The problem of optimal control of time-varying linear singular systems with quadratic performance index has been studied using the runge-kutta-Butcher algorithm. The results obtained using the runge-kutta (RK) method ...
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The problem of optimal control of time-varying linear singular systems with quadratic performance index has been studied using the runge-kutta-Butcher algorithm. The results obtained using the runge-kutta (RK) method based on the arithmeticmean (RKAM) and the RK-Butcher algorithms are compared with the exact solutions of the time-varying optimal control of linear singular systems. It is observed that the result obtained using the RK-Butcher algorithm is closer to the true solution of the problem. Stability regions for the RKAM algorithm, the single-term Walsh series method and the RK-Butcher algorithms are presented. Error graphs for the simulated results and exact solutions are presented in graphical form to highlight the efficiency of the RK-Butcher algorithm. This algorithm can easily be implemented using a digital computer. An additional advantage of this method is that the solution can be obtained for any length of time for this type of optimal control of time-varying linear singular systems.
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