Observer‐based non‐linear H _∞ attitude control for a flexible satellite

A Sum of Squares-Based Approach to Robust Nonlinear Mixed H2/H∞ Output-Feedback Control for a Class of Uncertain Polynomial Systems

“…In nonlinear case, these two notations are strictly not precise, as they should be called as "guaranteed cost" and L 2 -gain, respectively. In this paper, we refer to the proposed problem as H 2 /H ∞ control problem, as it is the common practice in the literature nowadays [13][14][15][16][17][18][25][26][27]. erefore, for the sake of rigor, a note is made herein.…”

“…In practice, we often encounter some control systems, such as the attitude dynamic system of flexible spacecraft [17,18], the nonlinear mass-spring-damper system [14], and the Rossler chaotic systems [19]. All those nonlinear systems have some features in common, that is, their mathematical models can be formulated as the form of linear-like state-space equations and the resulting coefficient matrices are only related to partial states which are available.…”

Finite‐time disturbance observer based integral sliding mode control for attitude stabilisation under actuator failure

“…And much attention has been paid by academic and industrial communities to their development, to ensure that the expected control system performance indices are achieved. Many control methods have been applied to achieve the attitude control missions, such as feedback control, non‐linear control, optimal control, adaptive control, sliding mode control, robust control, and their integrations [1–7]. However, it may result in unsatisfactory performance even instability when unexpected malfunctions or catastrophic failures occur in actuating mechanisms.…”