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2 results on '"Ji, Chunting"'

1. Adaptive Boundary Observer Design for Coupled Parabolic PDEs With Different Diffusions and Parameter Uncertainty.

Author

Ji, Chunting and Zhang, Zhengqiang

Subjects
*REACTION-diffusion equations, *PARTIAL differential equations, *TUBULAR reactors, *PARABOLIC differential equations, *CHEMICAL reactors, *ANALYTICAL chemistry, *NONLINEAR dynamical systems
Abstract

This paper focuses on establishing an adaptive boundary observer for fully coupled reaction-diffusions partial differential equations (PDEs) containing unknown parameters. Firstly, the state error system is transformed into an intermediate system by finite dimensional backstepping-like transformation, and then we convert the intermediate system to a target system by infinite dimensional backstepping transformation. Secondly, a least-squares type parameter adaptive law is given. Thirdly, exploiting an ad hoc persistent excitation condition, the exponentially convergent of the observer will be established by applying Lyapunov functional. Finally, we use simulation analysis for Chemical Tubular Reactor model to demonstrate the validity of the results. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Adaptive control for heterodirectional 2 × 2 hyperbolic PDEs with spatially varying coefficients and uncertain nonlinear actuator dynamics.

Author

Ji, Chunting and Zhang, Zhengqiang

Subjects
*ADAPTIVE control systems, *ACTUATORS, *CLOSED loop systems
Abstract

In this paper, we aim to develop adaptive asymptotic stability for heterodirectional 2 × 2 hyperbolic PDEs with parametric-strict-feedback nonlinear actuator dynamics. First, we transform the heterodirectional 2 × 2 hyperbolic PDEs with spatially varying coefficients into a stable target subsystem by utilizing the infinite-dimensional backstepping transformation. Second, an adaptive state feedback controller is constructed by combining finite-dimensional state transformation and adaptive compensation technology to assure the boundedness of all the signals in the closed-loop system. Meanwhile, we show that the PDE states converge to zero pointwise in space, the nonlinear ODE states and the control input also converge to zero. Finally, a simulation example is provided to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Published
2023
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