Mixed H2/H[infinity] Robust Controller Design with Degree Constraint in Angular Metric

Author(s):  
Song Jianbai ◽  
Duan Yubo ◽  
Liu Jicheng



2010 ◽  
Vol 97-101 ◽  
pp. 2373-2376
Author(s):  
Li Sheng Wei ◽  
Ming Jiang ◽  
Qi Gong Chen ◽  
Min Rui Fei

This note investigates H-infinity robust controller design for uncertain multi-variable networked control systems with disturbance. The complete mathematical model is derived. And the sufficient condition for asymptotical stability is analyzed by using 2nd Lyapunov stability theory combined with free-weighting matrices techniques. The existence of such a controller is given in terms of the solvability of linear matrix inequalities. The efficacy and feasibility of the proposed methods is shown by presenting simulation results.



Author(s):  
Huizhen Yang ◽  
Fumin Zhang

This paper presents a novel robust controller design for formation control of autonomous underwater vehicles (AUVs). We consider a nonlinear three-degree-of-freedom dynamic model for the horizontal motion of each AUV. By using the Jacobi transform, the horizontal dynamics of AUVs are explicitly expressed as dynamics for formation shape and formation center, and are further decoupled by feedback control. We treat the coupling terms as perturbations to the decoupled system. An H-infinity state feedback controller is designed to achieve robust stability of the closed loop formation and translation dynamics. By incorporating an orientation controller, the formation shape under control converges and the formation center tracks a desired trajectory simultaneously. Simulation results demonstrate the effectiveness of the controllers.



2010 ◽  
Vol 2010 ◽  
pp. 1-16
Author(s):  
Bin Liu ◽  
Chang-Hong Wang ◽  
Wei Li ◽  
Zhuo Li

The sensitivity minimization of feedback system is solved based on the theory of Nevanlinna-Pick interpolation with degree constraint without using weighting functions. More details of the dynamic characteristic of second-order system investigated, which is determined by the location of spectral zeroes, the upper boundγofS, the length of the spectral radius and the additional interpolation constraints. And the guidelines on how to tune the design parameters are provided. Gyro stabilized pod as a typical tracking system is studied, which is based on the typical structure of two-axis and four-frame. The robust controller is designed based on Nevanlinna-Pick interpolation with degree constraint. When both friction of LuGre model and disturbance exist, the closed-loop system has stronger disturbance rejection ability and high tracking precision. Numerical examples illustrate the potential of the method in designing robust controllers with relatively low degrees.



2019 ◽  
Vol 40 (1) ◽  
pp. 41-50 ◽  
Author(s):  
Vojtech Vesely ◽  
Adrian Ilka ◽  
Ladislav Korosi ◽  
Martin Ernek


2014 ◽  
Vol 39 (8) ◽  
pp. 1374-1380
Author(s):  
Bin LIU ◽  
Jiu-Qiang SUN ◽  
Zhi-Qiang ZHAI ◽  
Zhuo LI ◽  
Chang-Hong WANG


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