In this paper, we present the design of an optimal, reliable and robust control system for an industrial plant emulator that is representative of many 'real-life' electromechanical systems found in industry. T...
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The system dynamics approach is a holistic way of solving problems in real‐time scenarios. This is a powerful methodology and computer simulation modeling technique for framing, analyzing, and discussing complex issu...
The system dynamics approach is a holistic way of solving problems in real‐time scenarios. This is a powerful methodology and computer simulation modeling technique for framing, analyzing, and discussing complex issues and problems. System dynamics modeling and simulation is often the background of a systemic thinking approach and has become a management and organizational development paradigm. This paper proposes a system dynamics approach for study the importance of infrastructure facilities on quality of primary education system in developing nations. The model is proposed to be built using the Cross Impact Analysis (CIA) method of relating entities and attributes relevant to the primary education system in any given community. We offer a survey to build the cross‐impact correlation matrix and, hence, to better understand the primary education system and importance of infrastructural facilities on quality of primary education. The resulting model enables us to predict the effects of infrastructural facilities on the access of primary education by the community. This may support policy makers to take more effective actions in campaigns.
In this paper we present control of a multicable suspended mechanism called the `2D SpiderCrane'. The use of cables, and thus avoiding conventional heavy components, makes such a mechanism suitable for working at ...
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In this paper we present control of a multicable suspended mechanism called the `2D SpiderCrane'. The use of cables, and thus avoiding conventional heavy components, makes such a mechanism suitable for working at high transfer speeds. Using the notion of Lie-Bäcklund transformation, the model is transformed to a new set of coordinates in which the system looks linear. We then solve the closed-loop stabilization and trajectory tracking problem with a simple, but very natural, pole placement strategy.
A method to design a high performance robust tracking controller to track step references for uncertain continuous MIMO plant is presented. A non-linear sliding surface is proposed by which the damping ratio of closed...
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A method to design a high performance robust tracking controller to track step references for uncertain continuous MIMO plant is presented. A non-linear sliding surface is proposed by which the damping ratio of closed loop system is increased as output approaches setpoint. Stability with the proposed non-linear surface is proved. A new control law is designed to guarantee the existence of sliding mode around the proposed non-linear surface. Position controller of stepper is designed using the proposed algorithm and corresponding simulation results are presented to show the effectiveness of the proposed scheme.
The Taylor model [8] is one of the inclusion functions available to compute the range enclosures. It has the property of (m + 1)th convergence order, where, m is the order of the Taylor model used. It computes a high ...
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The Taylor model [8] is one of the inclusion functions available to compute the range enclosures. It has the property of (m + 1)th convergence order, where, m is the order of the Taylor model used. It computes a high order polynomial approximation to a multivariate Taylor expansion, with a remainder term that rigorously bound the approximation error. The sharper bounds on the enclosures computed using the Taylor model can be obtained either by successively partitioning the domain x using suitable subdivision factors, or by increasing the convergence rate of the Taylor model using higher order Taylor models. However, higher order Taylor forms require higher degrees of the polynomial part, which in turn require more computational effort and more memory. This is the major drawback of increasing the order m of Taylor models for obtaining range enclosures with higher order convergence rates. In this paper, we attempt to overcome these drawbacks by using a lower order Taylor model, and then using extrapolation to accelerate the convergence process of the sequences generated with the lower order Taylor model. The effectiveness of all the proposed algorithms is tested on various multivariate examples and compared with the conventional methods. The test results show that the proposed extrapolation-based methods offer considerable speed improvements over the conventional methods.
Interval Newton methods are widely used to find reliable enclosures for the roots of the polynomial systems. But the computation process needs the evaluation of an enclosure for the derivative of the polynomial and ev...
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Interval Newton methods are widely used to find reliable enclosures for the roots of the polynomial systems. But the computation process needs the evaluation of an enclosure for the derivative of the polynomial and evaluation of the polynomial at a particular point. Again, the subdivisions (if any are needed) will require repeated evaluation of the function values. We propose an alternative approach using Bernstein coefficients to find the value of the Newton operator. This Bernstein Newton operator doesn't require evaluation of the function at any particular point. Instead the function value is obtained directly from the vertex points. Again the computation of the derivative is very simple using the Bernstein coefficient approach. In addition to this the range enclosures obtained using Bernstein coefficients are much sharper than the range enclosures obtained using many other interval forms. We compare the performance of the proposed Bernstein Newton Contractor with that of Interval Newton contractor using numerical examples, proving the superiority of the proposed approach.
Integral sliding mode(ISM) based composite nonlinear feedback(CNF) tracking controller to track step signal is proposed. The proposed controller combines advantages of CNF controller like quick response without oversh...
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Integral sliding mode(ISM) based composite nonlinear feedback(CNF) tracking controller to track step signal is proposed. The proposed controller combines advantages of CNF controller like quick response without overshoot and robustness of ISM controller. Integral sliding mode is used along with CNF controller to reject disturbances and track nominal trajectory. Actuator saturation effect is considered and the stability of overall system is guaranteed with saturated actuator. Chattering is reduced by use of sigmoid function and non-linear switching gain. Effectiveness of the proposed scheme is demonstrated by simulation results.
There is a growing demand for magnetic suspension systems, especially in the field of high accuracy multi-dimensional positioning. Magnetic levitation (Maglev) systems offer many advantages such as frictionless, low n...
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There is a growing demand for magnetic suspension systems, especially in the field of high accuracy multi-dimensional positioning. Magnetic levitation (Maglev) systems offer many advantages such as frictionless, low noise, the ability to operate in high vacuum environments and so on. Reliable and robust controller synthesis of this system is of great practical interest. Robustness is a key issue in designing a control system for a magnetic levitation as the models are never 100 percent accurate and the uncertainties in the model must be accounted. In the present work, a new approach using quantitative feedback theory (QFT) is presented for design of a robust two degree of freedom controller for magnetic levitation. Experimental tests are conducted to check the reliability and robustness of the designed control system by subjecting it to disturbances. The experimental test results show the control system design to be reliable and robust.
This paper concerns studying dissipativity of a system with supply rates that depend on one or more parameters. We show that suitable choice of supply rate turns out to make dissipativity equivalent to traditional gai...
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ISBN:
(纸本)9781424431236
This paper concerns studying dissipativity of a system with supply rates that depend on one or more parameters. We show that suitable choice of supply rate turns out to make dissipativity equivalent to traditional gain/phase margin conditions for stability. Further, the well-known circle criterion corresponds to a different supply rate, and here optimizing the supply rate is nothing but finding the largest circle such that circle criterion implies absolute stability for time-varying nonlinearities. L ¿ -control is another example of dissipativity with respect to a relevant supply rate, and here we show that, in fact, improper L ¿ -controllers are easily dealt with using our approach (unlike the standard state space methods). We formulate and prove necessary and sufficient conditions for L ¿ -control, and then conclude that optimal controllers always exist (under suboptimal solvability conditions).
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