Generalized Pontryagin Maximum Principle in port-Hamiltonian Systems and Application

TL;DR

This paper extends the Pontryagin Maximum Principle to port-Hamiltonian systems with additional input/output terms, providing a generalized control framework and demonstrating its practical application through an example.

Contribution

It introduces a generalized PMP for port-Hamiltonian systems with extra inputs/outputs, including a proof, transformation method, and application example.

Findings

The generalized PMP is mathematically established.

The method is applicable to control systems with additional I/O.

An example demonstrates the method's feasibility.

Abstract

Based on Pontryagin Maximum Principle (PMP), this paper establishes a generalized PMP aiming at control system with with extra input/output terms. The paper details the adaptive target and gives a proof of the generalized theorem. Transformation and application of this specific method is showed and thereafter an example explained its feasibility.