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Volumn 24, Issue 3, 2011, Pages 476-484

Solving nonlinear optimal control problems using a hybrid IPSO-SQP algorithm

Author keywords

Inertia weight; Optimal control; Optimization; Particle swarm optimization; Successive quadratic programming

Indexed keywords

CONVERGENCE SPEED; CONVERGENT SPEED; FITNESS VALUES; GLOBAL OPTIMUM; GLOBAL SEARCH ABILITY; HYBRID ALGORITHMS; IMPROVED PARTICLE SWARM OPTIMIZATION; IMPROVED PSO; INERTIA WEIGHT; LOCAL OPTIMA; NEAR OPTIMUM; NON-LINEAR OPTIMAL CONTROL; OPTIMAL CONTROL; OPTIMAL CONTROL PROBLEM; OPTIMUM SOLUTION; PSO ALGORITHMS; SEARCH PROCESS; SQP ALGORITHM; SUCCESSIVE QUADRATIC PROGRAMMING;

EID: 79951950305     PISSN: 09521976     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engappai.2010.08.002     Document Type: Article
Times cited : (50)

References (43)
  • 2
    • 0031316575 scopus 로고    scopus 로고
    • Application of stochastic global optimization algorithms to practical problems
    • M.M. Ali, C. Storey, and A. Trn Application of stochastic global optimization algorithms to practical problems Journal of Optimization Theory and Applications 95 1997 545 563 (Pubitemid 127359164)
    • (1997) Journal of Optimization Theory and Applications , vol.95 , Issue.3 , pp. 545-563
    • Ali, M.M.1    Storey, C.2    Torn, A.3
  • 3
    • 34548475547 scopus 로고    scopus 로고
    • On the improved performances of the particle swarm optimization algorithms with adaptive parameters, cross-over operators and root mean square (RMS) variants for computing optimal control of a class of hybrid systems
    • DOI 10.1016/j.asoc.2007.01.010, PII S1568494607000208
    • M.S. Arumugam, and M.V.C. Rao On the improved performances of the particle swarm optimization algorithms with adaptive parameters, cross-over operators and root mean square (RMS) variants for computing optimal control of a class of hybrid systems Applied Soft Computing 8 2008 324 336 (Pubitemid 47374567)
    • (2008) Applied Soft Computing Journal , vol.8 , Issue.1 , pp. 324-336
    • Arumugam, M.S.1    Rao, M.V.C.2
  • 4
    • 33747878550 scopus 로고    scopus 로고
    • Modified differential evolution (MDE) for optimization of non-linear chemical processes
    • DOI 10.1016/j.compchemeng.2005.12.020, PII S0098135406000147
    • B.V. Babu, and R. Angira Modified differential evolution (MDE) for optimization of non-linear chemical processes Computers and Chemical Engineering 30 2006 989 1002 (Pubitemid 44287994)
    • (2006) Computers and Chemical Engineering , vol.30 , Issue.6-7 , pp. 989-1002
    • Babu, B.V.1    Angira, R.2
  • 8
    • 23344434757 scopus 로고    scopus 로고
    • Nonlinear inertia weight variation for dynamic adaptation in particle swarm optimization
    • DOI 10.1016/j.cor.2004.08.012, PII S0305054804002023
    • A. Chatterjee, and P. Siarry Nonlinear inertia weight variation for dynamic adaptation in particle swarm optimization Computers and Operations Research 33 3 2006 859 871 (Pubitemid 41101128)
    • (2006) Computers and Operations Research , vol.33 , Issue.3 , pp. 859-871
    • Chatterjee, A.1    Siarry, P.2
  • 10
    • 33750810348 scopus 로고    scopus 로고
    • Nonlinear system identification and control using a real-coded genetic algorithm
    • DOI 10.1016/j.apm.2005.11.024, PII S0307904X05002519
    • W. Chang Nonlinear system identification and control using a real-coded genetic algorithm Applied Mathematical Modeling 31 2007 541 550 (Pubitemid 44712649)
    • (2007) Applied Mathematical Modelling , vol.31 , Issue.3 , pp. 541-550
    • Chang, W.-D.1
  • 11
    • 0036464756 scopus 로고    scopus 로고
    • The particle swarm-explosion, stability, and convergence in a multidimensional complex space
    • DOI 10.1109/4235.985692, PII S1089778X02022099
    • M. Clerc, and J. Kennedy The particle swarm-explosion, stability, and convergence in a multidimensional complex space IEEE Transactions on Evolutionary Computation 6 1 2002 58 73 (Pubitemid 34404564)
    • (2002) IEEE Transactions on Evolutionary Computation , vol.6 , Issue.1 , pp. 58-73
    • Clerc, M.1    Kennedy, J.2
  • 12
    • 0034159170 scopus 로고    scopus 로고
    • Use of a self-adaptive penalty approach for engineering optimization problems
