Active control of railway vehicle suspension using PID controller with pole placement technique

Vibrations control of railway vehicles using decentralized proportional integral derivative controller with flow direction optimization algorithm

“…The appropriate choices of the coefficients for translational and angular motions are as follows: 𝑟 1 = 0.5, 𝑟 2 = 2000. The various parameters of a railway vehicle (with loaded body mass) and track used in this study have been given in [22]. The simulation has been done in MATLAB/SIMULINK environment with a maximum step size of 1e-3.…”

“…The definitions and values of various parameters used in Eqs. ( 1) -( 8) are the same as in [22,65]. The state space formulation of the above system has been given in the next section.…”

“…; 𝑉is the velocity of the vehicle; 𝑙 𝑟 is half the distance between the two-rolling circle of the wheel-set (m) as given [22]. While the values of constant factors and cut-off frequencies for different track classes are given in Table 2.…”

“…Several research papers on traditional and modern controllers to maximize the performance of active suspension systems have been published. These include the use of proportional integral derivative (PID) control [16][17][18][19][20][21][22], fuzzy logic control [23,24], sliding mode control [25,26], neuro-fuzzy control [27], model predictive control [28,29], optimal &𝐻 ∞ control [30][31][32][33] and neural-network-based control [34][35][36]. Among them, the proportional integral derivative controller is still a favorite in modern control domains because of its simple and robust performance under various operating situations.…”

Disturbance rejecting PID-FF controller design of a non-ideal buck converter using an innovative snake optimizer with pattern search algorithm

“…The pole placement (PP) method, traditionally employed to shape the closed-loop dynamics by strategically placing the poles of the system, can be applied with PID controllers to achieve enhanced control capabilities. By incorporating the pole placement technique into PID controller design, engineers can systematically tune the closed-loop response to meet specific performance requirements [ [61] , [62] , [63] , [64] ]. The PID parameters for the PP method in this study are obtained using the mentioned traditional approach, which is given [ 64 ].…”