An Algebraic Multivariable Model Matching Controller without Solving Diophantine Equations

This paper proposes an algebraically formulated model matching control method for MIMO systems with varying dynamic characteristics. Whereas conventional model matching control requires the solution of computationally demanding Diophantine equations, the proposed method derives the control parameters algebraically in closed form using only matrix operations. This structural simplicity substantially reduces the design complexity and greatly facilitates implementation on resource‐constrained embedded platforms. Numerical simulations demonstrate that the proposed method achieves effective decoupling and superior tracking performance, despite its computational simplicity. © 2026 Institute of Electrical Engineers of Japan and Wiley Periodicals LLC.