Design of SPR systems with dynamic compensators and output variable structure control
Nenhuma Miniatura disponível
Data
2006-12-22
Autores
Teixeira, Marcelo C.M. [UNESP]
Covacic, Márcio R. [UNESP]
Assunção, Edvaldo [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
This paper presents necessary and sufficient conditions for the following problem: given a linear time invariant plant G(s) = N(s)D(s)-1 = C(sI - A]-1B, with m inputs, p outputs, p > m, rank(C) = p, rank(B) = rank(CB) = m, £nd a tandem dynamic controller Gc(s) = D c(s)-1Nc(s) = Cc(sI - A c)-1Bc + Dc, with p inputs and m outputs and a constant output feedback matrix Ko ε ℝm×p such that the feedback system is Strictly Positive Real (SPR). It is shown that this problem has solution if and only if all transmission zeros of the plant have negative real parts. When there exists solution, the proposed method firstly obtains Gc(s) in order to all transmission zeros of Gc(s)G(s) present negative real parts and then Ko is found as the solution of some Linear Matrix Inequalities (LMIs). Then, taking into account this result, a new LMI based design for output Variable Structure Control (VSC) of uncertain dynamic plants is presented. The method can consider the following design specifications: matched disturbances or nonlinearities of the plant, output constraints, decay rate and matched and nonmatched plant uncertainties. © 2006 IEEE.
Descrição
Palavras-chave
Dynamic programming, Feedback control, Matrix algebra, Problem solving, Specifications, Linear Matrix Inequalities (LMI), Strictly Positive Real (SPR), Variable Structure Control (VSC), Linear systems
Como citar
Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06, v. 2006, p. 328-333.