Optimal closed-loop control of timed EventGraphs in dioids

Multivariable Control of Discrete Event Systems in Dioids

Timed event graphs are described in dioids by a linear state-space or transfer function model. This paper proposes a state feedback control under complete control and observation of the states. By using a model reference control approach, the closed-loop transfer function matches the control specification expressed as a given transfer function. It is shown that under certain conditions an optim...

Time Optimal Closed - Loop Fuzzy - Control Strategy for Nonlinear Lunar Lander Mission

Optimal Finite-time Control of Positive Linear Discrete-time Systems

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

Robust controller design for timed event graphs in dioids

This paper deals with feedback controller synthesis for timed event graphs in dioids, where the number of initial tokens and time delays are only known to belong to intervals. The synthesis presented here is mainly based on dioid, interval analysis and residuation theory. keyword Discrete-event systems ; Timed event graphs ; Dioid ; Interval analysis ; Residuation theory ; Feedback synthesis

A New Near Optimal High Gain Controller For The Non-Minimum Phase Affine Nonlinear Systems

In this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. This controller is derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. This methodology employs an algebraic equation with parametric coefficients for the systems with s...