Controller Design for High-Order Sliding Mode Dynamics With Upper-Triangular Uncertainties

Author(s):  
Lu Liu ◽  
Wei Xing Zheng ◽  
Shihong Ding
2014 ◽  
Vol 25 (5) ◽  
pp. 848-858 ◽  
Author(s):  
Liang Wang ◽  
Yongzhi Sheng ◽  
Xiangdong Liu

Author(s):  
Ricardo Aguilar-López ◽  
Rafael Martínez-Guerra ◽  
Rafael Maya-Yescas

The main issue of this paper is the synthesis of a robust control law for regulation purposes, which is applied to a class of chemical reactor which exhibits highly nonlinear and oscillatory behavior. The considered methodology employs the typical structure of Proportional-Integral controllers, where the corresponding integral term is now proposed as an integral high order sliding-mode compensator, which deals with the intrinsic nonlinearities of the system to be regulated. A theoretical frame is provided to demonstrate that the proposed controller produces semi-global practical stability; performance of the proposed methodology is assessed via comparison with other controllers.


2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Bailing Tian ◽  
Wenru Fan ◽  
Qun Zong ◽  
Jie Wang ◽  
Fang Wang

This paper describes the design of a nonlinear robust adaptive controller for a flexible hypersonic vehicle model which is nonlinear, multivariable, and unstable, and includes uncertain parameters. Firstly, a control-oriented model is derived for controller design. Then, the model analysis is conducted for this model via input-output (I/O) linearized technique. Secondly, the sliding mode manifold is designed based on the homogeneity theory. Then, the adaptive high order sliding mode controller is designed to achieve the tracking for hypersonic vehicle where the upper bounds of the uncertainties are not known in advance. Furthermore, the stability of the system is proved via the Lyapunov theory. Finally, the Monte-Carlo simulation results on the full-order nonlinear model with aerodynamic uncertainties are provided to demonstrate the effectiveness of the proposed control strategy.


2021 ◽  
Vol 13 (7) ◽  
pp. 3737
Author(s):  
Youcef Belkhier ◽  
Abdelyazid Achour ◽  
Rabindra Nath Shaw ◽  
Nasim Ullah ◽  
Md. Shahariar Chowdhury ◽  
...  

A permanent magnet synchronous generator (PMSG) in s grid-connected tidal energy conversion system presents numerous advantages such as high-power density and ease of maintenance. However, the nonlinear properties of the generator and parametric uncertainties make the controller design more than a simple challenge. Within this paper we present a new combined passivity-based voltage control (PBVC) with a nonlinear observer. The PBVC is used to design the desired dynamics of the system, while the nonlinear observer serves to reconstruct the measured signals. A high order sliding-mode based fuzzy supervisory approach is selected to design the desired dynamics. This paper addresses the following two main parts: controlling the PMSG to guarantee the maximum tidal power extraction and integrate into to the grid-side converter (GSC), for this the new controller is proposed. The second task is to regulate the generated reactive power and the DC-link voltage to their references under any disturbances related to the machine-side converter (MSC). Furthermore, the robustness of the controller against parameter changes was taken into consideration. The developed controller is tested under parameter variations and compared to benchmark nonlinear control methods. Numerical simulations are performed in MATLAB/Simulink which clearly demonstrates the robustness of the proposed technique over the compared control methods. Moreover, the proposed controller is also validated using a processor in the loop (PIL) experiment using Texas Instruments (TI) Launchpad.


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