Optimal control of switched systems with time delay

Optimal Control for Switched Delay Systems

Based on the calculus of variation, an optimal switching control problem for switched autonomous systems with time-delay is studied. The switching times in a sequence of fixed vector fields are the sole control variables and the subsystems do not require a refractory period, which can bring more generality. The analytic expressions for the partial derivatives of the given performance cost with ...

Optimal Control for Switched Point Delay Systems with Refractory Period

The problem of optimal switching of a multi-mode time delay system is considered. The class of multi-mode systems consists of systems where the control variables are the switching times in a sequence of fixed vector fields. We assume that the systems considered all have a refractory period, in the sense that once an action is taken, it takes a non-infinitesimal amount of time before a subsequen...

Tracking Control for Switched Linear Systems with Time-Delay

∗ Key Lab of Process Industry Automation of Ministry of Education; School of Information Science and Engineering, Northeastern University, Shenyang, 110004, P. R. China (e-mail: [email protected]; [email protected]). ∗∗ Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia ∗∗∗ Departmen...

Robust H∞ Control for Linear Switched Systems with Time Delay

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...