Constrained regulation of linear systems

Bitsoris, George; Vassilaki, Marina

doi:10.1016/0005-1098(94)e0053-k

Cited by 45 publications

(21 citation statements)

References 14 publications

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“…) t ( q 1 and ) t ( q 2 are the flow rates of pumps 1 and 2. The simulation and experimental schemes have been done under Matlab/Simulink, using Real-Time Interface, and run on the DS1102 dSPACE system, which is equipped with a power PC processor.…”

Section: Resultsmentioning

confidence: 99%

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Sliding Mode Control Using an Integrator Controller and Implementation For a Three-Tank System

Mahieddine-Mahmoud

Chrifi‐Alaoui²,

Assche³

et al. 2006

IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics

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In this paper, the nonlinear sliding mode control (NSMC) combined with a non linear Integral corrector is proposed. Initially, NSMC is applied only when the states of the system are far away from the setpoint, if the system is in a closed loop and its state is close to the reference, an integral component is added. The stability and the robustness of the closed-loop system are proven analytically using the Lyapunov synthesis approach. The proposed method attenuates the effect of both uncertainties and external disturbances, moreover eliminates the chattering phenomenon introduced by classical sliding-mode control. The application of this method to the three-tank system gives encouraging results which are presented and commented in this paper.Index Terms: Sliding Mode Control, Three-Tank System and Robust Control.

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Section: Resultsmentioning

confidence: 99%

“…The dynamics ) x ( f 1 and ) x ( f 2 , are not exactly known, but estimated by ) x ( f 1 and ) x ( f 2 , the following control law applied to system (1) is given by:…”

Section: Propositionmentioning

confidence: 99%

Sliding Mode Control Using an Integrator Controller and Implementation For a Three-Tank System

Mahieddine-Mahmoud

Chrifi‐Alaoui²,

Assche³

et al. 2006

IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics

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“…Questions like this have been considered in the control literature. 8,9,[17][18][19][20] In Section V below we discuss the problem of identifying the largest set within a prescribed envelope which can be made positively invariant and of characterizing the control strategy necessary to do so. This set will be called the safe set.…”

Section: The Loss-of-control Problemmentioning

confidence: 99%

Aircraft Accident Prevention: Loss-of-Control Analysis

Kwatny

Dongmo

Chang

et al. 2009

AIAA Guidance, Navigation, and Control Conference

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“…Positive invariance concept has been investigated in many studies [1]- [3], [5] and deployed in different control design strategies. In case the underlying system is affected by disturbances, the robust positive invariance concept is of use instead.…”

Section: Construction Of Suitable Convex Liftingmentioning

confidence: 99%

Robust output feedback control: Convex lifting based approach

Nguyễn

Olaru

2017

2017 IEEE 56th Annual Conference on Decision and Control (CDC)

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Abstract-This paper presents a design method for robust output feedback control of linear, discrete-time, invariant systems affected by both state and output additive disturbances. The method relies on the so-called convex lifting, which is defined on the N −step controllable set. It is proven that the proposed method guarantees the recursive feasibility and robust stability in the sense that the closed loop converges to a given robust positively invariant set as time tends to infinity. Moreover, the method only requires the resolution of a linear programming problem at each sampling instant. Finally, a numerical example is considered to illustrate the methodology.

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Constrained regulation of linear systems

Cited by 45 publications

References 14 publications

Sliding Mode Control Using an Integrator Controller and Implementation For a Three-Tank System

Sliding Mode Control Using an Integrator Controller and Implementation For a Three-Tank System

Aircraft Accident Prevention: Loss-of-Control Analysis

Robust output feedback control: Convex lifting based approach

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