Robust Nonlinear Control Design for a Hypersonic Aircraft Using Sum–of–Squares Method

Author(s):  
Armin Ataei-Esfahani ◽  
Qian Wang

In recent years, Sum–Of–Squares (SOS) method has attracted increasing interest as a new approach for stability analysis and controller design of nonlinear dynamic systems. This paper utilizes SOS method to design a robust nonlinear controller for longitudinal dynamics of a hypersonic aircraft model. Specifically, the searching of the nonlinear robust controller is reformulated as a robust SOS/robust LMI problem, and then solved via a stochastic iterative algorithm. As the simulation results show, the designed controller is capable of stabilizing the aircraft and following pilot commands in presence of parametric uncertainties in the aircraft model.

2012 ◽  
Vol 263-266 ◽  
pp. 709-712
Author(s):  
Bing Wang ◽  
Yan Ping Qian ◽  
Yi Ming Zhang

In this paper, the dual-input nonlinear controller of permanent magnet wind generators was designed based on energy dissipation theory and Hamiltonian energy approach. Under the action of the Hamiltonian controller, the closed-loop system is asymptotically stable on case of no disturbances and finite-gain L2 stable in the presence of disturbances. The Hamiltonian energy approach provides us a physical insight and a new way to the controller design of nonlinear systems. The simulation results show the effectiveness of the proposed robust controller.


1996 ◽  
Vol 118 (2) ◽  
pp. 339-341 ◽  
Author(s):  
Chyun-Chau Fuh ◽  
Pi-Cheng Tung

A nonlinear controller and its design method are proposed. The development of the controller is motivated by fuzzy control. The controller has the advantages of simple structure, rapid computation, zero steady error, few parameters to set, and robustness to structure uncertainties and to parameter variations. Comparing the new controller with the PID controller, we find the performance of the new controller to be better. Its sensitivity to variations of the system is smaller than that of the PID and it requires no prefilter to avoid large overshoot. Digital simulations are performed to verify the capability of the proposed new nonlinear controller.


2017 ◽  
Vol 10 (4) ◽  
pp. 359 ◽  
Author(s):  
Mohammed El Malah ◽  
Abdellfattah Ba-razzouk ◽  
M’hammed Guisser ◽  
Elhassane Abdelmounim ◽  
Mhamed Madark ◽  
...  

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