Fixed-time stabilization control for port-Hamiltonian systems

2019 ◽  
Vol 96 (2) ◽  
pp. 1497-1509 ◽  
Author(s):  
Xinggui Liu ◽  
Xiaofeng Liao
Keyword(s):  
Hamiltonian Systems ◽  
Fixed Time ◽  
Stabilization Control

Fixed-Time $\mathcal {H}_{\infty }$ Control for Port-Controlled Hamiltonian Systems

2019 ◽  
Vol 64 (7) ◽  
pp. 2753-2765 ◽  
Author(s):  
Xinggui Liu ◽  
Xiaofeng Liao
Keyword(s):  
Hamiltonian Systems ◽  
Fixed Time

Robust fixed-time attitude stabilization control of flexible spacecraft with actuator uncertainty

2020 ◽  
Vol 100 (3) ◽  
pp. 2505-2519 ◽  
Author(s):  
Lu Cao ◽  
Bing Xiao ◽  
Mehdi Golestani
Keyword(s):  
Fixed Time ◽  
Flexible Spacecraft ◽  
Attitude Stabilization ◽  
Stabilization Control

scholarly journals Robust Simultaneous Stabilization Control Method for Two Port-Controlled Hamiltonian Systems: Controller Parameterization

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Zhong Cao ◽  
Xiaorong Hou
Keyword(s):  
Structural Properties ◽  
Hamiltonian Systems ◽  
Symbolic Computation ◽  
Control Method ◽  
Simultaneous Stabilization ◽  
Robust Controller ◽  
External Disturbances ◽  
Stabilization Control ◽  
Pch System ◽  
Controller Parameterization

This paper investigates robust simultaneous stabilization (RSS) control method for two port-controlled Hamiltonian (PCH) systems and proposes results on the design of simultaneous stabilization controller with parameters for such systems. Firstly, two PCH systems are studied. Using the dissipative Hamiltonian structural properties, the systems are combined to generate an augmented PCH system. When there are external disturbances in the systems, a robust controller with parameters is designed for the systems. Secondly, an algorithm for solving parameters of the controller is proposed with symbolic computation. Finally, an illustrative example is presented to show that the RSS controller obtained in this paper works very well.

scholarly journals Global Fixed-Time Stabilization for Chained Nonholonomic Systems via Output Feedback Control

2021 ◽  
Author(s):  
Xiandong Chen ◽  
Xianfu Zhang
Keyword(s):  
Output Feedback ◽  
Initial Conditions ◽  
Nonholonomic Systems ◽  
Fixed Time ◽  
Switching Control ◽  
Feedback Stabilization ◽  
Switching Law ◽  
Stabilizing Controllers ◽  
Output Feedback Stabilization ◽  
Stabilization Control

Abstract This paper studies the fixed-time output feedback stabilization control problem for chained nonholonomic systems. By means of switching control and $bi$-limit homogeneous techniques, it is firstly constructed two fixed-time state feedback stabilizing controllers for the considered systems. Then, a new state observer with a formalized switching law is proposed to fixed-time estimate system states, where high-order terms are applied to get uniform convergence regardless of initial conditions and low-order terms are aimed to the exact convergence in finite time. Finally, based on $bi$-limit homogeneous technique and Lyapunov stability theorem, fixed-time output feedback stabilizing controllers, one of which is discontinuous with a specific switching control law and the other is continuous, are constructed and the fixed-time output feedback stabilization of the considered systems is thus guaranteed. An example is presented to show the feasibility of the proposed fixed-time output feedback stabilization control strategy.

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