From Morse triangular form of ODE control systems to feedback canonical form of DAE control systems
| Autor: | Yahao Chen, Witold Respondek |
|---|---|
| Přispěvatelé: | Systems, Control and Applied Analysis |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Class (set theory)
Computer Networks and Communications Applied Mathematics Ode Systems and Control (eess.SY) Morse code Electrical Engineering and Systems Science - Systems and Control law.invention Triangular form Algebra Control and Systems Engineering law Optimization and Control (math.OC) Control system Ordinary differential equation Signal Processing FOS: Mathematics FOS: Electrical engineering electronic engineering information engineering 15A21 34A09 34H05 93C05 93C15 Canonical form Control (linguistics) Mathematics - Optimization and Control Mathematics |
| Zdroj: | Journal of the Franklin Institute, 358(16), 8556-8592. PERGAMON-ELSEVIER SCIENCE LTD |
| ISSN: | 0016-0032 |
| Popis: | In this paper, we relate the feedback canonical form \textbf{FNCF} of differential-algebraic control systems (DACSs) with the famous Morse canonical form \textbf{MCF} of ordinary differential equation control systems (ODECSs). First, a procedure called an explicitation (with driving variables) is proposed to connect the two above categories of control systems by attaching to a DACS a class of ODECSs with two kinds of inputs (the original control input $u$ and a vector of driving variables $v$). Then, we show that any ODECS with two kinds of inputs can be transformed into its extended \textbf{MCF} via two intermediate forms: the extended Morse triangular form and the extended Morse normal form. Next, we illustrate that the \textbf{FNCF} of a DACS and the extended \textbf{MCF} of the explicitation system have a perfect one-to-one correspondence. At last, an algorithm is proposed to transform a given DACS into its \textbf{FBCF} via the explicitation procedure and a numerical example is given to show the efficiency of the proposed algorithm. 35 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect