The fractional order lead compensator

Monje, Concepción A.; Martín, Antonio; Vinagre, Blas M.; Feliú, V.

doi:10.1109/icccyb.2004.1437746

Cited by 50 publications

(36 citation statements)

References 4 publications

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“…Nowadays, many fractional order controllers have been introduced and studied in practical applications. The TID controller [22], the fractional PI λ D μ controller [36] and its subsets, i.e., the fractional PD α controller [21] and the fractional PI α controller [25], the CRONE controllers [31,33,34], the fractional lead-lag compensator [27,39], and fractional adaptive controllers [19,20,49] are some of the well-known fractional order controllers introduced up to now. The tuning rules for the introduced fractional order controllers have been presented in some papers such as [25,28,47,48].…”

Section: Introductionmentioning

confidence: 99%

Taming Single Input Chaotic Systems by Fractional Differentiator-Based Controller: Theoretical and Experimental Study

Tavazoei

Haeri

Jafari

2009

Circuits Syst Signal Process

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A simple fractional differentiator-based controller is proposed to suppress chaos in a 3D single input chaotic system by stabilizing some of the fixed points. The tuning procedure for the proposed controller is based on the stability concepts in the incommensurate fractional order systems. To show the efficiency of the controller, some numerical simulations are given. Also, to evaluate the practical capability of the proposed controller, we experimentally apply it to control chaos in a chaotic circuit. Moreover, some mathematical analyses are presented to show the applicability of the proposed controller, when its structure is not exactly implementable.

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Section: Introductionmentioning

confidence: 99%

Taming Single Input Chaotic Systems by Fractional Differentiator-Based Controller: Theoretical and Experimental Study

Tavazoei

Haeri

Jafari

2009

Circuits Syst Signal Process

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“…Many additional fractional-order controllers have been proposed, including tilt-integral derivative (TID) controllers, 7 fractional-order lead-lag compensators, 8,9 fractional-order optimal controllers, 10,11 and fractional-order adaptive controllers.…”

Section: 6mentioning

confidence: 99%

Fractional-order sliding mode control for a class of uncertain nonlinear systems based on LQR

Zhang

Cao

Tang

2017

International Journal of Advanced Robotic Systems

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This article presents a new fractional-order sliding mode control (FOSMC) strategy based on a linear-quadratic regulator (LQR) for a class of uncertain nonlinear systems. First, input/output feedback linearization is used to linearize the nonlinear system and decouple tracking error dynamics. Second, LQR is designed to ensure that the tracking error dynamics converges to the equilibrium point as soon as possible. Based on LQR, a novel fractional-order sliding surface is introduced. Subsequently, the FOSMC is designed to reject system uncertainties and reduce the magnitude of control chattering. Then, the global stability of the closed-loop control system is analytically proved using Lyapunov stability theory. Finally, a typical single-input single-output system and a typical multi-input multi-output system are simulated to illustrate the effectiveness and advantages of the proposed control strategy. The results of the simulation indicate that the proposed control strategy exhibits excellent performance and robustness with system uncertainties. Compared to conventional integer-order sliding mode control, the high-frequency chattering of the control input is drastically depressed.

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“…However, in the recent years, emergence of effective methods in differentiation and integration of non-integer order equations makes fractional-order systems more and more attractive for the A New Approach to Design Smith Predictor Based Fractional Order Controllers Khosro Khandani and Ali Akbar Jalali systems control community. The TID controller [10], the CRONE controllers [11], [12] and [13] and the fractional lead-lag compensator [14] and [15] are some of the well-known fractional-order controllers. In some of these papers it is verified that the fractional-order controllers can have better disturbance rejection ratios and less sensitivity to plant parameter variations compared to the traditional controllers [16].…”

Section: Fractional Calculus and Fractional Controlmentioning

confidence: 99%

A New Approach to Design Smith Predictor Based Fractional Order Controllers

Khandani¹,

Jalali²

2010

IJCEE

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I. INTRODUCTIONDead times, or time delays, are found in many processes in industry. Dead times are mainly caused by the time required to transport mass, energy or information, but they can also be caused by processing time or by the accumulation of time lags in a number of simple dynamic systems connected in series [1]. Compared to processes without delays, the presence of a delay in the process greatly complicates the analytical aspects of the control system design, making it more difficult to achieve a satisfactory level of control [2]. Time-delay has been a common phenomenon to overcome whenever we close a feedback loop for the purpose of controlling any system. Recent increase of control applications in the variety gives more importance to systematic methods to cope with time delay. In order to compensate the negative effects of time delay, a well-known and highly effective dead-time compensator for stable processes is Smith predictor [3]. In this predictor scheme, a mathematical model of the process is implemented in an internal feedback loop around a conventional controller. The distinctive scheme was proposed by O.J.M.Smith approximately 50 years ago, and is still attracting much attention for its usefulness. The major advantage of the Smith predictor is that delay issues can be ignored when designing the controller.Fractional-order dynamic systems and controllers, which are based on fractional-order calculus have been gaining attention in several research communities since the last few years [4]. A few recent works in this direction as well as

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The fractional order lead compensator

Cited by 50 publications

References 4 publications

Taming Single Input Chaotic Systems by Fractional Differentiator-Based Controller: Theoretical and Experimental Study

Taming Single Input Chaotic Systems by Fractional Differentiator-Based Controller: Theoretical and Experimental Study

Fractional-order sliding mode control for a class of uncertain nonlinear systems based on LQR

A New Approach to Design Smith Predictor Based Fractional Order Controllers

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