Linear parameter-varying control: Difference between revisions

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'''Linear parametric parameter-varying control''' (LPV control). LPV systems are a very special class of nonlinear systems which appears to be well suited for control of dynamical systems with parameter variations. Before explaining about LPV control, it would be worth exploring the notion of [[gain scheduling]], its drawbacks and the need for an LPV method.

==Gain scheduling==

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Though the approach is simple and the computational burden of linearization scheduling approaches is often much less than for other nonlinear design approaches, its inherent drawbacks outweigh its advantages and necessitates a new paradigm for the control of dynamical systems. New methodologies such as Adaptive control based on [[Artificial neural networks|Artificial Neural Networks]] (ANN), [[Fuzzy logic]] etc try to address such problems, the lack of proof of stability and performance of such approaches over entire operating parameter regime requires design of a parameter dependent controller with guaranteed properties for which, a Linear Parameter Varying controller could be an ideal candidate.

==Linear parametric parameter-varying systems==

LPV systems are a very special class of nonlinear systems which appears to be well suited for control of dynamical systems with parameter variations. In general, LPV techniques provide a systematic design procedure for gain-scheduled multivariable controllers. This methodology allows performance, robustness and [[Bandwidth (signal processing)|bandwidth]] limitations to be incorporated into a unified framework.<ref>{{cite web|last=J. Balas|first=Gary|title=Linear Parametric Varying Control and its Applications to Aerospace Systems|url=http://www.icas.org/ICAS_ARCHIVE/ICAS2002/PAPERS/541.PDF|publisher=ICAS|accessdate=2002}}</ref><ref>{{cite web|last=Wu|first=Fen|title=Control of Linear Parameter Varying systems|url=http://www.mae.ncsu.edu/wu/paper/PhDthesis.ps|publisher=Univ. of California, Berkeley|accessdate=1995}}</ref> A brief introduction on the LPV systems and the explanation of terminologies are given below.