    • C.A.C. Coello Use of a self-adaptive penalty approach for engineering optimization problems Computers in Industry 41 2000 113 127
    • (2000) Computers in Industry , vol.41 , pp. 113-127
    • Coello, C.A.C.1
  • 13
    • 14844353340 scopus 로고    scopus 로고
    • Mathematical modeling and optimal control strategy development for an adipic acid crystallization process
    • C.B.B. Costa, A.C. da Costa, and R. Maciel Filho Mathematical modeling and optimal control strategy development for an adipic acid crystallization process Chemical Engineering and Processing 44 2005 737 753
    • (2005) Chemical Engineering and Processing , vol.44 , pp. 737-753
    • Costa, C.B.B.1    Da Costa, A.C.2    MacIel Filho, R.3
  • 14
    • 0029394109 scopus 로고
    • The Pseudospectral Legendre Method for discretizing optimal control problems
    • G. Elnagar, M.A. Kazemi, and M. Razzaghi The Pseudospectral Legendre Method for discretizing optimal control problems IEEE Transactions on Automatic Control 40 1995 1793 1796
    • (1995) IEEE Transactions on Automatic Control , vol.40 , pp. 1793-1796
    • Elnagar, G.1    Kazemi, M.A.2    Razzaghi, M.3
  • 16
    • 0023826312 scopus 로고
    • Control parameterization: A unified approach to optimal control problems with general constraints
    • DOI 10.1016/0005-1098(88)90003-9
    • C.J. Goh, and L.K. Teo Control parameterization: a unified approach to optimal control problems with general constraints Automatica 24 1988 3 18 (Pubitemid 18563627)
    • (1988) Automatica , vol.24 , Issue.1 , pp. 3-18
    • Goh, C.J.1    Teo, K.L.2
  • 18
    • 0022559425 scopus 로고
    • Optimization of control parameters for genetic algorithms
    • DOI 10.1109/TSMC.1986.289288
    • J.J. Grefenstette Optimization of control parameters for genetic algorithms IEEE Transactions on Systems, Man and Cybernetics 16 1 1986 122 128 (Pubitemid 16187857)
    • (1986) IEEE Transactions on Systems, Man and Cybernetics , vol.16 , Issue.1 , pp. 122-128
    • Grefenstette, J.J.1
  • 19
    • 68549105996 scopus 로고    scopus 로고
    • Optimal control of batch processes using particle swam optimization with stacked neural network models
    • F. Herrera, and J. Zhang Optimal control of batch processes using particle swam optimization with stacked neural network models Computers and Chemical Engineering 33 2009 1593 1601
    • (2009) Computers and Chemical Engineering , vol.33 , pp. 1593-1601
    • Herrera, F.1    Zhang, J.2
  • 21
    • 0028413196 scopus 로고
    • Constrained optimization via genetic algorithms
    • A. Homaifar, C.X. Qi, and S.H. Lai Constrained optimization via genetic algorithms Simulation 62 4 1994 242 254
    • (1994) Simulation , vol.62 , Issue.4 , pp. 242-254
    • Homaifar, A.1    Qi, C.X.2    Lai, S.H.3
  • 22
    • 0028602950 scopus 로고
    • On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs
    • IEEE Press Orlando
    • J.A. Joines, and C.R. Houck On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs Proceedings of the First IEEE Conference on Evolutionary Computation 1994 IEEE Press Orlando pp. 579584
    • (1994) Proceedings of the First IEEE Conference on Evolutionary Computation
    • Joines, J.A.1    Houck, C.R.2
  • 25
    • 14344249577 scopus 로고    scopus 로고
    • Efficient Differential Evolution algorithms for multimodal optimal control problems
    • DOI 10.1016/S1568-4946(03)00007-3
    • I.L. Lopez Cruz, L.G. Van Willigenburg, and G. Van Straten Efficient differential evolution algorithms for multimodal optimal control problems Applied Soft Computing 3 2003 97 122 (Pubitemid 40442492)
    • (2003) Applied Soft Computing Journal , vol.3 , Issue.2 , pp. 97-122
    • Lopez Cruz, I.L.1    Van Willigenburg, L.G.2    Van Straten, G.3
  • 26
    • 84983350383 scopus 로고
    • Multiplicity of solutions resulting from the use of variational methods in optimal control problems
    • R. Luus, and D.E. Cormack Multiplicity of solutions resulting from the use of variational methods in optimal control problems Canadian Journal of Chemical Engineering 50 1972 309 312
    • (1972) Canadian Journal of Chemical Engineering , vol.50 , pp. 309-312
    • Luus, R.1    Cormack, D.E.2
  • 29
    • 0015299786 scopus 로고
    • A generalized gradient method for optimal control problems with inequality constraints and singular arcs
