Finite-Time <math xmlns='http://www.w3.org/1998/Math/MathML' id='M1'> <msub> <mrow> <mi>H</mi> </mrow> <mrow> <mi>∞</mi> </mrow> </msub> </math> Control of Affine Nonlinear Singular Systems Subject to Actuator Saturation

This paper discusses the finite-time stable and finite-time H ∞ control problems of affine nonlinear singular systems subject to actuator saturation. Some sufficient conditions, to guarantee the system is finite-time stable, are established for the affine nonlinear singular systems subject to actuator saturation. First, the finite-time stable problem is investigated by the state undecomposed method, and then the finite-time robust H ∞ control law is presented for the system. Finally, the effectiveness of the designed controllers is shown by an example of a nonlinear singular circuit system in this paper.