Recursive gain controller for strict feedback systems

Salhi, Boualem; Benfdila, A.

doi:10.1080/00207179.2021.2009577

Cited by 1 publication

(3 citation statements)

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“…The control law capable of achieving the desired control performances and asymptotic tracking is found in this subsection using the recursive gain scheme in conjunction with the adaptive technique. Combining the ideas presented in earlier studies [19,20], the proposed control procedure is developed in the following steps:…”

Section: Recursive Gain Asymptotic Tracking Control Designmentioning

confidence: 99%

“…Recursive gain control (RGC) scheme [19] has recently been proposed as a solution to the "explosion of terms" issue and the challenge of choosing the suitable filter time constants in real-time applications. Within a ball of arbitrarily selected radii, this technique can drive all closed-loop signals to zero.…”

Section: Introductionmentioning

confidence: 99%

“…Even if the RGC method can drive all closed-loop signals within a ball of radius that can be made as small as desired, it cannot ensure asymptotic tracking. The objective of this study is to design a nonlinear feedback stabilizing controller by combining a RGC scheme [19] with an adaptive technique [20], while simultaneously overcoming the "explosion of terms" problem and achieving asymptotic tracking. The main innovations and contributions made in this paper are motivated by the preceding discussions.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear recursive gain asymptotic tracking controller design for hydraulic turbine regulating systems

Kanchanaharuthai

2023

Asian Journal of Control

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This paper focuses on the nonlinear asymptotic tracking control for a hydraulic turbine regulating system (HTRS). The proposed control approach combines a recursive gain control scheme with an adaptive technique to achieve asymptotic tracking. An important characteristic feature of the proposed controller is the incorporation of a smooth function with a time‐varying function that is integrable and positive. This function provides the developed controller with sufficient power to achieve asymptotic tracking, whereas the recursive gain control alone can ensure that tracking errors converge exponentially to zero within balls of any arbitrarily small radii. The simulation results demonstrate the efficacy of the presented control technique, which outperforms backstepping, command‐filtered backstepping, dynamic surface, synergetic control designs; deals with the “explosion of complexity” problem; and simultaneously achieves asymptotic tracking. Furthermore, even though the HTRS parameters vary, the proposed technique is capable of providing consistent control performance. As a result, the presented controller is unaffected by changes in the system's parameters.

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Section: Recursive Gain Asymptotic Tracking Control Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%