Abstract
This paper considers a problem of controllability for a class of linear uncertain systems. The uncertain systems under consideration contain norm bounded time-varying uncertainty. The paper introduces a new notion of controllability referred to as feedback controllability. Roughly speaking, an uncertain system is feedback controllable if there exists a time varying linear state feedback control such that with any initial condition, the closed loop system state converges to zero in a finite time. The main result of the paper shows that if the uncertain system satisfies a certain matching condition then the system will be feedback controllable. This matching condition is also known to be a sufficient condition for the stabilizability of the uncertain system.
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© 1990 Birkhäuser Boston
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Petersen, I.R. (1990). The Matching Condition and Feedback Controllability of Uncertain Linear Systems. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_15
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DOI: https://doi.org/10.1007/978-1-4612-4484-4_15
Publisher Name: Birkhäuser Boston
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