 出版日期2009-10