Anti-windup strategy with guaranteed stability for linear systems with amplitude and dynamics restricted actuator

Tarbouriech, Sophie; García, Germain; Langouet, P.

doi:10.1016/s1474-6670(17)31372-1

Cited by 8 publications

(11 citation statements)

References 12 publications

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“…The notion of contractive sets is basic for determining regions of asymptotic stability for the saturating closed-loop system (11). The following definition of contractivity is adapted to consider both the parameter uncertainties and the sector bounded characterization of nonlinearity ϕ(.…”

Section: Preliminariesmentioning

confidence: 99%

“…Besides the classical issue of stability analysis and stabilization of systems with saturated input [2][3][4], several approaches have been proposed to cope with controller performances, like disturbance attenuation [5][6][7] or using a representation as the feedback interconnection of a linear system with a sector bounded nonlinearity. This last option has been received attention with de proposal of new design tools [4,[8][9][10] and, in particular, by considering the control saturations (see for instance [11][12][13][14][15][16]). …”

Section: Introductionmentioning

confidence: 99%

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Gain-scheduled output control design for a class of discrete-time nonlinear systems with saturating actuators

Jungers

Castelan²

2011

Systems & Control Letters

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This manuscript deals with the stabilization of a class of nonlinear discrete-time systems under control saturations including time-varying parameter dependency.The studied control law consists of the gain scheduled feedback of the measured output and of the nonlinearity present in the dynamics of the controlled system. Furthermore the saturations are taken into account by modeling the nonlinear saturated system through a deadzone nonlinearity satisfying a modified sector condition.Thus, as for precisely known systems, LMI stabilization conditions are proposed for such a generic system. These conditions can be cast into convex programming problems for design purposes. An illustrative example stresses out the efficiency of the main result.

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Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gain-scheduled output control design for a class of discrete-time nonlinear systems with saturating actuators

Jungers

Castelan²

2011

Systems & Control Letters

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“…The reduction of the time spent in tuning the control law is obtained via the development of automatic procedures while keeping connection with physics. The group includes academic research partners: LAAS-CNRS (government research center) [1], [2], [17], ONERA (French aerospace research center) [20], [8], Supaero, [21], [22], Supelec [4], [5] (engineering schools) and an industrial partner: EADS ST (Space Transportation) [10].…”

Section: The Working Group Pirolamentioning

confidence: 99%

Multi-objective H2/H∞/Impulse-to-Peak Control of a Space Launch Vehicle

Arzelier

Clément

Peaucelle

2006

European Journal of Control

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A multi-objective synthesis problem involving H 2 , H ∞ and impulse-to-peak performances is investigated. In general, multi-objective control problems are hard problems to solve and do not have exact solutions. Here, an LMI formulation is proposed for the mixed H 2 /impulseto-peak optimization under an H ∞ constraint for LTI discrete-time systems. This framework is then used to control the attitude of a space launcher. A particular control structure is defined and a multi-objective H 2 /H ∞ /impulse-to-peak synthesis problem is solved to tackle specific specifications. A systematic synthesis procedure including the tuning of design parameters is defined and results from simulations are presented..

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“…: there exists a symmetric positive definite earities is a classical problem that dates back the sixties [1]. matrix Q = Q' C JiPXP such that Even so, this problem continues to receive attention, with the VZ e Jip proposal of new design tools [2], [3], and in particular, by (p'(Zk)A[(P(Zk) -Qzkl < 0 p(0) = 0 (2) considering the control saturations [4], [5], [6].…”

Section: Introductionmentioning

confidence: 99%

“…In the sequel, we will see how Lemma 1 may be applied [ 4 ] by considering an adequate vector w. Before, an appropriate model for the closed-loop system is obtained. Thus, by con-I 0 -3 04 sidering system (1), the control law (5) and the dead-zone *.X=3 |1* nonlinearity (7), the closed-loop can be rewritten as:…”

Section: Introductionmentioning

confidence: 99%

Absolute stabilization of discrete-time systems with a sector bounded nonlinearity under control saturations

Castelan

Moreno

Pieri

2006 IEEE International Symposium on Circuits and Systems

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This paper presents some results on absolute sta-x(j), Vi = 1,... n. Inequalities between vectors are componentbilization of nonlinear discrete-time systems under control sat-wise: x < 0 means that x(,) < 0 and x < y means that x(j) -y(i) < urations. The studied control law consists of the feedback of 0. I, denotes the n x n identity matrix.both the states and of the nonlinearity present in the dynamics of the controlled system. Saturations are taken into account II. PROBLEM PRESENTATION by modelling the nonlinear saturated system through deadzone nonlinearities satisfying a modified sector condition. Thus, as for Consider a nonlinear discrete-time system represented by: continuous-time systems, LMI absolute stabilization conditions are proposed for the design of the feedback gains, both in the Xk Axk+G(Zk)+Bsat(uk) (1) local and global stability contexts. Some relations of the proposed Zk LXk results with the dissipativity and passivity theory are included where xk E 9", Uk E 9jm Zk e W and qp( ) --A, B, and a numerical example is reported. G and L are real constant matrices of appropriate dimensions.

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Anti-windup strategy with guaranteed stability for linear systems with amplitude and dynamics restricted actuator

Cited by 8 publications

References 12 publications

Gain-scheduled output control design for a class of discrete-time nonlinear systems with saturating actuators

Gain-scheduled output control design for a class of discrete-time nonlinear systems with saturating actuators

Multi-objective H2/H∞/Impulse-to-Peak Control of a Space Launch Vehicle

Absolute stabilization of discrete-time systems with a sector bounded nonlinearity under control saturations

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