Design of gain schedule fractional PID control for nonlinear thrust vector control missile with uncertainty

Abstract

The purpose of this paper is to control the trajectory of the nonlinear missile model in the pitch channel by using Fractional PID controller (FPID) and Gain Schedule Fractional PID controller (GSFPID). FPID and GSFPID with nonlinear missile model are designed where their parameters are tuned by Simulink design optimization in the Matlab toolbox. This optimization method gives the optimal parameters that achieve the best tracking with step unit reference signal. The GSF-PID controller compensates the restrictions that represent physical limits of actuators in the pitch channel. The GSFPID with nonlinear missile model is designed in two phases. The first phase is the boost phase where the thrust force is maximized and the second phase is sustain phase where the thrust force is minimized. The equations of motion for nonlinear missile model with FPID and GSFPID are modelled mathematically in the Matlab-Simulink environment. The results of FPID and GSFPID controllers with the nonlinear missile model are presented and compared. The wind effect and the dynamic uncertainties effects are researched and the results are compared. The closed-loop nonlinear system is linearized by the Simulink linear analysis tool at critical operating point t = 5.8 sec and the stability is studied.

An experimental comparison of different hierarchical self-tuning regulatory control procedures for under-actuated mechatronic systems

“…The gain-scheduling mechanism employs a state-driven look-up table to select pre-configured feedback controllers; where, each controller is designed specifically for a given operating condition [ 40 ]. The calibration and stability assurance of the constituent controllers for a system with a big range of uncertainty become quite laborious [ 41 ]. The model-predictive-controllers use smaller time frames to solve the receding-horizon optimization problem and deliver time-varying controller gains [ 42 ].…”

Tuning of a Linear-Quadratic Stabilization System for an Anti-Aircraft Missile

“…The field of linear systems has been declared many times to be exploited and obsolete from a research point of view, but interest has repeatedly been renewed due to new viewpoints and the introduction of new theories [9,10]. Recently, an interest in linear adaptive control in missile and space technology can be observed, where adaptive-tuned PID [11][12][13][14], FPID [11,[15][16][17] and linear-quadratic regulator (LQR) [18][19][20][21][22][23][24][25] controllers are widely proposed.…”

Self-tuning state-feedback control of a rotary pendulum system using adjustable degree-of-stability design

“…However, identifying the adaptation-rates for the Lyapunov gain-adjustment law is a cumbersome task [19]. The gain-scheduling technique dynamically modifies the controller-parameters by commuting between a predefined set of distinct linear controllers, each designed to address a specific operating condition, which is usually selected via a state-error dependent look-up table(s) [20]. Postulating distinct linear controllers and guaranteeing their asymptotic-stability, for every operating condition, is a laborious task that often leads to the degradation of control quality [21].…”