Robust Finite-Time H∞ Control for Linear Time-Varying Descriptor Systems with Jumps

Abstract EN

The finite-time H∞ control problem is addressed for uncertain time-varying descriptor system with finite jumps and time-varying norm-bounded disturbance.

Firstly, a sufficient condition of finite-time boundedness for the abovementioned class of system is obtained.

Then the result is extended to finite-time H∞ for the system.

Based on the condition, state feedback controller is designed such that the closed-loop system is finite-time boundedness and satisfies L2 gain.

The conditions are given in terms of differential linear matrix inequalities (DLMIs) and linear matrix inequalities (LMIs), and such conditions require the solution of a feasibility problem involving DLMIs and LMIs, which can be solved by using existing linear algorithms.

Finally, a numerical example is given to illustrate the effectiveness of the method.