Output feedback control of linear fractional transformation systems subject to actuator saturation

2015 ◽  
Vol 47 (15) ◽  
pp. 3646-3655
Author(s):  
Xiaojun Ban ◽  
Fen Wu
2018 ◽  
Vol 40 (10) ◽  
pp. 3189-3200 ◽  
Author(s):  
Baochen Qiang ◽  
Le Zhang

To enlarge the domain of attraction of a supercavitating vehicle subject to actuator saturation, this paper presents a new output feedback control design in consideration of the immeasurable vertical speed. The dive-plane dynamics of a supercavitating vehicle are considered. By introducing the sector condition of the planing force, a new output feedback control law that locally stabilizes the closed-loop system is proposed. The design of the controller that maximizes the vehicle’s domain of attraction is then formulated and solved as an optimization problem with linear matrix inequality (LMI) constraints. Simulations are conducted for systems under saturation-oriented and non-saturation-oriented controllers. The results show that the proposed design can achieve a much larger domain of attraction than do conventional, non-saturation-oriented approaches.


2020 ◽  
Vol 42 (14) ◽  
pp. 2822-2829
Author(s):  
Kexin Xu ◽  
Xianqing Wu ◽  
Miao Ma ◽  
Yibo Zhang

In this paper, we consider the control issues of the two-dimensional translational oscillator with rotational actuator (2DTORA) system, which has two translational carts and one rotational rotor. An output feedback controller for the 2DTORA system is proposed, which can prevent the unwinding behaviour. In addition, the velocity signal unavailability and actuator saturation are taken into account, simultaneously. In particular, the dynamics of the 2DTORA system are given first. On the basis of the passivity and control objectives of the 2DTORA system, an elaborate Lyapunov function is constructed. Then, based on the introduced Lyapunov function, a novel output feedback control method is proposed straightforwardly for the 2DTORA system. Lyapunov theory and LaSalle’s invariance principle are utilized to analyse the stability of the closed-loop system and the convergence of the states. Finally, simulation results are provided to illustrate the excellent control performance of the proposed controller in comparison with the existing method.


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