Analytical design of robust stabilization for linear continuous systems with uncertain parameters

Abstract

An analytic approach to robust control of linear continuous systems with uncertain parameters is proposed. The robust stabilization problem for linear continuous systems is studied by means of a discrete-type Riccati equation, using the fact that the equation can be used analytically to place the closed-loop poles of linear continuous systems in a prescribed region. Hence, the design procedure is explicit and much simpler than previous methods. To ensure the physical realizability of feedback stabilization, an auxiliary control dynamics similar to the Luenberger state observer is introduced.<>