Journal ArticleDOI
On the discrete linear quadratic minimum-time problem
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In this paper, the minimum-time and the control which minimizes the cost function and leads the system from a given initial state to a fixed final one are compared. But the minimum time and the optimal control are not compared.Abstract:
E. I. Verriest and F. L. Lewis have presented in (1) a new method to approximate the minimum-time control of linear continuous-time systems avoiding the Bang-Bang control. Their method relied on the optimization of a cost including time energy and precision terms. Our purpose in this article is to extend their work to discrete-time linear systems. Indeed, we consider a linear discrete-time system and a quadratic cost including time and energy term, and we look for the minimum-time and the control which minimizes the cost function and leads the system from a given initial state to a fixed final one. By selecting the magnitude of the energy term, one may balance off the requirement for minimum-time versus the one for keeping the state and inputs small over the considered interval of time. Finally we give a method to compute the minimum-time and the optimal control.read more
Citations
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Journal ArticleDOI
Optimal battery charging, Part I: Minimizing time-to-charge, energy loss, and temperature rise for OCV-resistance battery model
A. Abdollahi,Xu Han,G.V. Avvari,N. Raghunathan,Balakumar Balasingam,Krishna R. Pattipati,Yaakov Bar-Shalom +6 more
TL;DR: In this paper, a closed-form solution to the problem of optimally charging a Li-ion battery is presented, where a combination of three cost functions is considered as the objective function: time-to-charge, energy losses, and temperature rise index (TRI).
Proceedings ArticleDOI
Minimum-time/energy output-transitions in linear systems
D. Iamratanakul,Santosh Devasia +1 more
TL;DR: In this paper, the output transition problem is formulated as a linear quadratic minimum-time (LQMT) optimal control problem, which avoids bang-bang controllers that result from solving the traditional time-optimal problem.
Proceedings ArticleDOI
Battery charging optimization for OCV-resistance equivalent circuit model
A. Abdollahi,N. Raghunathan,Xu Han,G.V. Avvari,Balakumar Balasingam,Krishna R. Pattipati,Yaakov Bar-Shalom +6 more
TL;DR: A closed-form solution to the problem of optimally charging a Li-ion battery as a combination of two cost functions: time-to-charge (TTC) and energy losses (EL).
Journal ArticleDOI
Minimum-Time/Energy, Output Transitions for Dual-Stage Systems
D. Iamratanakul,Santosh Devasia +1 more
TL;DR: In this paper, the optimal trajectory design for changing the output from one value y to another y within a finite time interval [0, t f ] called the output-transition time interval is addressed.
Journal ArticleDOI
Linear quadratic control problem with a terminal convex constraint for discrete-time distributed systems
TL;DR: It is shown that the resolution of the considered problem is equivalent to that of a controllability, one so-called Extended Exact Controllability with time-varying operators, and the Hilbert uniqueness method approach is extended to this case to provide an explicit form for the optimal control.
References
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Journal Article
Quadratic cost control of discrete bilinear systems
Noureddine El Alami,Zohra Loutfi +1 more