... Processing Based on Nonlinear Analysis: Symbolic Dynamics ,” Chaos, Solitons Fractals , 44 ( 12 ), pp. 1054 – 1062 . 10.1016/j.chaos.2011.08.012 [10] Jorgensen , C. , Lee , D. , and Agabon , S. , 2012 , “ Sub-Audible Speech Recognition Based Upon Electromyographic Signals ,” U.S. Patent...

...Emmanuel D. Blanchard; Adrian Sandu; Corina Sandu Mechanical systems operate under parametric and external excitation uncertainties. The polynomial chaos approach has been shown to be more efficient than Monte Carlo for quantifying the effects of such uncertainties on the system response. Many...

...Brian A. Templeton; David E. Cox; Sean P. Kenny; Mehdi Ahmadian; Steve C. Southward This paper applies the H 2 norm along time and parameter domains. The norm is related to the probabilistic H 2 problem. It is calculated using polynomial chaos to handle uncertainty in the plant model. The structure...

...Tarunraj Singh; Puneet Singla; Umamaheswara Konda A probabilistic approach, which exploits the domain and distribution of the uncertain model parameters, has been developed for the design of robust input shapers. Polynomial chaos expansions are used to approximate uncertain system states and cost...

... is one and therefore its structure is much simpler than the first controller. To illustrate the applicability, these controllers are applied to control chaos in the fractional-order Chen system. Numerical simulations results are presented to evaluate the performance of the proposed controllers. 03...

... identification and control procedure. The Lyapunov exponent for example can be used as a chaos criterion. Since the identification process and control action are performed simultaneously, so there is no need to define an end for control system flowchart of Fig. 1 . The end of simulation is set by the user...

... parameters. The stability conditions of periodic oscillations are derived. Routes to chaos are investigated both from direct numerical simulation and from analog simulation of the model describing the forced oscillator. One of the most important contributions of this work is to provide a set of reliable...

... of the plate is used to compute the phase change of the plate between bounces and this is the other state variable of the BBA. A control algorithm based on chaos ( 5 8 ) has been used to control the ball to a stable one-cycle periodic orbit starting from rest on the plate and has been implemented...

... and kept within these bounds. Some computer simulations of using the controller to control the Hénon map have been performed to demonstrate the performance of the proposed controller. 01 04 2003 24 05 2005 chaos variable structure systems adaptive control neurocontrollers fuzzy...

... oscillations time-varying systems chaos convergence matrix algebra noise parameter estimation We present a new nonlinear observer designed for parameter estimation in nonlinear oscillating systems. A preliminary version of this work was presented earlier 1 . Let a dynamical system generate...

... adaptive estimation variable structure systems stability chaos Observer Design Adaptive Estimation Nonlinear Systems Chaotic Synchronization In this paper, we present extensions of sliding-mode adaptive observers for state reconstruction of continuous-time nonlinear systems...

... generic for sensor-based prediction of gradual damage in mechanical systems, specifically manufacturing processes. [S0022-0434(00)02401-1] We observed that the force and vibration signals exhibited low-dimensional chaos and were fairly stationary 11 . Even though we collected AE during experiments...

... connected to itself by a homoclinic orbit. In the region where α < α s , the Melnikov analysis reported in 3 cannot be used to predict chaos in the region below the dashed line in Fig. 9 . Nevertheless, the attractor appears to be chaotic also in that region. A more appropriate theory...