Research Article

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

Algorithm 2

(Controller design).
Step 1: choose in (9) such that Assumption 6 is satisfied.
Step 2: guess in (9) and (10) such that Assumption 5 is satisfied.
Step 3: solve using Algorithm 2.
Step 4: if exists, then , otherwise go back to Step 2, guess another , and repeat the process.