Stability Analysis for Linear Repetitive ProcessesSpringer Berlin Heidelberg, 1992 - 197 Industrial processes such as long-wall coal cutting and me- tal rolling, together with certain areas of 2D signal and image processing, exhibit a repetitive, or multipass struc- ture characterized by a series of sweeps of passes through a known set of dynamics. The output, or pass profile, produced on each pass explicitly contributes to that produced on the text. This interpass interaction can lead to the growth of oscillations, and hence a form of instability, in the se- quence of pass profiles which require control strategies that explicitly incorporate the essential repetitive struc- ture of the process in their decision making. This monograph is unique in developing the new techniques necessary for sy- stematic control systems design in the form of a stability theory and computationally feasible stability tests based on finite simulations and polynomial analysis. Its development requires a basic knowledge of linear frequency domain and state-space theory and a knowledge of basic functional ana- lysis would be beneficial. The text is aimed at researchers in the area of control and systems theory and should also be of interest to those working in the related area of signal and image processing. |
Inne wydania - Wyświetl wszystko
Stability Analysis for Linear Repetitive Processes Eric Thomas Alexander Rogers,David H. Owens Widok fragmentu - 1992 |
Stability Analysis for Linear Repetitive Processes Eric Rogers,David H. Owens Podgląd niedostępny - 2014 |
Kluczowe wyrazy i wyrażenia
2D linear systems 2D Lyapunov equation 2D transfer-function matrix algorithms application associated conventional linear asymptotic stability BIBO stability bk+1 characteristic polynomial cited reference closed-loop stability coefficients companion matrix complex plane computationally feasible condition for stability consider conventional linear systems corollary D₁ defined delay differential systems denotes differential and discrete discrete non-unit memory dynamics eigenvalues equivalent exists extended linear repetitive feedback control scheme following result follows immediately Further G₁(s holds interpass smoothing lemma limit profile linear repetitive process memory linear repetitive memoryless model of example modulus strictly less natural generalisation necessary and sufficient non-unit memory linear Note particular pass profile polynomial positive definite previous pass problem process of example Proof Re{s real scalar repetitive systems Roesser model Rogers and Owens S(EWL SISO stability margins stability tests stability theory state-space model step response sufficient condition Suppose symmetric matrix theorem unit circle University of Strathclyde yields z₁
