Geometric methods in linearization of control systems

Witold Respondek

Displaying similar documents to “Geometric methods in linearization of control systems”

Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions

Chaoqun Guo, Jiangping Hu, Jiasheng Hao, Sergej Čelikovský, Xiaoming Hu (2023)

Kybernetika

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In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained and unconstrained cases in a unified way. Further, a radial basis function neural network is constructed to approximate the unknown dynamics in the system and a fixed-time dynamic surface control (FDSC) technique is developed to facilitate the fixed-time...

Assignment of nonlinear sampled-data dynamics using generalized hold function control.

Kabamba, Pierre T., Hung, Yao-Shan (1995)

Mathematical Problems in Engineering

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Nonlinear feedback stabilization of a two-dimensional Burgers equation

Laetitia Thevenet, Jean-Marie Buchot, Jean-Pierre Raymond (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we study the stabilization of a two-dimensional Burgers equation around a stationary solution by a nonlinear feedback boundary control. We are interested in Dirichlet and Neumann boundary controls. In the literature, it has already been shown that a linear control law, determined by stabilizing the linearized equation, locally stabilizes the two-dimensional Burgers equation. In this paper, we define a nonlinear control law which also provides a local exponential stabilization...

Direct gradient descent control as a dynamic feedback control for linear system.

Naiborhu, J., Nababan, S.M., Saragih, R., Pranoto, I. (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Controller design for bilinear systems with parametric uncertainties.

Shi, Peng, Shue, Shyh-Pyng, Shi, Yan, Agarwal, Ramesh K. (1999)

Mathematical Problems in Engineering

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Output consensus of nonlinear multi-agent systems with unknown control directions

Yutao Tang (2015)

Kybernetika

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In this paper, we consider an output consensus problem for a general class of nonlinear multi-agent systems without a prior knowledge of the agents' control directions. Two distributed Nussbaum-type control laws are proposed to solve the leaderless and leader-following adaptive consensus for heterogeneous multiple agents. Examples and simulations are given to verify their effectiveness.