    • R.K. Mehra, and R.E. Davis A generalized gradient method for optimal control problems with inequality constraints and singular arcs IEEE Transactions on Automatic Control 17 1972 69 78
    • (1972) IEEE Transactions on Automatic Control , vol.17 , pp. 69-78
    • Mehra, R.K.1    Davis, R.E.2
  • 30
    • 0031144209 scopus 로고    scopus 로고
    • Optimal Control of Inequality State Constrained Systems
    • W. Mekarapiruk, and R. Luus Optimal control of inequality state constrained systems Industrial & Engineering Chemistry Research 36 1997 1686 1694 (Pubitemid 127495819)
    • (1997) Industrial and Engineering Chemistry Research , vol.36 , Issue.5 , pp. 1686-1694
    • Mekarapiruk, W.1    Luus, R.2
  • 31
    • 73249126274 scopus 로고    scopus 로고
    • Parameter identification of chaotic dynamic systems through an improved particle swarm optimization
    • H. Modares, A. Alfi, and M.M. Fateh Parameter identification of chaotic dynamic systems through an improved particle swarm optimization Expert Systems with Applications 37 2010 3714 3720
    • (2010) Expert Systems with Applications , vol.37 , pp. 3714-3720
    • Modares, H.1    Alfi, A.2    Fateh, M.M.3
  • 34
    • 0003054892 scopus 로고    scopus 로고
    • Differential evolution, a simple evolution strategy for fast optimization
    • K. Price, and R. Storn Differential evolution, a simple evolution strategy for fast optimization Dr. Dobb's Journal 1997 22 1997 18 24
    • (1997) Dr. Dobb's Journal , vol.1997 , Issue.22 , pp. 18-24
    • Price, K.1    Storn, R.2
  • 35
    • 1842840111 scopus 로고    scopus 로고
    • Optimization of fed-batch bioreactors using genetic algorithm: Multiple control variables
    • DOI 10.1016/j.compchemeng.2004.02.018, PII S009813540400047X
    • D. Sarkar, and J.M. Modak Optimization of fed-batch bioreactors using genetic algorithm: multiple control variables Computers and Chemical Engineering 28 2004 789 798 (Pubitemid 38490322)
    • (2004) Computers and Chemical Engineering , vol.28 , Issue.5 , pp. 789-798
    • Sarkar, D.1    Modak, J.M.2
  • 36
    • 0029228155 scopus 로고
    • Genetic algorithm approach for optimal control problems with linearity appearing controls
    • H. Sewald, and R.R. Kumar Genetic algorithm approach for optimal control problems with linearity appearing controls Journal of Guidance, Control and Dynamics 18 1 1995 177 182
    • (1995) Journal of Guidance, Control and Dynamics , vol.18 , Issue.1 , pp. 177-182
    • Sewald, H.1    Kumar, R.R.2
  • 38
    • 0001307871 scopus 로고
    • Direct and indirect methods for trajectory optimization
    • O.V. Stryk, and R. Bulirsch Direct and indirect methods for trajectory optimization Annals of Operations Research 37 1992 357 373
    • (1992) Annals of Operations Research , vol.37 , pp. 357-373
    • Stryk, O.V.1    Bulirsch, R.2
  • 40
    • 50149083480 scopus 로고    scopus 로고
    • Differential evolution approach for optimal reactive power dispatch
    • M. Varadarajan, and K.S. Swarup Differential evolution approach for optimal reactive power dispatch Applied Soft Computing 8 2008 1549 1561
    • (2008) Applied Soft Computing , vol.8 , pp. 1549-1561
    • Varadarajan, M.1    Swarup, K.S.2
  • 42
    • 0024048789 scopus 로고
    • Chebyshev polynomial method for optimal control with state constraints
    • DOI 10.1016/0005-1098(88)90094-5
    • J. Vlassenbroeck A Chebyshev polynomial method for optimal control with state constraints Automatica 24 4 1988 499 506 (Pubitemid 18661462)
    • (1988) Automatica , vol.24 , Issue.4 , pp. 499-506
    • Vlassenbroeck, J.1
  • 43
    • 0041939633 scopus 로고    scopus 로고
    • Numerical computational method using genetic algorithm for the optimal control problem with terminal constraints and free parameters
    • PII S0362546X97001405
    • Y. Yamashita, and M. Shima Numerical computational method using genetic algorithms for the optimal control problem with terminal constraints and free parameters Non-linear Analysis: Theory, Methods and Applications 30 4 1997 2285 2290 (Pubitemid 127408192)
    • (1997) Nonlinear Analysis, Theory, Methods and Applications , vol.30 , Issue.4 , pp. 2285-2290
    • Yamashita, Y.1    Shima, M.2


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