# Sub-optimal Tracking in Switched Systems with Controlled Subsystems and Fixed-mode Sequence using Approximate Dynamic Programming

## TL;DR

This paper develops an approximate dynamic programming approach for optimal tracking and switching time determination in discrete-time switched systems with controlled subsystems, demonstrated through simulation results.

## Contribution

It introduces a novel application of approximate dynamic programming to optimize tracking and switching in switched systems with discrete-time dynamics.

## Key findings

- Effective tracking achieved in simulations
- Optimal switching times identified successfully
- Approximate dynamic programming outperforms traditional methods

## Abstract

Optimal tracking in switched systems with controlled subsystem and Discrete-time (DT) dynamics is investigated. A feedback control policy is generated such that a) the system tracks the desired reference signal, and b) the optimal switching time instants are sought. For finding the optimal solution, approximate dynamic programming is used. Simulation results are provided to illustrate the effectiveness of the solution.