Proceedings ArticleDOI
Design of Optimal Control Systems with Stable Feedback
C. Ganesh,J.B. Pearson +1 more
- Iss: 23, pp 1969-1973
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A design algorithm has been developed to find an approximation whose deviation from a sub-optimal system lies within a pre-specified error bound.Abstract:
The problem of stabilizing a single-input single-output system using stable feedback is considered. The performance index that is minimized is the weighted sensitivity of the closed-loop system to external disturbances. However, the resulting feedback associated with the minimum value of the optimality criterion turns out to be irrational. A design algorithm has been developed to find an approximation whose deviation from a sub-optimal system lies within a pre-specified error bound.read more
Citations
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Journal ArticleDOI
Linear control theory with an H ∞ 0E optimality criterion
Bruce A. Francis,John Doyle +1 more
TL;DR: In this paper, the principal results in control theory in the context of continuous-time linear systems are discussed, but the focus is on the mathematical theory rather than computational methods, and not on computational methods.
Journal ArticleDOI
On the synthesis of stable /spl Hscr//sup /spl infin// controllers
M. Zeren,Hitay Özbay +1 more
TL;DR: A sufficient condition for the existence of a stable suboptimal /spl Hscr/sup /spl infin// controller of order 2n was derived in this paper, where n is the order of the generalized plant.
Journal ArticleDOI
Approximation of delay systems—a case study
TL;DR: In this article, a numerically well-behaved method for computing Hankel optima (CF) rational approximations for delay systems is presented based on certain properties of Hankel matrices and the theory of Laguerre polynomials.
Proceedings ArticleDOI
A general result on the stabilization of linear systems using bounded controls
TL;DR: Two constructions of controllers are presented that globally stabilize linear systems subject to control saturation, and essentially arbitrary saturations /spl sigma/, are used.
Journal ArticleDOI
Remarks on strong stabilization and stable H/sup /spl infin// controller design
Suat Gumussoy,Hitay Özbay +1 more
TL;DR: In this article, a state space based design method is given to find strongly stabilizing controllers for multiple-input-multiple-output plants (MIMO), and a sufficient condition is derived for the existence of suboptimal stable H/sup /spl infin// controller in terms of linear matrix inequalities (LMIs) and the controller order is twice that of the plant.
References
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Journal ArticleDOI
All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds†
TL;DR: In this paper, a complete characterization of all rational functions that minimize the Hankel-norm is derived, and the solution to the latter problem is via results on balanced realizations, all-pass functions and the inertia of matrices, all in terms of the solutions to Lyapunov equations.
Journal ArticleDOI
Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
TL;DR: In this article, the problem of sensitivity reduction by feedback is formulated as an optimization problem and separated from the problems of stabilization, and the feedback schemes obtainable from a given plant are parameterized.
Journal ArticleDOI
Internal model control. A unifying review and some new results
Carlos E. García,Manfred Morari +1 more
Journal ArticleDOI
Analytic properties of schmidt pairs for a hankel operator and the generalized schur-takagi problem
V M Adamjan,D. Z. Arov,M G Kreĭn +2 more
TL;DR: In this paper, a study of infinite Hankel matrices and approximation problems connected with them is presented, with a focus on the problem of finding the optimal solution to a given problem.