Adaptive State-Quantized Control of Uncertain Lower-Triangular Nonlinear Systems with Input Delayopen access
- Authors
- Yoo, Sung Jin
- Issue Date
- Apr-2021
- Publisher
- MDPI
- Keywords
- state-quantized control; neural network; input delay; uncertain triangular nonlinear systems
- Citation
- MATHEMATICS, v.9, no.7
- Journal Title
- MATHEMATICS
- Volume
- 9
- Number
- 7
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/47709
- DOI
- 10.3390/math9070763
- ISSN
- 2227-7390
2227-7390
- Abstract
- In this paper, we investigate the adaptive state-quantized control problem of uncertain lower-triangular systems with input delay. It is assumed that all state variables are quantized for the feedback control design. The error transformation method using an auxiliary time-varying signal is presented to deal with the compensation problem of input delay. Based on the error surfaces with the auxiliary variable, a neural-network-based adaptive state-quantized control scheme is constructed with the design of the input delay compensator. Different from existing results in the literature, the proposed method exhibits the following features: (i) compensating for the input delay effect by using quantized states; and (ii) establishing the stability of the adaptive quantized feedback control system in the presence of input delay. Furthermore, the boundedness of all the signals in the closed-loop and the convergence of the tracking error are analyzed. The effectiveness of the developed control strategy is demonstrated through the simulation on a hydraulic servo system.
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