2017
DOI: 10.1016/j.automatica.2017.01.007
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A fixed-time output feedback control scheme for double integrator systems

Abstract: A continuous output feedback control scheme rendering the closed-loop double integrator system globally stable in finite-time is presented. In particular, the convergence time is independent of initial conditions. The bi-limit homogeneous technique is used for controller and observer designs with fixed-time convergence. Then, a continuous output feedback control law is proposed for nominal double-integrator system and its perturbed version. The homogeneity and Lyapunov techniques are used to ensure the fixed-t… Show more

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Cited by 320 publications
(166 citation statements)
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“…Naturally, the ISM could guarantee the system robustness in the whole control process. The ISM is a combination of nominal control and discontinuous control, while the former decides the desired performance of the nominal system and the latter is applied to reject the disturbance and model uncertainty . The active FTC design based on ISM control strategy was proposed by Chen et al for a class of uncertain nonlinear systems, which can guarantee the rapid response and ease of implementation.…”
Section: Introductionmentioning
confidence: 99%
“…Naturally, the ISM could guarantee the system robustness in the whole control process. The ISM is a combination of nominal control and discontinuous control, while the former decides the desired performance of the nominal system and the latter is applied to reject the disturbance and model uncertainty . The active FTC design based on ISM control strategy was proposed by Chen et al for a class of uncertain nonlinear systems, which can guarantee the rapid response and ease of implementation.…”
Section: Introductionmentioning
confidence: 99%
“…All the preceding fault‐tolerant attitude control schemes yield only asymptotic convergence for the closed‐loop system. Generally, the closed‐loop systems under finite‐time stability demonstrate the faster convergence and better disturbance rejection . It is widely known that SMC is a representative technology in the field of finite‐time convergence theory .…”
Section: Introductionmentioning
confidence: 99%
“…In practice, the external disturbance and model uncertainty, the rudder assignment, the intervehicle collision avoidance must be considered for UAV helicopters at the same time. Compared with the asymptotic control approach, finite‐time control is a more effective approach with better performance and robustness to uncertainty and for disturbance rejection …”
Section: Introductionmentioning
confidence: 99%