scholarly journals A Path Following Feedback Control Law with a Variable Velocity for a Trident Steering Walker and Its Experimental Verification(Mechanical Systems)

2010 ◽  
Vol 76 (762) ◽  
pp. 351-360
Author(s):  
Takuya MORINAGA ◽  
Hiroaki YAMAGUCHI ◽  
Atsushi KAWAKAMI
2014 ◽  
Vol 26 (5) ◽  
pp. 551-565 ◽  
Author(s):  
Hiroaki Yamaguchi ◽  
◽  
Ryota Kameyama ◽  
Atsushi Kawakami ◽  

<div class=""abs_img""><img src=""[disp_template_path]/JRM/abst-image/00260005/03.jpg"" width=""300"" />Experimental coupled-vehicle system</div> This paper presents a new path-following feedback control law of a five-axle, three-steering coupledvehicle system which enables specifying the movements and rotations of its two carriers quantitatively, according to the operating environment. The kinematical equations of the coupled-vehicle system are first converted into time differential equations in a threechain, single-generator chained form. The time differential equations in the chained form are secondly converted into new differential equations with a new variable. The new control law enables the relative orientation between the two carriers to be constant in either a straight-bed carrier configuration or a V-bed carrier configuration, and simultaneously enables the orientations of these carriers functioning as a single carrier relative to the direction of the tangent of the path to be changed quantitatively, according to the locations of obstacles for avoiding collision with them. Asymptotic stability of the new control law is guaranteed by the linear control theory and the Lyapunov’s second method. Especially, the form of the new differential equations facilitates the design of the Lyapunov functions. The validity of the new control law is verified by an experimental five-axle, three-steering coupledvehicle system. </span>


Author(s):  
Jianqin Wang ◽  
Zaojian Zou ◽  
Tao Wang

The paper studies the path following of a ship sailing in restricted waters based on an output feedback control, which consists of a state feedback control law and an extended updated-gain high-gain observer. According to the separation principle, the state feedback control and the extended updated-gain high-gain observer are designed separately. The state feedback control law is designed based on a robust guaranteed cost control method assuming that system states are measurable. Sufficient conditions are given for the control based on a linear uncertain system. The extended updated-gain high-gain observer, whose gains are updated according to the nonlinear functions of available evaluation errors, is used to reconstruct system states. Then the output feedback control is obtained by replacing states value in the state feedback control law with its estimation yielded by the state observer. Numerical simulations confirm the effectiveness of the proposed control method for the path following of a ship sailing in restricted waters.


Author(s):  
Xindong Si ◽  
Hongli Yang

AbstractThis paper deals with the Constrained Regulation Problem (CRP) for linear continuous-times fractional-order systems. The aim is to find the existence conditions of linear feedback control law for CRP of fractional-order systems and to provide numerical solving method by means of positively invariant sets. Under two different types of the initial state constraints, the algebraic condition guaranteeing the existence of linear feedback control law for CRP is obtained. Necessary and sufficient conditions for the polyhedral set to be a positive invariant set of linear fractional-order systems are presented, an optimization model and corresponding algorithm for solving linear state feedback control law are proposed based on the positive invariance of polyhedral sets. The proposed model and algorithm transform the fractional-order CRP problem into a linear programming problem which can readily solved from the computational point of view. Numerical examples illustrate the proposed results and show the effectiveness of our approach.


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