Mixed L<sup>∞</sup>/H<sub>∞</sub> suboptimal controllers for SISO continuous-time systems

Sznaier, Mario; Bianchini, Franco

doi:10.1109/tac.1995.7469037

Cited by 17 publications

(2 citation statements)

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“…The other approach is for C,/'H, control problem. In [13], a sequence of impulse response of a transfer function is divided into two parts: the first finite time interval and the following infinite time interval. Time domain performance C, is regulated in the former interval, and frequency domain performance 'Hw is compensated by the free parameters which correspond to the the latter interval of time domain.…”

Section: Introductionmentioning

confidence: 99%

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Multiobjective control for continuous time MIMO systems via deadbeat regulation

Tsumura

Nakanishi²,

Nobuyama³

Proceedings of the 36th IEEE Conference on Decision and Control

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In this paper, we extend the framework of continuous time deadbeat control, which is given by Nobuyama et al., to multi-constraints control in time and frequency domains for continuous time MIMO systems. Two conditions for the free parameter of 3-1, suboptimal controllers are shown, which correspond t o deadbeat control interpolation condition and 3-1, norm constraint. By restricting modified free parameters of 3-1, controllers t o commensurate time delay functions, we give all controllers which satisfy the two conditions simultaneously. Moreover, we show that time domain constraints of C2 or L1 norm are also reduced to finitedimensional convex problems and these mixed problems can be solved numerically.

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Section: Introductionmentioning

confidence: 99%

“…The corresponding norm constraints are also reduced to finite dimensional convex problems, and their mixed problems can be solved numerically. The advantage of this method is avoiding the conservative compensation for the infinite time interval such as [13].…”

Section: Introductionmentioning

confidence: 99%