State Feedback H∞ Control of Power Units Based on an Improved Particle Swarm Optimization

Abstract EN

A new state feedback H∞ control scheme is presented used in the boiler-turbine power units based on an improved particle swarm optimizing algorithm.

Firstly, the nonlinear system is transformed into a linear time-varying system; then the H∞ control problem is transformed into the solution of a Riccati equation.

The control effect of H∞ controller depends on the selection of matrix P, so an improved particle swarm optimizing (PSO) algorithm by introducing differential evolution algorithm is used to solve the Riccati equation.

The main purpose is that mutation and crossover are introduced for a new population, and the population diversity is improved.

It is beneficial to eliminate stagnation caused by premature convergence, and the algorithm convergence rate is improved.

Finally, the real-time optimizing of the controller parameters is realized.

Theoretical analysis and simulation results show that a state feedback H∞ controller can be obtained, which can ensure asymptotic stability of the system, and the double objectives of stabilizing system and suppressing the disturbance are got.

The system can work well over a large range working point.