Constrained stabilization problem and transient mismatch phenomenon in singularly perturbed systems

Oloomi, Hossein M.; Shafai, B.

doi:10.1080/002071797224199

Cited by 9 publications

(4 citation statements)

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“…In principle, it is possible and ever easy to apply a direct design method, namely to design a controller that stabilizes the systems and simultaneously forces the closed-loop systems to satisfy the constraint such that a special form of the constrained problems can be so formulated while the system state variables satisfy the equality constraints [13]. This technique for discrete-time has been introduced in [7] and was extensively used in the reconfigurable control design [10], [11].…”

Section: Introductionmentioning

confidence: 99%

Observer state feedback control of discrete-time systems with state equality constraints

Filasová¹,

Krokavec²

2010

Archives of Control Sciences

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Design conditions for existence of observer-based memory-less feedback control for stabilization of discrete-time systems with equality constraints given on the state variables are presented in the paper. These conditions are associated with eigenstructure assignment based on the singular value decomposition principle. The validity of the proposed method is demonstrated by a numerical example with the equality constraint tying together all state variables.

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Section: Introductionmentioning

confidence: 99%

Observer state feedback control of discrete-time systems with state equality constraints

Filasová¹,

Krokavec²

2010

Archives of Control Sciences

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“…Minimization of the controller gain norm has been addressed in recent years by many authors. 16–24 Optimization decision variables are the closed-loop poles; moreover, poles region constraint is used 14–16 to obtain desired transient response. In some studies, 25 the control objects have been mixed with each other to obtain a single objective, but multiobjective optimization gives better results.…”

Section: Introductionmentioning

confidence: 99%

Retrofiring control method via combination of a 1DoF gimbaled thrust vector control and spin-stabilization

Kouhi

Kabganian

Shahravi

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part G:

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In impulsive orbital maneuvers, thrust vector misalignment from the center of mass is the serious source of disturbance torque. A high capacity attitude control system is needed to compensate the mentioned large exogenous disturbance. In this paper a new retrofiring control method is proposed and studied which is based on the combination of a 1DoF gimbaled thrust vector control and spin-stabilization method. Spin-axis stabilization and disturbance rejection are considered as two important attitude control objectives. The nonlinear two-body dynamics of a small spacecraft is derived in which dynamical interaction between the nozzle and the body is significant. Reaction control system is not used and the only active control part is a 1DoF gimbal. The spacecraft design efficiency is very important; therefore, the H∞ performance and control gain norm are chosen as two conflicting cost function in the Pareto front multiobjective optimization. Many Pareto fronts are given for some ranges of two favorable parameters: (1) spin rate and (2) spin-axis moment of inertia. Optimization variables are the closed-loop system poles. Moreover, poles region constraint is employed to obtain a well-damped transient response. From the perspective of performance and design efficiency, the optimization results give many attractive outcomes. The resulting system is an efficient design for a small spacecraft. Furthermore, numerical simulations are included to confirm the optimization results and illustrate the superiority of the proposed method compared to the only spin-stabilization.

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“…In principle, it is possible to design the controller that stabilizes a system and simultaneously forces its closed-loop properties to satisfy given constraints [7,8]. Following the idea of linear quadratic (LQ) control application, these approaches heavily rely on set-valued calculus as well as on min-max theory [9,10], which are not simple and lead to rather cumbersome technical and numerical procedures.…”

Section: Introductionmentioning

confidence: 99%

Generalized Ratio Control of Discrete-Time Systems

Krokavec¹,

Filasová²

2017

Dynamical Systems - Analytical and Computational Techniques

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This chapter exposes the important connection between ratio control and the state control reflecting equality constraint for linear discrete-time systems, which allows significant reduction in computational complexity and efforts. Based on an enhanced bounded real lemma form, to outperform known approaches, the existence of the state feedback for such defined singular task is proven, and the design procedure based on the linear matrix inequalities is provided. The proposed principle, guaranteeing feasibility of the set of inequalities, improves steady-state accuracy of the ratio control and essentially reduces the design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated.

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Constrained stabilization problem and transient mismatch phenomenon in singularly perturbed systems

Cited by 9 publications

References 0 publications

Observer state feedback control of discrete-time systems with state equality constraints

Observer state feedback control of discrete-time systems with state equality constraints

Retrofiring control method via combination of a 1DoF gimbaled thrust vector control and spin-stabilization

Generalized Ratio Control of Discrete-Time Systems

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