The optimal controller design for uncertain chaotic systems based on quadratic performance index

The issue of optimal controller design which is based on exact linearization of state feedback in the uncertain and chaotic systems with external disturbances is researched. First, based on the mature quadratic optimal control theory, the nonlinear chaotic system model with disturbance is converted to an equivalent linear system model without disturbance. Second, an optimal controller design method based on quadratic performance index is given which aims at pseudo-linear-system. The optimal control rate is shown after equation solution, and then the nonlinear chaotic system is changed into an equivalent linear system with Lie derivative transformation which makes the project simple and easily realized. With the simulation for parameter uncertainty in Liu chaotic systems, the result shows that the control quality has been greatly improved.