NDLI: Variation based shooting method for the variable time impulsive system ontimizntion

Content Provider	IEEE Xplore Digital Library
Author	Xiaohua Wang Yao Huang Zhonghua Miao Hua Wang
Copyright Year	2013
Description	Author affiliation: Dept. of Autom., Shanghai Univ., Shanghai, China (Xiaohua Wang; Yao Huang; Zhonghua Miao; Hua Wang)
Abstract	This paper proposes a variation based shooting method to solve the variable time impulsive system optimization problem. For the variable time impulsive system optimization, the moments when the impulsive control happens (impulsive moments/impulsive time) are not fixed but a function of the states. Therefore, the impulsive time also needs to be optimized besides the controls. Through the study of the necessary conditions based on the variational calculus, a series of differential equations and a series of impulsive equations are to be satisfied with the boundary constraints, and the impulsive time can be implicitly decided using so called jump condition. This optimization problem is then converted to a two point boundary value(TPBV) problem. Considering both the differential equations and impulsive equations are involved in this TPBV problem, a variation based shooting method is proposed for numerical solutions. By mapping the variations of the final constraints into that of the initial constraints, the initial states and costates can be properly adjusted and the TPBV problem can be iteratively solved. Simulation examples are also presented for illustrative purpose.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	649
Ending Page	654
File Size	293542
Page Count	6
File Format	PDF
ISBN	9781467355339
e-ISBN	9781467355346
DOI	10.1109/CCDC.2013.6561004
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Impulsive System Optimal control Differential equations Linear programming Shooting Method Trajectory Mathematical model Necessary Conditions Equations Optimization
Content Type	Text
Resource Type	Article

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