Abstract
Two different chaos synchronization methods are proposed for a class of energy resource demand supply-system with input constraint. Firstly, chaotic synchronization is achieved for a class of energy resource demand supply system with known system parameters based on the Lyapunov theory. Secondly, an adaptive control approach is investigated for a class of energy resource demand supply system with input constraint, and the parameters of the system are unknown based on the Lyapunov stability and robust adaptive theory. To address the input constraint, new auxiliary signals and design systems are employed. Numerical simulations are provided to illustrate the effectiveness of the proposed approach.
Highlights
Energy resource system is a kind of complex nonlinear system
The dynamics behaviors of the fourdimensional energy resource system have been analyzed by means of the Lyapunov exponents and bifurcation diagrams
Reference [4] investigated the robust chaos synchronization problem for the four-dimensional energy resource systems based on the sliding mode control technique
Summary
Energy resource system is a kind of complex nonlinear system. Energy resource including coal, petroleum, natural gas, water and electricity, and nuclear power can be classified as renewable energy and nonrenewable energy according to the capability of sustainable utilization. Reference [4] investigated the robust chaos synchronization problem for the four-dimensional energy resource systems based on the sliding mode control technique. Based on stability criterion of linear system and Lyapunov stability theory, respectively, the chaos synchronization problems for energy resource demand-supply system were discussed using two novel different control methods in [6]. Motivated by the above observations, two different chaos synchronization control methods are proposed for a class of energy resource demand-supply system with input constraint. The main contributions of the proposed algorithm are that (i) the problems of the input constraint are solved by employing a new auxiliary system; (ii) the stability of the energy resource demandsupply system is guaranteed based on the Lyapunov theory
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