Adaptive H-infinity tracking control for microgyroscope

Abstract

An adaptive H-infinity tracking control is proposed for a z-axis microgyroscope with system nonlinearities. All the signals can be guaranteed in a bounded range, and tracking error is uniformly ultimately bounded, an H-infinity tracking performance is also achieved to a prescribed level. Adaptive control methodology is integrated with H-infinity control technique to achieve robust adaptive control, and adaptive algorithm is used to estimate the unknown system parameters. Simulation studies for microgyroscope are conducted to prove the validity of the proposed control scheme with good performance and robustness.

Finite-Time Synchronization Between Two Different Chaotic Systems by Adaptive Sliding Mode Control

“…Furthermore, the unknown system parameters are estimated by using an adaptive law. The difference between our studies and [18,19,21], and [20] is that we apply the nonsingular fast terminal sliding mode control with an adaptive law technique to achieve finite-time synchronization between two different chaotic systems with unknown parameters and disturbances.…”

A novel output redefinition method for nonlinear H∞ attitude stabilization of a flexible spacecraft

“…Step 2. Consider control law (11). it's difficult to derive ν, ẑ1 , ẑ2 , and σO values analytically.…”

“…A flexible spacecraft body consists of a rigid hub and flexible appendages. In the literature, the spacecraft hub attitude angles are often selected as the attitude dynamic model's output [4,[6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. In this approach, the flexible appendages' vibration effect is considered as an unknown vibrational disturbance torque and the attitude controller should overcome, in addition to the model uncertainties and the environmental disturbances.…”

“…But it is difficult to apply, because it requires the solution of Hamilton–Jacobi–Isaacs (HJI) equality/inequality with mostly a non‐convex nature [4]. Therefore, the linear $$$ {H}_{\infty } $$$ attitude control is often proposed which is not robust against the dynamical higher order terms [11, 19]. A finite‐time nonlinear $$$ {H}_{\infty } $$$ control is proposed to control a flexible manipulator without requiring the solution of HJI equality/inequality [15].…”