Control of continuous-time systems with discrete jumps

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...

A Robust Control Design Technique for Discrete-Time Systems

A robust state feedback design subject to placement of the closed loop eigenvalues in a prescribed region of unit circle is presented. Quantitative measures of robustness and disturbance rejection are investigated. A stochastic optimization algorithm is used to effect trade-off between the free design parameters and to accomplish all the design criteria. A numerical example is given to illustra...

On the relationship between continuous- and discrete-time control systems

Building on previous results of the author this paper presents two new error estimates for the reachable set of an affine control system if only piece-wise constant admissible controls on a uniform mesh are used instead of all measurable admissible controls. It is natural to expect that the resulting " shrinkage " of the reachable set is of the order of the mesh size. In this paper it is proved...

Discrete-time Equivalents to Continuous-time Systems

H∞ Neural-Network-Based Discrete-Time Fuzzy Control of Continuous-Time Nonlinear Systems with Dither

This study presents an effective approach to stabilizing a continuous-time CT nonlinear system using dithers and a discrete-time DT fuzzy controller. A CT nonlinear system is first discretized to a DT nonlinear system. Then, a Neural-Network NN system is established to approximate a DT nonlinear system. Next, a Linear Difference Inclusion state-space representation is established for the dynami...