[PDF] Top 20 A Behavioral Approach to the Control of Discrete Linear Repetitive Processes

... to control these processes using standard (or 1D) systems theory and algorithms fail in general precisely because such an approach ignores their in- herent 2D systems structure, ...for linear ... See full document

... of repetitive processes (which is not always present in other classes of 2D systems) is that it is possible to define physically meaningful control laws for ...of control laws is com- posed of ... See full document

... for discrete linear repetitive processes is asymptotic stability and indeed in some applications this is all that can be ...optimal control application never satisfies r(A) < 1 ...of ... See full document

... a control theory for these processes, it is natural to attempt to exploit structural links which exist between, in particular, the class of so-called discrete linear repetitive ... See full document

... a control law which uses the current pass state vector will, in general, require an observer to estimate the elements in this vector which are not directly measur- ...design control laws which only require ... See full document

... LMI approach can be applied to all relevant cases of the detailed dynamic structure of (unit and nonunit memory) discrete linear repetitive processes with dynamic boundary conditions, ... See full document

... sional linear systems, have a well defined interpretation in terms of exponential ...so-called discrete linear repetitive processes, which arise in the modelling and control ... See full document

... learning control there is clearly a trade-off between the rate at which the process converges to the learned signal and the dynamics produced along any pass (or trial in iterative learning control ...2D ... See full document

... ‘rich’ control theory for such processes exists [ ...of control scheme, the limit proŽ le is In the case of discrete linear repetitive processes, the reached on the Ž rst ... See full document

... INEAR repetitive processes are a distinct class of two-di- mensional (2-D) systems ...of repetitive processes include long-wall coal cutting and metal rolling operations (see, for example, ... See full document

... real control for two-dimensional (2-D) discrete systems described by the Roesser model and also discrete linear repetitive processes, which are another distinct sub-class of 2-D ... See full document

... 2D/nD linear systems share strong structural links with, in particular, standard (1D) linear systems, ...and discrete linear repetitive processes (see, for exam- ple, [8]) where ... See full document

... and control of discrete repetitive processes either assumes that once the state-space model is obtained it remains fixed for the complete duration of passes or (more recently) that it is ... See full document

... unique control problem for repetitive processes is that the output sequence of pass pro®les can contain oscillations that increase in amplitude in the pass to pass direction ...(SISO)) ... See full document

... to control these processes using standard, termed one-dimensional (1-D) here, systems theory/algorithms fail (except in a few very restrictive special cases) precisely because such an approach ... See full document

... to control these processes using standard, termed one-di- mensional (1-D) here, systems theory/algorithms fail (except in a few very restrictive special cases) precisely because such an approach ig- ... See full document

... sliding-mode control structure was first proposed in the ...sliding-mode control system utilizes a switching control law to drive the state of the concerned non-linear plant/system to a ... See full document

... to control these processes in the case of linear single-input single-output (SISO) dynamics focused on first ‘converting’ them into an equivalent standard, termed 1D here, process to enable the ... See full document

... for discrete time problems, strong Pontryagin principles cannot hold without an additional assumption namely a convexity condition, as Boltyanski shows in 12 for the finite horizon ... See full document

... Since it is hard to find exact solutions to DQP (due to the NP-hardness), one may compro- mise to consider high-quality approximate solutions that can be obtained in polynomial time. In practice, heuristic techniques ... See full document