Data-based stabilization of unknown bilinear systems with guaranteed basin of attraction

A New Data-Driven Control System for MEMSs Gyroscopes: Dynamics Estimation by Type-3 Fuzzy Systems

“…in which R = CP and E n[0,τ k ] R = P are utilized. From (45), ∆V(k) < 0 results in e n T (k)Ωe n (k) < 0, where…”

“…Data-driven control and fault estimation of unknown systems has been studied in [44]. Moreover, a data-based feedback controller with a guaranteed attraction has been considered to analyze the stabilization of bilinear systems [45].…”

Data-Driven Nearly Optimal Control for Constrained Nonlinear Systems

“…The direct data-driven approach has been particularly fruitful for linear systems, where tools from behavioral theory [4] have allowed to express the system trajectories in terms of sufficiently-rich data. This has resulted in the synthesis of feedback stabilizing controllers [5], [6], optimal control laws [7]- [9], predictive controllers [10], [11], network controllers [11], [12], control experiment design [13], optimization-based controllers [14], and recent extensions to nonlinear systems [15], [16]. Here we focus on direct data-driven control of bilinear systems as a building block for future work on more complex nonlinear systems.…”

A geometric framework for constraints and data: from linear systems to convex processes

“…The first results building on Willems' lemma were developed in a behavioral context by Markovsky and Rapisarda [111,112]. More recently, the work was brought into the context of state space systems in for instance [15,23,30,42,72,83,118]. Also data-driven analysis has benefited from the development of the fundamental lemma.…”