2013
DOI: 10.3390/s130404742
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Experimental Studies on Model Reference Adaptive Control with Integral Action Employing a Rotary Encoder and Tachometer Sensors

Abstract: In this paper, an adaptive law with an integral action is designed and implemented on a DC motor by employing a rotary encoder and tachometer sensors. The stability is proved by using the Lyapunov function. The tracking errors asymptotically converge to zero according to the Barbalat lemma. The tracking performance is specified by a reference model, the convergence rate of Lyapunov function is specified by the matrix Q and the control action and the state weighting are restricted by the matrix Γ. The experimen… Show more

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Cited by 15 publications
(5 citation statements)
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“…Then, the PID output is used to adapt for gathering the all-out wind power while dealing with several challenges such as the system uncertainty and the external disturbances. The configuration of the MRAC is based on three main subsystems, namely adaptive PID controller, reference model and adaptive mechanism [ 58 , 59 ], as depicted in Figure 6 .…”
Section: Mrac Strategymentioning
confidence: 99%
“…Then, the PID output is used to adapt for gathering the all-out wind power while dealing with several challenges such as the system uncertainty and the external disturbances. The configuration of the MRAC is based on three main subsystems, namely adaptive PID controller, reference model and adaptive mechanism [ 58 , 59 ], as depicted in Figure 6 .…”
Section: Mrac Strategymentioning
confidence: 99%
“…Based on Fig. 10, we can generate the error in (12) which is p = d/dt as the differetial operator and arrive at the sensitivity derivative in (13).…”
Section: Adaptation Mechanismmentioning
confidence: 99%
“…A nonliniear control system approach for a DC motor such as a sliding mode control design as in [5], backstepping control as in [6,7], and an adaptive control as in [8][9][10][11][12][13] have been discussed. Based on paper as in [5][6][7][8][9][10][11][12][13], the adaptive control approach is the most suitable type of control to treat conditions such as the disturbance of a DC motor. So, we used the adaptive control based on Model Reference Adaptive Control (MRAC) to control our DC motor model.…”
Section: Introductionmentioning
confidence: 99%
“…Linear control theory use tools like Root Locus, Nyquist or Bode plots to prove the stability of the controller. In modern control systems, digital controller algorithms like Linear Quadratic Regulator (LQR), Linear Quadratic Gaussian (LQG), Model Reference Adaptive Controller (MRAC) [1], Sliding Mode Control (SMC), Fuzzy Control [2] and Neural Networks [3] use more complex theory like Linear Matrix Inequalities (LMI) based on Lyapunov's stability criterion [4] [5] to prove stability. These controllers require the plant model and a set of state space equations that govern the system transfer function [6].…”
Section: Introductionmentioning
confidence: 99%