Zhang-Gradient Controllers of Z0G0, Z1G0 and Z1G1 Types for Output Tracking of Time-Varying Linear Systems with Control-Singularity Conquered Finally

Zhang, Yunong; Liu, Jinrong; Yin, Yilong; Luo, Fulin; Deng, Jianhao

doi:10.1007/978-3-642-39068-5_64

Cited by 15 publications

(2 citation statements)

References 7 publications

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“…So, by the GD method [6], [7], [13]- [15], we define a corresponding energy function ε(t) = h 2 (t)/2. Then, by the GD design formulau(t) = −γ∂ε/∂u with design parameter γ > 0 ∈ R used to scale the convergence rate of the GD solution, the innovative controller (i.e., a z2g1 controller) in the form ofu(t) for tracking control of nonlinear system (1)-(3) is designed aṡ…”

Section: Zg Controller For Time-varying θmentioning

confidence: 99%

ZG Control for Ship Course Tracking with Singularity Considered and Solved

Yin

Xie

Wang

et al. 2013

2013 IEEE 11th International Conference on Dependable, Autonomic and Secure Computing

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Zhang dynamics (ZD) and gradient dynamics (GD) are both effective methods for online problems solving. By combining ZD and GD methods, an innovative ZG (Zhanggradient) control method is thus proposed and investigated in this paper, which is applied to ship course tracking for the first time. Firstly, for a constant parameter setting, we design a ZD-based controller to solve the tracking-control problem of a ship course system with no singularity appearing. Then, for a time-varying parameter setting, the ZG method is applied generally to solve the singularity-containing tracking-control problem of such a system. Simulation results further demonstrate and verify the feasibility and superiority of the unified ZG method in fulfilling the tracking-control task while conquering the singularity problem for the ship course system.

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Section: Zg Controller For Time-varying θmentioning

confidence: 99%

ZG Control for Ship Course Tracking with Singularity Considered and Solved

Yin

Xie

Wang

et al. 2013

2013 IEEE 11th International Conference on Dependable, Autonomic and Secure Computing

Self Cite

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“…As a powerful dynamic method, the ZG method is mainly exploited to design ZG controllers for single input single output (SISO) systems [4]- [8]. In this paper, the ZG method is for the first time applied to design ZG controller groups (each group consists of two or more ZG controllers) for two-output tracking of the two-input Brockett integrator.…”

Section: Introductionmentioning

confidence: 99%

ZG controller groups for two-output tracking of two-input Brockett integrator

Wang

Kang

et al. 2014

Fifth International Conference on Intelligent Control and Information Processing

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As one of the most interesting nonlinear systems with nonholonomic constraint, Brockett integrator is researched widely at present in nonlinear control field. Zhang-gradient (ZG) method is a type of powerful method for real-time control problems solving. In this paper, the nonlinear system of twoinput Brockett integrator is investigated. By exploiting the ZG method, three types of ZG controller groups (specifically, two types of z1g0-z1g0 controller groups and one type of z1g0-z1g1 controller group) are designed for two-output tracking of Brockett integrator. Computer simulations are conducted to substantiate the feasibility and effectiveness of the two-input Brockett integrator equipped with the designed ZG controller groups for outputs tracking. The simulation results verify that the ZG controller in form ofu(t) can handle the division-byzero problem successfully. Besides, the relation between two output errors of ZG controller groups are analyzed. Finally, the effects of design parameters on ZG controller group are also investigated.The authors are with

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ZG Output Tracking of TVL System with DBZ Handled

Zhang

Qiu

2020

Zhang-Gradient Control

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Zhang-Gradient Controllers of Z0G0, Z1G0 and Z1G1 Types for Output Tracking of Time-Varying Linear Systems with Control-Singularity Conquered Finally

Cited by 15 publications

References 7 publications

ZG Control for Ship Course Tracking with Singularity Considered and Solved

ZG Control for Ship Course Tracking with Singularity Considered and Solved

ZG controller groups for two-output tracking of two-input Brockett integrator

ZG Output Tracking of TVL System with DBZ Handled

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