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Output feedback control for Lur’e systems based on \(H_\infty\) sliding mode. (Output feedback control for Lurie systems based on \(H_\infty\) sliding mode.) (Chinese. English summary) Zbl 1289.93121

Summary: The paper studies the problem of output feedback sliding mode control and it’s \(H_\infty\) sliding mode control problem for uncertain Lurie systems. The reach ability of the designed switching surface is proved. Sufficient conditions are derived based on Lyapunov theory to guarantee the asymptotic stability of the closed-loop systems.

MSC:

93D20 Asymptotic stability in control theory
03D15 Complexity of computation (including implicit computational complexity)
93B36 \(H^\infty\)-control
93B12 Variable structure systems