Abstract Research on switchable chaotic systems with a large range of parameters is scarce. To explore the characteristics such systems, this paper proposes new methods by modifying nonlinear term in system, resulting system different terms. The unknown exhibit numerical relationships under various combined conditions, and some may tend towards positive infinity. chaos are verified applying specific switching method to unified system. pseudo-randomness random sequence generated dissipative...

Simple formal chaotic systems that exhibit complex behaviors continue to garner significant attention. This paper introduces a three-dimensional (3D) conservative system rooted in generalized Hamiltonian forms. The system's dynamics are comprehensively analyzed employing Lyapunov exponents, phase diagrams, and Poincaré map, demonstrating its capability transition between periodic states. Through alterations parameters initial values, the coexistence of multiple stable states within is...

Microbial fuel cells (MFCs) have been receiving more and attention in simultaneous treatment of wastewater energy recovery. Past research has mainly experiments. Modelling controlling are new subjects emerging recently. A novel dynamic model MFC based on biochemical reactions, Butler–Volmer expressions mass/charge balances is proposed with Matlab/Simulink, then the fuzzy PID controller designed for microbial cell to realize constant voltage output. Simulation results show that can give...

Unlike dissipative systems, conservative systems do not have attractors and no attractor reconstruction occurs. Therefore, these are more suitable for application in image encryption. On the basis of above appoints, here we develop propose a system with infinite chaotic-like attractors. The chaotic characteristics coexistence studied using Lyapunov exponents, Poincare maps, numerical simulation. results show that has complex structure dynamic behaviour than traditional ones. Additionally,...

An newly-developed four-dimensional chaotic system is proposed to address the complex systems required for image encryption and secure communication. Based on three-dimensional constructed by YANG CHENG, fourth dimension added obtain new system. The dynamic analysis of carried out using bifurcation diagrams Lyapunov exponent spectra, which indicates existence characteristics over a large parameter range. By changing initial values system, coexistence various attractors such as periodic with...

A new chaotic system is obtained by changing the number of unknown parameters. The dynamical behavior investigated exponential change single parameter and state variable in nonlinear term system. structure newly constructed explored. When same variables varies, system's dynamic undergoes complex changes. Moreover, with a single-state three-dimensional system, maintains attractor while On this basis, Lyapunov exponent, bifurcation diagram, complexity, 0-1 test are used to compare analyze...

An adaptive hierarchical sliding-mode control (AHSMC) strategy for a class of second-order underactuated systems is presented. First, the whole system divided into two subsystems. A first-level sliding surface defined each subsystem. Then second-level these two-level surfaces. The AHSMC law derived in Lyapunov sense when uncertainties are bounded by an unknown constant. Therefore, can be drive to its and stable. Finally simulation results show validity proposed method.

In this paper, we propose an output feedback variable structure control for discrete-time systems with uncertainties and time-delay. The doesnpsilat need full observability. An asymptotically stable sliding surface is designed by means of linear matrix inequality (LMI). can compensate the effect mismatched parameter in system state. A robust mode controller to ensure existence a overcome time delay system. For class slowly varying system, proposed regards influence as equivalent disturbance...

Under the existence of system uncertainties and external disturbances, complete synchronization anti-synchronization between two identical or different hyperchaotic systems are investigated in paper. Firstly, an active control is used to eliminate nonlinear part error. Then sliding mode controller designed based on suitable surface. After that adaptive updating law estate bound disturbances under combination control. The structure master slave has no restrictive assumption about external....

Fuel cell powered systems have low voltage and high current output characteristics. Therefore, the of fuel must be stepped up by DC-DC converter. In this paper an integrated mathematical model for proton exchange membrane power system with converter is described analyzing working mechanism boost Fuzzy sliding mode control scheme proposed to realize stable under different loads. Simulation operations are carried out results compared fuzzy control. It shown that use controller can achieve good...

Abstract In order to investigate the potential application of conservative hyperchaotic systems in secure communication and image encryption, a novel five-dimensional Hamiltonian system was developed based on Euler equation theory. Subsequently, system’s dynamic behaviors, including energy conservation, phase volume symmetrical Lyapunov exponent about 0, were analyzed through analysis, numerical simulation. The results revealed that new exhibits strong characteristics within wide range...

The robust <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">H</i> <sub xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> filtering problem of GPS/INS integrated navigation system with steady-state error variance constrains is considered in this paper. aim to design a filter which ensures both the robustly asymptotic stability for dynamic and prescribed level performance. sufficient condition existence derived. An LMI method designing given by...

The problem of robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> filtering for uncertain time-delay systems under sampled measurements is concerned, both continuous and discrete disturbance are considered in the system. parameter uncertainties here real time-varying norm-bounded. aim to design a stable filter, using measurements, which ensure stability prescribed level performance continuous-time context, irrespective unknown...