| 1. |
- Cui, Shaohua, et al.
(författare)
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Temporal Finite-Time Adaptation in Controlling Quantized Nonlinear Systems Amidst Time-Varying Output Constraints
- 2024
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Ingår i: IEEE Transactions on Automation Science and Engineering. - 1558-3783 .- 1545-5955. ; In Press
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Tidskriftsartikel (refereegranskat)abstract
- Using the backstepping technique, this paper formulates innovative adaptive finite-time stabilizing controllers for uncertain nonlinear systems featuring nonuniform input quantization and asymmetric, time-varying output constraints. These novel controllers leverage the consistent characteristics of both hysteresis quantizers and logarithmic quantizers. Quantization errors, when consistent, become unbounded and contingent on control input, rendering them incompatible with the growth conditions of nonlinear systems. Consequently, the developed adaptive controllers eliminate the reliance on growth conditions, effectively addressing the impact of unbounded quantization errors on finite-time stability. This adaptability allows the controllers to function effectively with systems employing either hysteresis quantizers or logarithmic quantizers. The paper establishes the convergence of these controllers through the finite-time Lyapunov stability theorem. It also provides a comprehensive guideline for tuning settling time, enabling fine-grained control over finite-time convergence and adjustable tracking error performance. Additionally, the controllers rigorously maintain system output within predefined limits. Their effectiveness and low computational burden are demonstrated through three comparative numerical simulations and a practical simulation in collision-free trajectory tracking control of an autonomous vehicle platoon using the vehicle motion software CarSim. These simulations confirm the advanced performance of the adaptive controllers. Note to Practitioners—This paper introduces an innovative approach to control uncertain nonlinear systems encountering intricate input quantization and output constraints. Employing the sophisticated backstepping technique, the authors present adaptive finite-time-stabilizing controllers engineered to address nonuniform input quantization and asymmetric, time-varying output restrictions. What distinguishes these controllers is their reliance on the consistent behavior exhibited by hysteresis and logarithmic quantizers. This unique feature equips them to effectively counteract unbounded quantization errors influenced by control input. Most notably, these controllers eliminate the conventional growth conditions typically demanded by nonlinear systems. As a result, they extend their applicability to a broad spectrum of systems employing either hysteresis or logarithmic quantizers. The research also provides practitioners with a valuable guideline for precisely adjusting settling time. This enables the attainment of desired convergence rates while permitting adaptable tracking error performance. Additionally, these controllers guarantee that the system’s output adheres to predefined limits. The practical significance of this study is highlighted through three comparative numerical simulations and a real-world application simulation. This real-world simulation involves collision-free trajectory tracking control of an autonomous vehicle platoon, executed using the vehicle motion software CarSim. These simulations unequivocally demonstrate the effectiveness and low computational burden of the developed controllers, thereby establishing them as a valuable resource for practitioners facing complex control challenges in various domains.
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| 2. |
- Song, Qiang, et al.
(författare)
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Leader-following synchronization of coupled homogeneous and heterogeneous harmonic oscillators based on relative position measurements
- 2019
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Ingår i: IEEE Transactions on Control of Network Systems. - : IEEE. - 2325-5870. ; 6:1, s. 13-23
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Tidskriftsartikel (refereegranskat)abstract
- This paper considers the leader-following synchronization problem for a network of coupled harmonic oscillators by utilizing the relative position measurements between neighboring nodes, where the node dynamics can be either identical or nonidentical. For a homogeneous network with the same node dynamics, two types of first-order observer-based protocols are proposed to achieve leader-following synchronization in the network under some necessary and sufficient conditions, including some synchronization criteria for the homogeneous network subject to parameter uncertainty. For a heterogeneous network with different node dynamics, an output regulation approach is applied to solve the leader-following synchronization problem for the nominal network, based on which the robust synchronization of the uncertain network is investigated with an allowable bound being estimated for parameter uncertainties. Numerical examples are given to illustrate the correctness and the feasibility of the theoretical analysis.
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| 3. |
- Xia, Weiguo, et al.
(författare)
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Adaptive synchronization of a switching system and its applications to secure communications
- 2008
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Ingår i: Chaos. - : AIP Publishing. - 1054-1500 .- 1089-7682. ; 18:2
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Tidskriftsartikel (refereegranskat)abstract
- This paper studies the adaptive synchronization of a switching system with unknown parameters which switches between the Rössler system and a unified chaotic system. Using the Lyapunov stability theory and adaptive control method, the receiver system will achieve synchronization with the drive system and the unknown parameters would be estimated by the receiver. Then the proposed switching system is used for secure communications based on the communication schemes including chaotic masking, chaotic modulation, and chaotic shift key strategies. Since thesystem switches between two chaotic systems and the parameters are almost unknown, it is more difficult for the intruder to extract the useful message from the transmission channel. In addition, two new schemes in which the chaotic signal used to mask (or modulate) the transmitted signal switches between two components of a chaotic system are also presented. Finally, some simulation results are given to show the effectiveness of the proposed communication schemes.
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| 4. |
- Xia, Weiguo, et al.
(författare)
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Pinning synchronization of delayed dynamical networks via periodically intermittent control
- 2009
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Ingår i: Chaos. - : AIP Publishing. - 1054-1500 .- 1089-7682. ; 19:1
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Tidskriftsartikel (refereegranskat)abstract
- This paper investigates the synchronization problem for a class of complex delayed dynamical networks by pinning periodically intermittent control. Based on a general model of complex delayed dynamical networks, using the Lyapunov stability theory and periodically intermittent control method, some simple criteria are derived for the synchronization of such dynamical networks. Furthermore, a Barabási–Albert network consisting of coupled delayed Chua oscillators is finally given as an example to verify the effectiveness of the theoretical results.
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