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Derivative State Constrained Optimal H2 Integral Controller and its Application to Crane System

TL;DR: In this article, a derivative state constrained optimal H2 integral servo problem for linear crane model systems via the constraints of the derivatives of state variables added to the standard constraints is studied.
Abstract: Study in this paper concerns the optimal H2 integral servo problems for linear crane model systems via the constraints of the derivatives of state variables added to the standard constraints. It is shown in the paper that the derivative state constrained optimal H2 integral servo problems can be reduced to the standard optimal H2 control problem. The main subject of the paper is to apply the results of derivative state constrained H2 integral servo theorem in crane system. The effect of our proposed controller with respect to mitigate an under damping for crane model system is also verified.

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Citations
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01 Jun 2005
TL;DR: In this paper, the authors developed a simulator for hydraulic excavators using AMESim, which can be used to forecast excavator behavior when new components, new mechanical attachments, hydraulic circuit changes, and new control algorithm are applied.
Abstract: Hydraulic excavators have been popular devices in construction field because of its multi-workings and economic efficiency. The mathematical models of excavators have many nonlinearities because of nonlinear opening characteristics and dead zone of main control valve, oil temperature variation, etc. The objective of this paper is to develop a simulator for hydraulic excavator using AMESim. Components and whole circuit are expressed graphically. Parameters and nonlinear characteristics are inputted in text style. The simulator can be used to forecast excavator behavior when new components, new mechanical attachments, hydraulic circuit changes, and new control algorithm are applied. The simulator could be a kind of development platform for various new excavators.

2 citations

01 Jun 2005
TL;DR: In this article, a numerical inverse preisach model is used to compensate hysteresis effects in SMA actuators by using the geometrical interpretation from first order transition curves.
Abstract: The aim of this paper is to compensate hysteresis phenomena in Shape Memory Alloy (SMA) actuators by using numerical inverse Preisach model. This is used to design a controller that correct hysteresis effects and improve accuracy for the displacement of SMA actuators. Firstly, hysteresis is identified by numerical Preisach model implementation. The geometrical interpretation from first order transition curves is used for hysteresis modeling. Secondly, the inverse Preisach model is formulated and incorporated in open-loop control system in order to obtain desired input- output relationship with hysteresis reducing. The experimental results for hysteresis compensation by using this method are also shown in this paper.

2 citations

01 Jun 2005
TL;DR: In this paper, an approach to evaluate the appropriate parameters for Piezoelectric ceramic utilization by adopting Impedance Method is presented, in which the Butterworth Van Dyke model (BVD) is considered to use as an equivalent circuit of Piezel ceramic in case of no load and the experimental results from this model will be compared with the results from a circular PPI with 4.8 cm. diameter and 3 mm. thickness.
Abstract: This paper presents an approach to evaluate the appropriate parameters for Piezoelectric ceramic utilization by adopting Impedance Method. Butterworth Van Dyke model (BVD) is considered to use as an equivalent circuit of Piezoelectric ceramic in case of no load. The experimental results from this model will be compared with the results from a circular Piezoelectric ceramic with 4.8 cm. diameter and 3 mm. thickness. The Thickness Mode vibration measured by Impedance Analyzer model 4192A can be analyzed from 1Hz to 13MHz for calculating and analyzing parameters at resonance frequency and anti-resonance frequency. These parameters are evaluated to design the efficient circuit for Piezoelectric ceramic utilization to obtain the optimal efficiency.

1 citations

Book ChapterDOI
08 Sep 2010
TL;DR: It is shown in this paper that the derivative state constrained optimal H1 integral problems can be reduced to the standard optimal H2 control.
Abstract: An optimal H2 integral controller designed with derivative state constraints for a torsional vibration model is presented. The proposed controller is designed based on the optimal H2 control problem with a prescribed degree of stability in order to control the under damped response of an oscillatory system with a constant disturbance and to reduce the vibration of the system. It is shown in this paper that the derivative state constrained optimal H2 integral problems can be reduced to the standard optimal H2 control. The effectiveness of the controller in reducing the torsional vibration and the damping of two-inertia system are also shown by simulation and experimental results.

1 citations

References
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01 Jan 1972

71 citations

Journal ArticleDOI
TL;DR: This paper proposes a new method to design linear multi-input-output optimal tracking systems that have no steady-state error for polynomial type inputs even if process parameter variations or constant disturbances exist.

22 citations

Journal ArticleDOI
TL;DR: In this article, the optimal H2 control of oscillatory systems via the constraints of the derivatives of state variables is discussed and applied to a physical system in a two-inertia resonance system.
Abstract: The optimal H2 control of oscillatory systems via the constraints of the derivatives of state variables is discussed and applied to a physical system in this paper. It is shown that the derivative state constrained optimal H2 control can be reduced into the standard optimal H2 control problem with modified controlled output equations. The solution to the modified standard problem has salient features for controlling oscillatory systems that have been a tough subject in state space as well as in classical frequency domain controls.The results obtained in the paper suggest the directions how to select the constraining weights in the standard state space control designs of oscillatory systems.The application of this approach to the control of a two-inertia resonance system is shown to demonstrate the proposed schemes.

9 citations