Solving the LQ and Non-Conventional Performance Index Optimal Problem With the Use of the Simulated Annealing Algorithm

2007 ◽  
Author(s):  
Horacio Marti´nez-Alfaro ◽  
Manuel Valenzuela-Rendo´n
Keyword(s):  
Simulated Annealing ◽  
Performance Index ◽  
Simulated Annealing Algorithm ◽  
Mimo Systems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Quadratic Optimal Control ◽  
Annealing Algorithm ◽  
Lq Problem ◽  
Time Invariant

An approach to solve the discrete-time, time-invariant linear quadratic optimal control problem is presented. The design approach presented in here transforms the LQ problem into a combinatorial optimization problem and uses the Simulated Annealing algorithm to optimize the performance index. In addition, a non-conventional performance index is proposed. Some SISO and MIMO systems are tested. Results proved the approach to be an excellent option to find a solution to the problem.

A New Solution for Maxterm Problem in Trigonometric Functions by Simulated Annealing Algorithm

2013 ◽  
Vol 4 (2) ◽  
pp. 20-28
Author(s):  
Farhad Soleimanian Gharehchopogh ◽  
Hadi Najafi ◽  
Kourosh Farahkhah
Keyword(s):  
Simulated Annealing ◽  
Simulated Annealing Algorithm ◽  
Trigonometric Functions ◽  
Matlab Software ◽  
Annealing Algorithm ◽  
Do So

The present paper is an attempt to get total minimum of trigonometric Functions by Simulated Annealing. To do so the researchers ran Simulated Annealing. Sample trigonometric functions and showed the results through Matlab software. According the Simulated Annealing Solves the problem of getting stuck in a local Maxterm and one can always get the best result through the Algorithm.

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