In this paper, we propose a robust fractional-order proportional-integral(FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient...In this paper, we propose a robust fractional-order proportional-integral(FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities(LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional(FOP) observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.展开更多
Computational power density and interconnection between transistors have grown to be the dominant challenges for the continued scaling of complementary metal-oxide-semiconductor(CMOS)technology due to limited integrat...Computational power density and interconnection between transistors have grown to be the dominant challenges for the continued scaling of complementary metal-oxide-semiconductor(CMOS)technology due to limited integration density and computing power.Herein,we designed a novel,hardware-efficient,interconnect-free microelectromechanical 7:3 compressor using three microbeam resonators.Each resonator is configured with seven equal-weighted inputs and multiple driven frequencies,thus defining the transformation rules for transmitting resonance frequency to binary outputs,performing summation operations,and displaying outputs in compact binary format.The device achieves low power consumption and excellent switching reliability even after 3 ×10^(3) repeated cycles.These performance improvements,including enhanced computational power capacity and hardware efficiency,are paramount for moderately downscaling devices.Finally,our proposed paradigm shift for circuit design provides an attractive alternative to traditional electronic digital computing and paves the way for multioperand programmable computing based on electromechanical systems.展开更多
基金supported by King Abdullah University of Science and Technology (KAUST),KSA
文摘In this paper, we propose a robust fractional-order proportional-integral(FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient conditions are derived in terms of linear matrix inequalities(LMIs) approach by using an indirect Lyapunov method. The proposed FOPI observer is robust against Lipschitz additive nonlinear uncertainty. It is also compared to the fractional-order proportional(FOP) observer and its performance is illustrated through simulations done on the fractional-order chaotic Lorenz system.
文摘Computational power density and interconnection between transistors have grown to be the dominant challenges for the continued scaling of complementary metal-oxide-semiconductor(CMOS)technology due to limited integration density and computing power.Herein,we designed a novel,hardware-efficient,interconnect-free microelectromechanical 7:3 compressor using three microbeam resonators.Each resonator is configured with seven equal-weighted inputs and multiple driven frequencies,thus defining the transformation rules for transmitting resonance frequency to binary outputs,performing summation operations,and displaying outputs in compact binary format.The device achieves low power consumption and excellent switching reliability even after 3 ×10^(3) repeated cycles.These performance improvements,including enhanced computational power capacity and hardware efficiency,are paramount for moderately downscaling devices.Finally,our proposed paradigm shift for circuit design provides an attractive alternative to traditional electronic digital computing and paves the way for multioperand programmable computing based on electromechanical systems.
