LMI-Based Stubborn and Dead-Zone Redesign in Linear Dynamic Output Feedback

Abstract

The redesign of output feedback controllers for linear systems based on adaptive saturation (stubborn) and dead-zone redesign is investigated by showing that input-to-state stability holds in closed loop upon the satisfaction of linear matrix inequalities. Such results are obtained by using sector conditions that are involved in the Lyapunov analysis in order to ensure input-to-state stability. A simulation case study shows the effectiveness of the proposed redesign in denoising and outlier attenuation with increased accuracy and precision.

An LMI-Based Control Strategy for Large-Scale Systems With Applications to Interconnected Microgrid Clusters

“…One of the main advantages of this approach stems from the fact that it can handle structural constraints on the gain matrix, as well as uncertain nonlinearities in the system. As a result, it can be used to produce decentralized control laws [6], [7], [8], [9], [10], [11], output feedback [12], [13], [14], [15], [16], and even gain matrices with arbitrary nonzero patterns [17]. This inherent versatility of LMI-based design explains why it remains an attractive option for solving control-related problems, and finds applications in diverse fields ranging from multiagent systems [18], [19], [20], [21] and aerospace engineering [22], [23], [24] to electric power systems [25], [26], [27], [28], [29], [30], [31], [32].…”