Dynamic Programming based Optimal Control of Discrete Time Switched Linear Systems

Augustine, Midhun T.; Patil, Deepak U.

doi:10.1109/anzcc47194.2019.8945793

Cited by 4 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In applications, there are many physical systems that can be modelled in this framework (see e.g. [1], [2]) and this system class has been attracting many researchers to study its properties such as stability [3], [4], [5] and control designs [6], [7], [8], [9], [10].…”

Section: Introductionmentioning

confidence: 99%

Reachability and Controllability Characterizations for Linear Switched Systems in Discrete Time: A Geometric Approach

Sutrisno,

Trenn

2023

2023 European Control Conference (ECC)

View full text Add to dashboard Cite

This article presents the reachability and controllability characterizations for discrete-time linear switched systems under a fixed and known switching signal. A geometric approach is used, and we are able to provide alternative conditions which are more computationally friendly compared to existing results by utilizing the solution formula at switching times. Furthermore, the proposed conditions make it easier to study the dependency of the reachability and controllability on the switching times and the mode sequences; this is a new result currently not investigated in the literature. Some academic examples are provided to illustrate the novel features found in this study.

show abstract

Section: Introductionmentioning

confidence: 99%

Reachability and Controllability Characterizations for Linear Switched Systems in Discrete Time: A Geometric Approach

Sutrisno,

Trenn

2023

2023 European Control Conference (ECC)

View full text Add to dashboard Cite

show abstract

“…This assumption means that (3.1) can be seen as a specially structured time-varying linear system, and there are many physical switched systems that can be modeled in that framework (see e.g. [39,40,41,42,43,44]) and this system class has been attracting many researchers to study its properties such as stability [45,46,47,48] and control designs [49,50,51,52,53].…”

Section: Part I Ordinary Linear Switched Systemsmentioning

confidence: 99%

Singular Switched Systems in Discrete Time: Solvability, Observability, and Reachability Notions

Sutrisno

View full text Add to dashboard Cite

invaluable assistance and encouragement from numerous individuals. Therefore, I would like to seize this chance to convey my heartfelt thanks, deep appreciation, and sincere gratitude to everyone who has inspired, supported, and assisted me throughout this endeavor.First, I would like to express my gratitude to my first supervisor Prof. Stephan Trenn. I thank him for his endless support, supervision, and guidance during my studies and for his patience in helping me to perfect my mathematical thinking skills. His feedback played a crucial role in enhancing and honing my research, and the findings presented in my thesis would have been unattainable without his guidance, direction, and supervision.Second, I would like to thank Prof. Bayu Jayawardhana, my second supervisor, for guiding me at various moments in these last four years. I also would like to thank him for inspiring me and enlightening my knowledge about nonlinear system analysis. The input he provided was instrumental in refining and improving my research, especially for those that are related to nonlinear parts, and the discoveries presented in my thesis would have been beyond reach without his advice and guidance.I would also like to express my gratitude to Prof. Do Duc Thuan, Prof. Nima Monshizadeh Naini, and Prof. Zhendong Sun for assessing my thesis and for providing me with valuable comments and suggestions to improve my thesis. Their feedback was of immense value in enhancing my thesis.Next, I would like to thank my colleagues in the SCO (formerly SCAA) research group, (current and former) professors, Postdocs, Guests, and PhD students:

show abstract

A Computationally Efficient LQR based Model Predictive Control Scheme for Discrete-Time Switched Linear Systems

Augustine

Patil

2021

2021 60th IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

Dynamic Programming based Optimal Control of Discrete Time Switched Linear Systems

Cited by 4 publications

References 9 publications

Reachability and Controllability Characterizations for Linear Switched Systems in Discrete Time: A Geometric Approach

Reachability and Controllability Characterizations for Linear Switched Systems in Discrete Time: A Geometric Approach

Singular Switched Systems in Discrete Time: Solvability, Observability, and Reachability Notions

A Computationally Efficient LQR based Model Predictive Control Scheme for Discrete-Time Switched Linear Systems

Contact Info

Product

Resources

About