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Robustness analysis and control for interval delta operator systems

Xiang Zheng

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Abstract

Robust stability analysis and synthesis of the interval delta operator systems are studied. A kind of equivalent description of the interval delta operator systems are presented. Sufficient condition ofrobuststabilityandthecorresponding controller design via state feedback for the interval delta operator systems are given by employing Lyapunov stability theory. The proposed method can unify some previous related results of the continuous and discrete interval systems into the delta framework.

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Robust stability analysis and synthesis of the interval delta operator systems are studied. A kind of equivalent description of the interval delta operator systems are presented. Sufficient condition ofrobuststabilityandthecorresponding controller design via state feedback for the interval delta operator systems are given by employing Lyapunov stability theory. The proposed method can unify some previous related results of the continuous and discrete interval systems into the delta framework.

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Available abstract

Robust stability analysis and synthesis of the interval delta operator systems are studied. A kind of equivalent description of the interval delta operator systems are presented. Sufficient condition ofrobuststabilityandthecorresponding controller design via state feedback for the interval delta operator systems are given by employing Lyapunov stability theory. The proposed method can unify some previous related results of the continuous and discrete interval systems into the delta framework.

Key concepts: Delta operator, Control theory (sociology), Robustness (evolution), Interval (graph theory), Mathematics, Operator (biology), Robust control, Lyapunov function

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