scholarly journals Pole Placement Approach to Crane Control Problem

2010 ◽  
Vol 14-15 (1) ◽  
Author(s):  
Jarosław Smoczek ◽  
Janusz Szpytko
Author(s):  
Wenjun Yan

In this paper, a new mixed H∞/H2 control with pole placement approach is developed based on a new stability condition. It extends the standard mixed H∞/H2 control problem to a set of new linear matrix inequality (LMI) constraints. The global optimal controller can be less conservatively synthesized using computationally tractable algorithms. The simulation results of an evaporation process with controllers designed by different techniques demonstrates the superiority of the new method.


2013 ◽  
Vol 198 ◽  
pp. 501-506
Author(s):  
Jaroslaw Smoczek

The gain scheduling control scheme designing problem consists in selecting a set of appropriate operating points at which the linear controllers are determined, thus the interpolation scheme ensures expected control quality within the known range of system's parameters changes, when those parameters vary in relation to some exogenous variables used in a control system as the scheduling variables. The problem arises together with the number of scheduling variables correlated with the parameters variations, thus utilizing the iterative techniques to minimize a set of controllers can be unreliable. The problem of gain scheduling system designing is addressed in the paper to the anti-sway crane control system. The fuzzy interpolation is used to determine the gains of proportional-derivative controllers based on the scheduling variables, the rope length and mass of a payload suspended on a rope. The problem of rules base optimization and membership function parameters tuning is solved using genetic algorithm and pole placement method.


Author(s):  
Ali Khudhair Al-Jiboory ◽  
Guoming Zhu ◽  
Cornel Sultan

The Input Covariance Constraint (ICC) control problem is an optimal control problem that minimizes the trace of a weighted output covariance matrix subject to multiple constraints on the input (control) covariance matrix. ICC control design using the Linear Matrix Inequality (LMI) approach was proposed and applied to a tensegrity simplex structure in this paper. Since it has been demonstrated that the system control variances are directly associated with the actuator sizes for a given set of ℒ2 disturbances, the tensegrity simplex design example is used to demonstrate the capability of using the ICC controller to optimize the system performance in the sense of output covariance with a given set of actuator constraints. The ICC control design was compared with two other control design approaches, pole placement and Output Covariance Constraint (OCC) control designs. Simulation results show that the proposed ICC controllers optimize the system performance (the trace of a weighted output covariance matrix) for the given control covariance constraints whereas the other two control design methods cannot guarantee the feasibility of the designed controllers. Both, state feedback and full-order dynamic output feedback controllers have been considered in this work.


2009 ◽  
Vol 9-10 (1) ◽  
pp. 87-98
Author(s):  
Jarosław Smoczek ◽  
Janusz Szpytko

The Fuzzy Robust Anti-Sway Crane Control SystemThe paper presents the pole placement approach to solve problem of conventional, based of proportional-derivative controllers, as well as robust, based of fuzzy controller, anti-sway crane control. The methods of robust gain-scheduling crane control system and selecting minimal set of operating points were shown. The fuzzy robust controller, based of Takagi-Sugeno-Kang inference system, was presented, as well as results of experiments, carried out using laboratory model of an overhead traveling crane, were shown in the paper.


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