zbMATH — the first resource for mathematics

Decentralized robust stabilization for an uncertain composite system with input saturation. (Chinese. English summary) Zbl 1058.93048
Summary: Sufficient conditions enabling an uncertain composite system with input saturation to stabilize its state feedback are obtained by the use of a decentralized robust linear-state feedback control. A new approach to the design of a decentralized robust controller is thus found on an input saturation basis. Giving the definitions of the saturation function and an M-matrix, the problem of how to get decentralized robust stabilization is proposed for composite systems. Then, based on M-matrix theory together with a Lyapunov equation, the problem is discussed by virtue of an algebraic Riccati equation. Simplified sufficient conditions are therefore offered for the decentralized robust stabilization of uncertain composite systems with input saturation, as well as for the decentralized robust feedback control law of the systems in special cases.
93D15 Stabilization of systems by feedback
93D09 Robust stability