典型文献
Strong observability as a sufficient condition for non-singularity and lossless convexification in optimal control with mixed constraints
文献摘要：
This paper analyzes optimal control problems with linear time-varying dynamics defined on a smooth manifold in addition to mixed constraints and pure control constraints.The main contribution is the identification of sufficient conditions for the optimal controls to be non-singular,which enables exact(or lossless)convex relaxations of the control constraints.The problem is analyzed in a geometric framework using a recent maximum principle on manifolds,and it is shown that strong observability of the dual system on the cotangent space is the key condition.Two minimum time problems are analyzed and solved.A minimum fuel planetary descent problem is then analyzed and relaxed to a convex form.Convexity enables its efficient solution in less than one second without any initial guess.
文献关键词：
中图分类号：
作者姓名：
Sheril Kunhippurayil;Matthew W.Harris
作者机构：
Torc Robotics,Inc.,405 Partnership Drive,Blacksburg 24060,Virginia,USA;Department of Mechanical and Aerospace Engineering,Utah State University,4130 Old Main Hill,Logan 84322,Utah,USA
文献出处：
引用格式：
[1]Sheril Kunhippurayil;Matthew W.Harris-.Strong observability as a sufficient condition for non-singularity and lossless convexification in optimal control with mixed constraints)[J].控制理论与技术（英文版）,2022(04):475-487
A类：
convexification,cotangent
B类：
Strong,observability,as,sufficient,singularity,lossless,optimal,mixed,constraints,This,paper,analyzes,problems,linear,varying,dynamics,defined,smooth,addition,pure,main,contribution,identification,conditions,controls,be,which,enables,exact,relaxations,analyzed,geometric,framework,using,recent,maximum,principle,manifolds,shown,that,strong,dual,system,space,key,Two,minimum,are,solved,fuel,planetary,descent,then,relaxed,form,Convexity,its,efficient,solution,than,one,second,without,any,initial,guess
AB值：
0.557775
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