Robust Control of a Thermal Unstable PDE System

Some distributed parameter systems with irrational transfer function can be written into an infinite factorized quotient for dynamic analysis and control design purposes. Hence, high accuracy approximate time solutions and frequency uncertainty bounds can be computed exactly, enabling early lumping in robust controller design. In this paper the focus is on finding a block factorization for a thermal unstable solid propellant rocket model, and design a near optimal robust finite dimensional controller.