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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
This paper introduces impulsive gain error result from mechanical limitation or device restriction in practical application. Our new impulsive control method includes control gain error with an acceptable boundary is more practically applicable than previous existing impulsive analytical approaches. A sufficient criterion for global exponential stability of impulsive control system is derived without the need for precise impulsive gain by estimating impulsive differential inequality. The effectiveness of the proposed method is confirmed by theoretical analysis and numerical simulation.
Keywords:Impulsive control; Impulsive gain error; Exponential stability; Impulsive differential inequality