Settling time design for nonlinear finite-time control systems

2012 ◽  
Author(s):  
Hisakazu Nakamura ◽  
Nami Nakamura ◽  
Yasuhiro Fujii
Keyword(s):  
Control Systems ◽  
Finite Time ◽  
Settling Time ◽  
Time Control

Universal approximations of discrete-time control systems over finite time

1983 ◽  
Vol 28 (4) ◽  
pp. 439-452 ◽  
Author(s):  
V. Costanza ◽  
B. Dickinson ◽  
E. Johnson
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Time Control

scholarly journals Finite-Time Control for a Coupled Four-Tank Liquid Level System Based on the Port-Controlled Hamiltonian Method

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Tao Xu ◽  
Haisheng Yu ◽  
Jinpeng Yu
Keyword(s):  
Finite Time ◽  
Controller Design ◽  
Design Procedure ◽  
Hamiltonian Function ◽  
Settling Time ◽  
Liquid Level ◽  
Level System ◽  
Time Control ◽  
Practical Engineering ◽  
The Relationship

This work investigates the finite-time control problem for a nonlinear four-tank cross-coupled liquid level system by the port-controlled Hamiltonian (PCH) model. A fixed-free methodology is exhibited which can be used to simplify the controller design procedure. To get an adjustable convergent gain of the finite-time control, a feasible technique named damping normalization is proposed. A novel parameter autotuning algorithm is given to clarify the principle of choosing parameters of the PCH method. Furthermore, a finite-time controller is designed by a state-error desired Hamiltonian function, and the relationship between the settling time and a parameter is given, which can be applied in practical engineering easily to adjust the settling time according to the industrial need. Finally, simulation and experimental results verify the effectiveness of the proposed algorithm.

Finite-Time Control of Networked Control Systems with Bounded Packet Dropout

2012 ◽  
Vol 629 ◽  
pp. 840-844
Author(s):  
Jin Xu ◽  
Ye Guo Sun
Keyword(s):  
Control Systems ◽  
Finite Time ◽  
State Feedback ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Packet Dropout ◽  
Time Control ◽  
Finite Time Boundedness

In this paper, the finite-time boundedness and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump liner systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilization of the underlying systems are derived via liner matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

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