Proximate Time-Optimal Control of a Harmonic Oscillator

Braker, Roger A.; Pao, Lucy Y.

doi:10.1109/tac.2017.2759059

Cited by 6 publications

(1 citation statement)

References 30 publications

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“…Obviously, system 1 represents a large class of nonlinear uncertain saturated second-order systems. When p = 1, system 1 is actually a perturbed double integrator subject to actuator saturation, which exploits the main dynamics of many practical systems [1][2][3][4][5]. We will focus our concern on the finite-time stabilization of system 1, due to it may give faster transient and higher steady-state positioning [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Global finite‐time stabilization of a class of perturbed planar systems with actuator saturation and disturbances

Zheng

Mercorelli

2021

Asian Journal of Control

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This paper addresses the problem of global finite‐time stabilization for a class of planar nonlinear systems subject to actuator saturation and bounded disturbances. A singularity‐free integral sliding mode surface is first developed by geometric homogeneity technique and then a simple saturated robust control is proposed. Global finite‐time stabilization is proved with geometric homogeneity technique and Lyapunov's stability theory. The conditions on control gains ensuring global finite‐time stability and avoidance of actuator saturation are explicitly given. Advantages of the proposed control include simple and intuitive structure, global finite‐time stability featuring faster transient and higher steady‐state stabilization, and the ability to avoid actuator saturation by selecting the control gains a priori. Simulations show the improved performance of the proposed approach.

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