Stability robustness in closed loop vibrational control

P. T. Kabamba, S. M. Meerkov, E.-K. Poh
1998 International Journal of Robust and Nonlinear Control  
In this paper, we consider the robust stability analysis and synthesis problems for closed-loop vibrational control. In the analysis problem, we derive an upper bound on the allowable unstructured uncertainty which preserves the stability of a closed-loop vibrationally stabilized system. In the synthesis problem, we establish a necessary and sufficient condition for the existence of a single vibrational controller that stabilizes a polytope of plants. 1998 John Wiley & Sons, Ltd.
doi:10.1002/(sici)1099-1239(1998100)8:12<1101::aid-rnc374>3.0.co;2-n fatcat:na7x347h7jfqdadzgejdtpi4sm