Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems

Algorithm 1

(Observer design).

	Step 1: choose in (6) such that Assumption 4 is satisfied.
	Step 2: guess in (5) and (7) such that Assumption 3 is satisfied.
	Step 3: solve using Algorithm 1.
	Step 4: if does not exist, go back to Step 2 and guess another and repeat the process until exists. The observer structure for is given as in [13]: