Robust Stability Analysis of Sampled-Data Systems With Uncertainties Characterized by the ${\mathcal {L}}_\infty$-Induced Norm: Gridding Treatment With Convergence Rate Analysis

Robustness Analysis for Sundry Disturbed Open Loop Dynamics Using Robust Right Coprime Factorization

“…The various disturbed open loop dynamics taking the form of unknown external disturbances [5], periodic disturbances of unknown frequency [6], plant uncertainties and input disturbances [7], unknown distributed disturbances [8], aleatory uncertainty involving random noises [9], uncertainty with objectives and constraints in terms of dynamic coherent risk measures [10], uncertainties in both the regressor matrix and parameter vector [11], structured linear time-varying model uncertainty [12], uncertain inputs and bounded variation [13], model uncertainty [14], unknown-but-bounded noises [15], unmeasurable disturbances [16], and bounded measurement noises [17] have been investigated. Sliding mode control is a highly effective nonlinear control approach, since it remains invariant to disturbed open loop dynamics [18][19][20][21][22][23].…”