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An alternate heuristic approach to maintain the variables within their allowable bounds involves the use of cascade controllers.
In this paper, Wirtinger-based inequality combined with some free-weighting variables is used to estimate the allowable bounds of time delay and minimize the (H_{infty} ) performance.
The purpose is to show the bound of output can be adjusted by delay decomposition and to compare the allowable bounds of time delay h that guarantee the boundedness of the above system.
To keep the input and output variables within their allowable bounds, the use of cascade controllers, and to track the optimal set of active input constraints, the use of split-range controllers is suggested in literature.
Similar(56)
Moreover, the comparisons for maximum allowable upper bounds of discrete time-varying delays have been listed.
As a result, the proposed algorithm could successfully estimate the impact locations within the allowable error bounds.
Examples show the resulting criteria improve the allowable delay bounds over all existing ones in the literature.
Table 1 describes maximum allowable upper bounds of delays that guarantee the exponential stability of system (1).
Further, numerical examples with simulation result are given to show that the obtained result significantly improve the allowable upper bounds of delays over some existing results.
Our aim is to obtain the maximum allowable delay bounds (MADBs) of (tau_{2}) when (tau_{1}=1) with different μ for such system (56) to be asymptotically stable.
Table 1 shows the results of the maximum allowable delay bounds with various θ and fixed h m = d m = 0 for the above system.
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