Using improved chaotic ant swarm to tune PID controller on cooperative adaptive cruise control

Optimal PID controller design with adjustable maximum sensitivity

“…Using the shifting property of Laplace transform and Parseval's theorem, (21) and (22) will have the following form in s-domain…”

“…In this section, the PID controller is tuned by minimising the proposed objective functions given in (21) and 22, and is compared with the existing ISE, ITSE and following objective function that is used by Gaing in [24]…”

“…In general, the optimal solution of any design problem depends upon the mathematical modelling of that problem, which is commonly referred as the cost function, objective function or performance index etc. In the control engineering field, the integral-absolute-error, integral-time-absolute-error (ITAE), integral-square-error (ISE) and integral-time-square-error (ITSE) objective functions are widely used by researchers for optimal PID controller design [17][18][19][20][21][22][23][24][25][26]. However, the optimum value of ISE or other error function does not guarantee the optimum robustness level.…”

“…Following Proposition 1 and Lemma 1, it can be concluded that the controller designed for G(s − a) will provide a less sensitive response for G(s) as compared with the controller that is designed for the process G(s)M 21 < M 11 and M 22 < M 12 . 3.Similarly, for a < 0, the controller designed by minimising J21 and J 22 will provide the optimal ISE and ITSE response for process G(s + a). From Lemma 1, it is cleared that the controller designed for process G(s + a) will provide a more sensitive solution for the process G(s).…”

Adaptive Cruise Control Strategy Design with Optimized Active Braking Control Algorithm

“…Adaptive Neural Network scheme has been used in a platoon, in order to solve the traffic stability problem [18]. PID algorithm is used to directly control the accelerator pedal and the brake pedal to control the acceleration and deceleration of the vehicle to maintain the distance from the preceding vehicle [19,20]. e fuzzy logic-based ACC controller is used to make one vehicle follow another vehicle stably, having no shock during the process of the accelerator and brake switching [21,22].…”