56 articles for “Nonlinear Systems”

Research ArticleOpen accessAll words, across the recordSolving Volterra's Population Model Using New Second Derivative Multistep MethodsK. Parand, G. HojjatiIn this study new second derivative multistep methods (denoted SDMM) are used to solve Volterra's model for population growth of a species within a closed system. This model is a nonlinear integro-differential where the integral term represents the effect of toxin. This model is first converted to a nonlinear ordinary differential equation and then the new SDMM, which has good … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 6,908 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNonlinear Piecewise-Defined Difference Equations with Reciprocal Quadratic TermsRamadan Sabra, Saleem Shafiq Al-AshhabIn this study we consider the several types of piece-wise defined sequences. We prove some results concerning the behavior of the sequence. In some cases we prove that the terms repeat themselves in certain patterns and we prove in other cases that the terms grow monotonically after few terms and approaches infinity. …Journal of Mathematics and Statistics, Vol. 11, Issue 3 · 18 Nov 2015 · 6,762 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordA New Engineering Method for Fuzzy Reliability Analysis of Surge Control in Centrifugal CompressorAhmed Hafaifa, Ferhat Laaouad, Moulod GuemanaProblem statement: The surge phenomenon in the centrifugal compressor, the non-linearities and uncertainties of the compression system make it impossible to use a conventional controller over a wide range of operation. Approach: A new dual fuzzy controller for nonlinear model of compression system was proposed in this study. This fuzzy controller was designed that consisted of active surge control and … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 8,224 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordDesign of Robust UPFC Controller Using H∞ Control Theory in Electric Power SystemSeyed Abbas Taher, Shahabeddin Akbari, Ali Abdolalipour, Reza HemattiAn industrial plant, such a power system, always contains parametric uncertainties. In the design of a controller the uncertainties have to be considered. Otherwise, if the real plant differs from the assumed plant model, a controller, designed based on classical controller design approaches, may not ensure the stability of the overall system. In this paper design of robust control for … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 7,090 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordA Switching Mechanism Detection to Reduce Complexity in Multiuser Detection for DS-CDMA SystemsRekha Agarwal, B. V.R. Reddy, K. K. AggarwalWe present a reduced complexity switching mechanism which uses either matched filter or Parallel Interference Cancellation (PIC) detector based on channel characteristics. The main criterion of taking PIC detector is that it has less Bit Error Rate (BER) and less processing delay than other nonlinear multiuser detectors. This proposed detector reduces overall complexity while maintaining the same performance as PIC … …Journal of Mathematics and Statistics, Vol. 2, Issue 2 · 30 Jun 2007 · 6,641 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordMorphing Mechanisms Part 2: Using Repetitive Control to Morph Cam Follower MotionNonglak Phetkong, Meng-Sang Chew, Richard W. LongmanThis research utilizes the repetitive control approach in morphing a high-speed cam mechanism so that its output displacement tracks the desired output trajectory. The main objective is to reduce the output tracking error, which is the difference between the actual and desired output displacements of the output mass. A 3-degree of freedom mathematical model is used to analyze and represent … …American Journal of Applied Sciences, Vol. 2, Issue 5 · 31 May 2005 · 7,369 accessesView PDF Cite