The motivation behind this paper is to seek alternative techniques to achieve a near optimal controller for non-linear systems without solving the analytical problem. In classical optimal control systems, the system states and optimization co-state parameters generate a two-point boundary value problem (TPBVP) using Pontryagin's minimum principle (PMP). The paper contributes a new fuzzy time-op...

The problem of time optimal feedback control of a single input, continuous time, linear time invariant (LTI) system is considered. The control input is constrained to obey |u(t)| ≤ 1. It is known that the solution to this problem is bang-bang with the input switching between the extreme values ±1 according to some “switching surfaces” in the state space. It is shown that for a class of LTI syst...

A new control method switching time computation STC method announced in Reference is described in detail for single input nonlinear systems and the mathematical reasoning behind it is explained A concatenation of constant input arcs is used to get from an initial point to the target and an optimization procedure is employed to nd the necessary time lengths of the arcs General di culties of the ...

This paper, the first of a series of two, deals with the determination of optimal steady-state jacket fluid temperature profiles for dispersive tubular chemical reactors, ranging from plug flow to perfectly mixed reactors. According to Pontryagin’s minimum principle, the optimal control is of the bang-bang type for the proposed terminal cost criterion. The bang-bang switching position is numeri...

We provide a rigorous analysis of the quantum optimal control problem in setting linear combination $s(t)B+(1-s(t))C$ two noncommuting Hamiltonians $B$ and $C$. This includes both annealing (QA) approximate optimization algorithm (QAOA). The target is to minimize energy final ``problem'' Hamiltonian $C$, for time-dependent bounded schedule $s(t)\in [0,1]$ $t\in \mc{I}:= [0,t_f]$. It was recentl...