Optimal control of inverted pendulum systems based on precise linearization theory

The difference between approximate linearization and precise linearization is analyzed.

To the optimal control problem of affine nonlinear system, based on differential geometry theory,feedback precise linearization was used.

Speed control of permanent magnet synchronous motor based on exact linearization via state variable feedback;

Study of exact linearization method for multi-machine power system excitation control problem;

Study of exact linearization method for power system excitation control problem;

A precision linearization method to achieve input-output linearization and decoupling control of permanent magnet synchronous motor based on stator flux model is presented.

Based on the nonlinear dynamic mathematical model, input-output linearization and decoupling control are achieved by using precision linearization theory.

Based on multi-machine nonlinear models, using state-feedback accurate linearization method and variable-structure control theory, this paper develops a new variable-structure excitation controller for multi-machine power system.

The simulation results have shown that the α-th order inverse system control strategy can realize accurate linearization for nonlinear mathematical model of the axial hybrid magnetic bearing,and the designed close control system has good dynamic and static performance.

Then a control algorithm was proposed to achieve the goal of decoupling and accurate linearization.

This paper considers the design method of terminal sliding mode control for a class of uncertain multivariable linear systems, then a new exponential terminal sliding hypersurface and control of nonlinear systems is proposed.