LQ control of rectangular descriptor systems: Numerical algorithm and existence results | Zendy

Stefanovski Jovan | Zendy

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LQ control of rectangular descriptor systems: Numerical algorithm and existence results

Author(s) -

Stefanovski Jovan

Publication year - 2010

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.950

Subject(s) - controllability , observability , impulse (physics) , mathematics , control theory (sociology) , algorithm , impulse control , control (management) , computer science , artificial intelligence , psychology , physics , quantum mechanics , psychotherapist

We present a structure‐preserving numerical algorithm, based on using orthogonal matrices, and sufficient conditions for LQ control of rectangular descriptor systems. The sufficient conditions are quite general: stabilizability, impulse controllability, generalizations of detectability and impulse observability. The solution in the case of wide descriptor system differs from the solution of tall descriptor system. Copyright © 2010 John Wiley & Sons, Ltd.

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