State Feedback Control to Track a Moving Object for a Non-Holonomic Mobile Robot

2010 ◽  
Vol 44-47 ◽  
pp. 646-650 ◽  
Author(s):  
Yan Cui Hui ◽  
Yi Qiang Peng ◽  
Xian Ye
Keyword(s):  
Feedback Control ◽  
Velocity Profile ◽  
Mobile Robot ◽  
Control Algorithm ◽  
State Feedback ◽  
Moving Object ◽  
State Feedback Control ◽  
Time Varying ◽  
Holonomic Robot ◽  
Holonomic Mobile Robot

In this paper, a state feedback control algorithm for non-holonomic robot to track a moving object is described. In order to generate continuous velocity profile, some independent time varying functions are introduced for calculation the state feedback variables. The simulation of the control algorithm is implemented with MATLAB. The results shows that, with the designed state feedback control algorithm, the wheeled mobile robot can track a moving object and the trajectory is also reasonable.

scholarly journals Robust H ∞ state-feedback control for linear systems

2017 ◽  
Vol 473 (2200) ◽  
pp. 20160934 ◽  
Author(s):  
Hao Chen ◽  
Zhenzhen Zhang ◽  
Huazhang Wang
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Control Algorithm ◽  
State Feedback ◽  
Convex Combination ◽  
State Feedback Control ◽  
Parameter Uncertainties ◽  
Globally Asymptotically Stable ◽  
Loop Control ◽  
Control Approach

This paper investigates the problem of robust H ∞ control for linear systems. First, the state-feedback closed-loop control algorithm is designed. Second, by employing the geometric progression theory, a modified augmented Lyapunov–Krasovskii functional (LKF) with the geometric integral interval is established. Then, parameter uncertainties and the derivative of the delay are flexibly described by introducing the convex combination skill. This technique can eliminate the unnecessary enlargement of the LKF derivative estimation, which gives less conservatism. In addition, the designed controller can ensure that the linear systems are globally asymptotically stable with a guaranteed H ∞ performance in the presence of a disturbance input and parameter uncertainties. A liquid monopropellant rocket motor with a pressure feeding system is evaluated in a simulation example. It shows that this proposed state-feedback control approach achieves the expected results for linear systems in the sense of the prescribed H ∞ performance.

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