LMI-based approach of robust control for uncertain distributed parameter control systems with time-delay
Yiping Luo, Deng Fei-qi · Control theory & applications · 2006
A new robust control method is put forward which is not similar to existing methods for the uncertain distributed parameter control systems with constant time-delay or varying time-delay.By constructing even-type Lyapunov functions,employing linear matrix inequality(LMI),a number of sufficient conditions for these types of stabilization are derived.For the case of constant time-delay,the obtained stabilization criteria are delay-independent.For the case of varying time-delay,the proposed stabilization criteria are delay-dependent.In addition,the distinct advantage of the proposed method is that the criteria can be easily checked.Finally,a computation example is given to illustrate the proposed method.