Input-output block decoupling of linear time-varying singular systems

The input-output block decoupling problem by state feedback is studied for linear time-varying singular systems. First, an algorithm, the regularizati on algorithm, is developed such that the system can be made by state feedba ck to have a unique impulse free solution. Second, another algorithm, the b lock decoupling algorithm, is proposed, which provides sufficient condition s for the solvability of the input-output block decoupling problem. Then, a decoupling feedback law is constructed such that the corresponding closed- loop system is regular, impulse-free, and noninteractive. Finally, an examp le is given to illustrate the applicability of the algorithms.