2021
DOI: 10.1002/acs.3316
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Discrete‐time modified repetitive sliding mode control for uncertain linear systems

Abstract: Summary This article presents a design strategy and stability analysis of modified repetitive sliding mode controller for uncertain linear systems. A modified repetitive controller is adopted to simultaneously track and reject periodic signals. A discrete‐time sliding mode controller is combined to compensate the slow response of repetitive control and to provide robustness against plant parameters uncertainties. Stability analysis is provided to prove boundedness of the proposed control law and the convergenc… Show more

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Cited by 12 publications
(5 citation statements)
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“…The not optimal result would be achieved, but the worst outcome would be treated by excessive weighting. The control inputs in equation (12), for example in 0° point, should be observed further to analyze the cause of overshoot and unstable plant.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The not optimal result would be achieved, but the worst outcome would be treated by excessive weighting. The control inputs in equation (12), for example in 0° point, should be observed further to analyze the cause of overshoot and unstable plant.…”
Section: Resultsmentioning
confidence: 99%
“…The application of the H-infinity optimal control [3] approach was analyzed to solve highorder unmodeled dynamics on a helicopter. Sliding Mode Control [11] was simulated and studied for a laboratory helicopter of 3 DOF [12]. Robust LQR attitude control [13], [14] was built for aggressive maneuvers on 3 DOF helicopters, both theory and experiment [15].…”
Section: Introductionmentioning
confidence: 99%
“…Theorem 1. Considering the uncertain nonlinear systems (1), if recursive terminal sliding mode surface is designed as ( 5), (7), and control law is chosen as (13), the tracking error will converge to zero in a finite time.…”
Section: Assumptionmentioning
confidence: 99%
“…Therefore, it is necessary to study the robust control system of uncertain nonlinear systems. To facilitate such challenges, numerous researchers have made great efforts to find appropriate robust controllers for improving control performance, such as sliding mode control (SMC), 1,2 fuzzy control, 3 adaptive control, 4 back-stepping control 5 and so forth.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, many researchers have also made attempts to study this aspect. Kurniawan proposed an improved design strategy for repetitive sliding mode controllers, which can be used for heading control to accurately track reference signals [14]; Mashhad designed H ∞ using the linearized autonomous underwater vehicle (AUV) model Robust controller and simulation to verify its effectiveness for AUV heading control [15]; and Zhang Q. et al proposed a nonlinear fuzzy control algorithm for ship heading keeping based on feedback linearization using the approximation ability of the fuzzy system constructed by radial basis function neural networks [16]. The above research is only limited to the study of heading control algorithms.…”
Section: Introductionmentioning
confidence: 99%