State constrained tracking control for nonlinear systems

Bezzaoucha, Souad; Marx, Benoît; Maquin, Didier; Ragot, José

doi:10.1016/j.jfranklin.2015.05.003

Cited by 10 publications

(7 citation statements)

References 46 publications

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“…According to (3) and (6), the state variables are the necessary information at the discrete-time moment k t , which together with the model and the input are sufficient to compute the output at the time moment 1…”

Section: Geometrical Interpretationmentioning

confidence: 99%

“…A bank of reduced-order Luenberger observers is designed in [7] to locate a specific fault source. The hybrid system-based combination of state-space partition and optimal control of multi-model for nonlinear systems is suggested in [35] and the state constrained control of nonlinear systems is treated in [3]. A nonlinear state observer for the estimation of different gas species concentration profiles is proposed in [18] and a state-space approach to predictive control is given in [17].…”

Section: Introductionmentioning

confidence: 99%

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An Approach to the Design of Nonlinear State-Space Control Systems

Pozna¹,

Precup²

2018

STUD INFORM CONTROL

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This paper proposes a cost-effective approach to the design of nonlinear state-space control systems. The approach is supported by a geometrical illustration of systems evolution in the state space, by the Lyapunov's direct method, the native behaviour of the controlled process, and the desired system matrix. The method is exemplified through the medium of a realworld process represented by the pendulum-cart system laboratory equipment.

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Section: Geometrical Interpretationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Approach to the Design of Nonlinear State-Space Control Systems

Pozna¹,

Precup²

2018

STUD INFORM CONTROL

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“…Rather than claiming the closed-loop faulty system to have model of the nominal system, it can be required to design the control reconfiguration for trajectory following problem in which the reference is the nominal trajectory, or an approximate of the nominal system model trajectory (Erzberger, 1968;Staroswiecki and Cazaurang, 2004). Some comprehensive new approaches, concerning the model reference tracking control, can be found, e.g., in Bezzaoucha et al (2015), Mansouri et al (2009) and Vaidyanathan and Azar (2016).…”

Section: Introductionmentioning

confidence: 99%

Enhanced approach to cascade reconfiguration control design

Krokavec

Filasová

2018

IJIEI

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Following the concept of fault tolerant control systems, the paper is concerned with the problem of reconfiguration to retain fault tolerance in control of linear continuous-time systems with system dynamics faults. The main idea is to use a reference model output to be followed when a fault occurs, while the nominal control loop structure is kept untouched and the controllers with nominal parameters remains a part of the reconfigured control loop scheme. The full state control principle is applied for nominal control strategy and the static output control principle is proposed for the compensation control law. Exploiting the D-stability circle region precept, new conditions for control laws parameter design are introduced and proven, as well as stability of the cascade-like reconfiguration structure is analysed in the paper. To illustrate oncoming properties, the proposed feasible procedure is compared with that which was obtained using the bounded real lemma principle. The results, offering the sufficient and necessary design conditions, are illustrated with a numerical example to note the effectiveness of the proposed approach and its applicability.

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“…The objective of tracking control is to design a control law making the sate or output of a controlled plant track a prescribed reference signal. Some useful results on tracking control of nonlinear systems have been obtained in [1][2][3][4][5][6][7][8][9][10][11][12]. To mention a few, practical output tracking of nonlinear systems with uncontrollable unstable linearization was studied in [1].…”

Section: Introductionmentioning

confidence: 99%

“…A tracking controller was developed to guarantee the exact tracking of a given reference signal for a class of nonlinear systems with time delays and dead-zone input in [4]. State constrained tracking control for nonlinear systems was investigated in [5]. These papers [6][7][8][9][10][11][12] dealt with the adaptive tracking of nonlinear systems with uncertain or unknown parameters.…”

Section: Introductionmentioning

confidence: 99%

Finite-time output tracking for a class of switched nonlinear systems

Huang

Xiang

2016

Int. J. Robust. Nonlinear Control

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This paper investigates the finite-time output tracking for a class of switched nonlinear systems in p-normal form. Compared with the existing results, the restrictions on power orders of the system are relaxed. Using the convex combination method and the adding a power integrator technique, a state-dependent switching and law, and state feedback controllers of individual subsystems are constructed. It is shown that all states of the closed-loop system are bounded, and the tracking error can converge to a small neighborhood of zero in finite time. An example is provided to show the effectiveness of the proposed method.

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State constrained tracking control for nonlinear systems

Cited by 10 publications

References 46 publications

An Approach to the Design of Nonlinear State-Space Control Systems

An Approach to the Design of Nonlinear State-Space Control Systems

Enhanced approach to cascade reconfiguration control design

Finite-time output tracking for a class of switched nonlinear systems

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