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On Optimal Control of Non-Autonomous Switched Systems with a Fixed Mode Sequence
External Online Source: doi:10.1016/j.automatica.2012.03.019
Author and Affiliation:
Kamgarpour, Maryam(California Univ., Dept. of Mechanical Engineering, Berkeley, CA, United States);
Tomlin, Claire(California Univ., Dept. of Electrical Engineering and Computer Sciences, Berkeley, CA, United States)
Abstract: We consider differentiability with respect to the switch times of the value function of an optimal control problem for a non-autonomous switched system. The control variables are the switch times between the modes and the input in each mode. We provide a method to compute the derivative of the cost function given a nominal input. Then, we view the optimal control problem as a parametrized optimization problem in which the switch times are the parameters and the optimization is over the set of feasible inputs of each mode. From this point of view, we provide conditions under which the continuity and differentiability of the optimal value function, that is the cost function optimized over the inputs, can be guaranteed.
Publication Date: Jan 01, 2012
Document ID:
20130005730
(Acquired Jan 30, 2013)
Subject Category: MECHANICAL ENGINEERING
Document Type: Preprint
Publication Information: Automatica; Volume 48; Issue 6; 1177-1181
Contract/Grant/Task Num: FA9550-06-1-0312; NNA06CN24A
Financial Sponsor: NASA Ames Research Center; Moffett Field, CA, United States
Air Force Office of Scientific Research, Bolling AFB; Washington, DC, United States
Natural Sciences and Engineering Research Council; Ottawa, Ontario, Canada
Organization Source: California Univ.; Dept. of Electrical Engineering and Computer Sciences; Berkeley, CA, United States
Description: 5p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: APPROXIMATION; COST ANALYSIS; DYNAMICAL SYSTEMS; LINEAR QUADRATIC REGULATOR; MATHEMATICAL MODELS; MODES; NONLINEARITY; OPTIMAL CONTROL; OPTIMIZATION; SWITCHES; SWITCHING; TIME DEPENDENCE; VALUE ENGINEERING
Availability Source: Other Sources
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