This paper studies the design of fault tolerant control systems (FTCSs) by considering random faults and two categories of design objectives. The FTCSs are modeled in a stochastic framework, resulting from the random ...
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This paper studies the design of fault tolerant control systems (FTCSs) by considering random faults and two categories of design objectives. The FTCSs are modeled in a stochastic framework, resulting from the random fault process. The design objectives include a stability requirement and a probabilistic performance index. Such an index is chosen as a reliability-related criterion, which can be evaluated from a numerical procedure only but lacks analytical expressions. A parameterization procedure together with a randomization-based optimization method is developed to find a statistically optimal controller that can stabilize the system and achieve the highest reliability.
This paper presents a simplified parameterization of all H-infinity static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and suffi...
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This paper presents a simplified parameterization of all H-infinity static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an static output-feedback gain are given. An efficient computational algorithm is given and its correctness proven. No initial stabilizing output-feedback gain is needed. The technique is used to design an H-infinity lateral-directional command augmentation system for the F-16 aircraft. (C) 2007 Elsevier Ltd. All rights reserved.
In this paper, we aim to obtain the optimal LQG controller under degree and robustness constraints. This is a mixed control problem of finding the full-order controller to provide the best nominal transient performanc...
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ISBN:
(纸本)9787810778022
In this paper, we aim to obtain the optimal LQG controller under degree and robustness constraints. This is a mixed control problem of finding the full-order controller to provide the best nominal transient performance subject to a robust stability bound. Firstly, the set of desired controllers that meet both the degree and robust stability constraints are characterized over a convex set. Then, we carry out optimization in the convex parameter set for the controller that gives optimal transient performance. Examples and observations are presented, and comparisons with other approaches show that our approach excels.
This paper derives a parameterization of the set of all stabilizing controllers for a given plant which leaves some prespecified closed-loop transfer function fixed. This result is motivated by the need to independent...
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This paper derives a parameterization of the set of all stabilizing controllers for a given plant which leaves some prespecified closed-loop transfer function fixed. This result is motivated by the need to independently shape several different disturbance transmission paths in vehicle active suspension control. The result is studied in the context of quarter-, half-, and full-car vehicle models, to derive appropriate controller structures. A controller design is carried out for the full-car case and simulated with a nonlinear vehicle dynamics model.
Doubly coprime factorization plays an important role in dealing with multivariable control problems using a factorization approach. In this study, based on an arbitrary and properly stabilizing controller, a general f...
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Doubly coprime factorization plays an important role in dealing with multivariable control problems using a factorization approach. In this study, based on an arbitrary and properly stabilizing controller, a general formula of doubly coprime factorization is obtained for use in descriptor systems. Detailed results have been derived on bridging the factorization approaches previously available in the literature. (C) 2003 Elsevier Science B.V. All rights reserved.
In this paper, we consider the full information and the state feedback H-2 control problems for continuous-time descriptor systems. An explicit characterization of all optimal controllers is given for these cases. As ...
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In this paper, we consider the full information and the state feedback H-2 control problems for continuous-time descriptor systems. An explicit characterization of all optimal controllers is given for these cases. As a consequence, we are able to present a parameterization of all optimal static and dynamic controllers for the LQR problem via state. feedback. We also show that, for the general state feedback H-2 optimization, the usual gain matrix defined as a linear function of a solution of a generalized Riccati equation can be non-optimal. (C) 2002 Elsevier Science Ltd. All rights reserved.
Optimal damping of harmonic disturbances of known frequencies is studied for sampled-data systems. A sampled-data output feedback controller is designed to minimize the intersample variations of the controlled variabl...
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Optimal damping of harmonic disturbances of known frequencies is studied for sampled-data systems. A sampled-data output feedback controller is designed to minimize the intersample variations of the controlled variable. The set of all stabilizing optimal controllers is obtained in terms of the Youla parameterization and a set of interpolation conditions at the disturbance frequencies, which ensure that the stationary cost is minimized. (C) 2002 Elsevier Science Ltd. All rights reserved.
This note first points out that the main results by Wang and Balas regarding the doubly coprime fractional representations for generalized dynamical systems have severe limitation in their applications, that is, the d...
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This note first points out that the main results by Wang and Balas regarding the doubly coprime fractional representations for generalized dynamical systems have severe limitation in their applications, that is, the doubly coprime factorization obtained by Wang and Balas cannot characterize the parameterization of all properly stabilizing controllers when a system is singular, therefore, truly generalized. To remedy those results, two new doubly coprime factorizations have been developed here that will parameterize all properly stabilizing controllers for single-input or single-output cases. In addition, the new results can characterize the parameterization of all corresponding causal properly stabilizing controllers. Finally, the extension to the multiple-input-multiple-output case is presented.
The prime objective of the paper is to extend the conventional algebraic control system design from rational to the meromorphic functions. By adopting a Youla-like affine parameterization and by introducing the ring o...
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The prime objective of the paper is to extend the conventional algebraic control system design from rational to the meromorphic functions. By adopting a Youla-like affine parameterization and by introducing the ring of retarded quasi-polynomial meromorphic functions the algebraic approach is opened to the design of linear time delay control systems. Particularly the issues of parameterized set of stabilizing controllers and their causality and disturbance rejection are the main points addressed in the paper.
This paper presents a numerical approach for designing stable MIMO H ∞ and H 2 controllers. The proposed technique searches for a norm constrained stable transfer matrix Q in the H ∞ and H 2 suboptimal controller pa...
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This paper presents a numerical approach for designing stable MIMO H ∞ and H 2 controllers. The proposed technique searches for a norm constrained stable transfer matrix Q in the H ∞ and H 2 suboptimal controller parameterizations so that the final controllers are stable. The norm constrained Q's are explicitly parameterized for any fixed order and the H 2 and H ∞ strong stabilization problems are then converted to nonlinear constrained optimization problems. A numerical search is carried out by a two-stage optimization scheme in order to reach an optimal solution. Examples show the performance improvements of these algorithms over methods already presented in the literature.
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