Robust Adaptive Control for Fractional-Order Systems with Disturbance and Saturation

A treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation. Although some texts have touched upon control of fractional-order systems, the issues of input saturation and disturbances have rarely been considered together. This book offers chapter coverage of fractional calculus and fractional-order systems; fractional-order PID controller and fractional-order disturbance observer; design of fractional-order controllers for nonlinear chaotic systems and some applications; sliding mode control for fractional-order nonlinear systems based on disturbance observer; disturbance observer based neural control for an uncertain fractional-order rotational mechanical system; adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance; stabilization control of continuous-time fractional positive systems based on disturbance observer; sliding mode synchronization control for fractional-order chaotic systems with disturbance; and more. Based on the approximation ability of the neural network (NN), the adaptive neural control schemes are reported for uncertain fractional-order nonlinear systems Covers the disturbance estimation techniques that have been developed to alleviate the restriction faced by traditional feedforward control and reject the effect of external disturbances for uncertain fractional-order nonlinear systems By combining the NN with the disturbance observer, the disturbance observer based adaptive neural control schemes have been studied for uncertain fractional-order nonlinear systems with unknown disturbances Considers, together, the issue of input saturation and the disturbance for the control of fractional-order nonlinear systems in the present of system uncertainty, external disturbance, and input saturation Robust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation can be used as a reference for the academic research on fractional-order nonlinear systems or used in Ph.D. study of control theory and engineering.

A treatise on investigating tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturationRobust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation provides the reader with a good understanding on how to achieve tracking control and synchronization control of fractional-order nonlinear systems with system uncertainties, external disturbance, and input saturation. Although some texts have touched upon control of fractional-order systems, the issues of input saturation and disturbances have rarely been considered together.This book offers chapter coverage of fractional calculus and fractional-order systems; fractional-order PID controller and fractional-order disturbance observer; design of fractional-order controllers for nonlinear chaotic systems and some applications; sliding mode control for fractional-order nonlinear systems based on disturbance observer; disturbance observer based neural control for an uncertain fractional-order rotational mechanical system; adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance; stabilization control of continuous-time fractional positive systems based on disturbance observer; sliding mode synchronization control for fractional-order chaotic systems with disturbance; and more.* Based on the approximation ability of the neural network (NN), the adaptive neural control schemes are reported for uncertain fractional-order nonlinear systems* Covers the disturbance estimation techniques that have been developed to alleviate the restriction faced by traditional feedforward control and reject the effect of external disturbances for uncertain fractional-order nonlinear systems* By combining the NN with the disturbance observer, the disturbance observer based adaptive neural control schemes have been studied for uncertain fractional-order nonlinear systems with unknown disturbances* Considers, together, the issue of input saturation and the disturbance for the control of fractional-order nonlinear systems in the present of system uncertainty, external disturbance, and input saturationRobust Adaptive Control for Fractional-Order Systems, with Disturbance and Saturation can be used as a reference for the academic research on fractional-order nonlinear systems or used in Ph.D. study of control theory and engineering.

PrefaceAcronyms1 Introduction2 Fractional calculus and fractional-order systems2.1 Fractional calculus2.2 Some typical fractional-order systems2.3 Conclusion3 Fractional-order PID controller and fractional-order disturbance observer3.1 Problem statement3.2 Fractional-order PID controller3.3 Frequency domain fractional-order disturbance observer3.4 Conclusion4 Design of fractional-order controllers for nonlinear chaotic systems and some applications4.1 Fractional-order control for a novel chaotic system without equilibrium4.2 The application of the chaotic system without equilibrium in image encryption4.3 Synchronization control for fractional-order nonlinear chaotic systems4.4 Conclusion5 Sliding mode control for fractional-order nonlinear systems based on disturbance observer5.1 Problem statement5.2 Adaptive control design based on fractional-order sliding mode disturbance observer5.3 Simulation examples5.4 Conclusion6 Disturbance observer based neural control for an uncertain fractional-order rotational mechanical system6.1 Problem statement6.2 Adaptive neural control design6.3 Simulation example6.4 Conclusion7 Adaptive neural tracking control for uncertain fractional-order chaotic systems subject to input saturation and disturbance7.1 Problem statement7.2 Adaptive neural control design based on fractional-order disturbance observer7.3 Simulation examples7.4 Conclusion8 Stabilization control of continuous-time fractional positive systems based on disturbance observer8.1 Problem statement8.2 Main results8.3 Conclusion9 Sliding mode synchronization control for fractional-order chaotic systems with disturbance9.1 Problem statement9.2 Design of fractional-order disturbance observer9.3 Disturbance observer-based synchronization control of fractional-order chaotic systems9.4 Simulation examples9.5 Conclusion10 Anti-synchronization control for fractional-order nonlinear systems using disturbance observer and neural networks10.1 Problem statement10.2 Design of disturbance observer10.3 Anti-synchronization control of fractional-order nonlinear systems10.4 Simulation examples10.5 Conclusion11 Synchronization control for fractional-order systems subjected to input saturation11.1 Problem statement11.2 Synchronization control design of fractional-order systems with input saturation11.3 Simulation examples11.4 Conclusion12 Synchronization control for fractional-order chaotic systems with input saturation and disturbance12.1 Problem statement12.2 Design of fractional-order disturbance observer12.3 Design of synchronization Control12.4 Simulation examples12.5 ConclusionAppendix A Fractional derivatives of some functionsA.1 Fractional derivative of constantA.2 Fractional derivative of the power functionA.3 Fractional derivative of the exponential functionA.4 Fractional derivatives of sine and cosine functionsAppendix B Table of Caputo derivativesAppendix C Laplace transforms involving fractional operationsC.1 Laplace transformsC.2 Special functions for Laplace transformC.3 Laplace transform tables