...Junaidvali Shaik; Thomas K. Uchida; C. P. Vyasarayani A harmonically excited, single-degree-of-freedom time-delay system with cubic and quintic nonlinearities is studied. This system describes the direct resonance of a ship with an actively controlled antiroll tank (ART) that is subjected to beam...

...Hadi Delavari; Hamid Heydarinejad In this paper, a novel fractional-order (FO) backstepping sliding-mode control is proposed for a class of FO nonlinear systems with mismatched disturbances. Here the matched/mismatched disturbances are estimated by an FO nonlinear disturbance observer (NDO...

... observer by using the optimal control theory associated with a proposed numerical algorithm. Thereby, an innovative quadratic optimization criterion is proposed to calculate the required optimal value of the observer setting parameter θ , characterizing the observation gain and corresponding to the minimal...

... Bifurcations Chaotic dynamics Control Nonlinear dynamical systems Stability of nonlinear systems Networks synchronization has attracted a lot of attention in last years and one of the main reasons is that networks are everywhere, especially in nature, e.g., see Refs. [ 1 – 5 ]. On the other hand...

... optimal control methods to multibody systems. As an example application, we present a digital human motion planning problem, which we solve using the proposed method. Furthermore, we present detailed descriptions of several common joints, in particular singularity-free models of the spherical joint...

... is a constant, symmetric, and positive definite matrix . Control design with input saturation is very challenging. The saturation may cause performance degradation or even the instability if it is not taken into consideration in the controller design process. One of the effective approaches for dealing...

.... Assoc. Editor: Dumitru Baleanu. 01 08 2017 21 03 2018 Bifurcations Chaotic dynamics Control Fractional calculus Nonlinear dynamical systems Nonlinear phenomena Stability of nonlinear systems The term “hidden attractor” was coined by Leonov et al. who discovered...

...Touria Karite; Ali Boutoulout; Delfim F. M. Torres We investigate exact enlarged controllability (EEC) for time fractional diffusion systems of Riemann–Liouville type. The Hilbert uniqueness method (HUM) is used to prove EEC for both cases of zone and pointwise actuators. A penalization method...

...Sen Zhang; Yi Cheng Zeng; Zhi Jun Li By using a simple state feedback control technique and introducing two new nonlinear functions into a modified Sprott B system, a novel four-dimensional (4D) no-equilibrium hyper-chaotic system with grid multiwing hyper-chaotic hidden attractors is proposed...

.... , and Machado , J. T. , 2010 , “ Complex Order Van Der Pol Oscillator ,” Nonlinear Dyn. , 65 ( 3 ), pp. 247 – 254 . 10.1007/s11071-010-9886-0 [17] Pinto , C. , and Machado , J. T. , 2012 , “ Complex-Order Forced Van Der Pol Oscillator ,” J. Vib. Control , 18 ( 14 ), pp. 2201 – 2209...

... is considered. According to the proposed control law and Lyapunov theorem, the asymptotic convergence of synchronization error to zero is proved. To identify unknown parameters, an adaptive mechanism is also used. Finally, a number of numerical simulations are provided for the Lorenz system and a memristor...

...Aldo Jonathan Muñoz-Vázquez; Vicente Parra-Vega; Anand Sánchez-Orta The robust control for a class of disturbed fractional-order systems is presented in this paper. The proposed controller considers a dynamic observer to exactly compensate for matched disturbances in finite time, and a procedure...

...Junya Kato; Tsuyoshi Inoue; Kentaro Takagi; Shota Yabui Active magnetic bearing (AMB) is the device to support and control rotating shaft. Feedback linearization is one of the methods to compensate the system nonlinearity, and it is often used in the control of AMB. Some parameters...

...B. Sandeep Reddy; Ashitava Ghosal This paper deals with the issue of robustness in control of robots using the proportional plus derivative (PD) controller and the augmented PD controller. In the literature, a variety of PD and model-based controllers for multilink serial manipulator have been...

...Sohrab Effati; Seyed Ali Rakhshan; Samane Saqi In this paper, a new numerical scheme is proposed for multidelay fractional order optimal control problems where its derivative is considered in the Grunwald–Letnikov sense. We develop generalized Euler–Lagrange equations that results from multidelay...

... . Manuscript received March 7, 2017; final manuscript received April 1, 2018; published online April 27, 2018. Assoc. Editor: Brian Feeny. 07 03 2017 01 04 2018 Control Multibody system dynamics Nonlinear oscillations Robotics Stability of nonlinear systems Vibration Mechanism...

... solenoid actuated butterfly valves undergoes the harmful chaotic/hyperchaotic dynamics subject to some initial conditions and critical parameters. Crucial trade-offs, including robustness, computational burden, and practical feasibility of the control scheme, are thoroughly investigated. The advantages...

... of a single slave [master] system. Using the Lyapunov stability theory and the active backstepping technique, controllers are derived to achieve the difference synchronization of three identical hyperchaotic Liu systems evolving from different initial conditions, as well as the difference synchronization...

... sliding mode methodology is derived mathematically to accomplish the prescribed goal. With the introduction of new virtual controls, the proposed strategy renders finite time tracking of a fractional-order reference model in-spite of various system uncertainties. Further, the closed loop system stability...

...Mona Afshari; Saleh Mobayen; Rahman Hajmohammadi; Dumitru Baleanu This paper considers a global sliding mode control (GSMC) approach for the stabilization of uncertain chaotic systems with multiple delays and input nonlinearities. By designing the global sliding mode surface, the offered scheme...