On variable structure output feedback controllers for uncertain dynamic systems

Żak, Stanisław H.; Hui, Stefen

doi:10.1109/9.241564

Cited by 177 publications

(88 citation statements)

References 12 publications

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“…The main feature of SMC is that it uses a high-speed switching control law to drive the system states from any initial state onto a user-specified surface in the state space (the so-called sliding surface), and to maintain the states on the surface for all subsequent time. This method is well known for its robustness to disturbance and parameter variations (4)- (6) . Conventionally, the SMC is based on the state-space approach.…”

Section: Introductionmentioning

confidence: 99%

Chattering Free Sliding Mode Control in Magnetic Levitation System

2005

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Non-memberIt is well known that sliding mode control (SMC) is capable of tackling systems with uncertainties. However, the discontinuous control signal causes a significant problem of chattering. In this paper, a new and simple approach to chattering free SMC methodology is proposed. The main purpose is to eliminate the chattering phenomenon. As a result, the chattering is eliminated and error performance of sliding mode control is improved. The reduction of the chattering of sliding mode control is achieved by using a distance function which measure the distance between the trajectory of state errors and the sliding surface as the corrective control term instead of discontinuous sign function. Experimental study carried out on a magnetic levitation system is presented. Experiments verified that the proposed control has the advantage of less chattering in SMC.

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Section: Introductionmentioning

confidence: 99%

Chattering Free Sliding Mode Control in Magnetic Levitation System

2005

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“…On the other hand, several authors have considered VSC in the static output feedback format. [20][21][22][23][24] Linear systems using the variable structure output feedback control (VSOFC) have been considered by Heck and Ferri. 20) Zak et al 21) studied use of output feedback in VSC with uncertainties for a class of controllers.…”

Section: Introductionmentioning

confidence: 99%

“…[20][21][22][23][24] Linear systems using the variable structure output feedback control (VSOFC) have been considered by Heck and Ferri. 20) Zak et al 21) studied use of output feedback in VSC with uncertainties for a class of controllers. Yallapragada et al 24) considered reaching Ó 2006 The Japan Society for Aeronautical and Space Sciences condition design for VSC with static output feedback.…”

Section: Introductionmentioning

confidence: 99%

Maneuvers and Vibration Suppression of Flexible Spacecraft Integrating Variable Structure Control and Input Shaping Technique

2006

Trans. Japan Soc. Aero. S Sci.

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A generalized scheme based on variable structure output feedback control (VSOFC) and input shaping (IS) technique has been proposed for rotational maneuvers and vibration suppression of an orbiting spacecraft with flexible appendages. The proposed control design process is twofold: design of the attitude controller followed by the design of a flexible vibration attenuator. Based on VSOFC theory, the attitude controller using only the attitude and angular rate measurement consists of linear and discontinuous feedback terms. The linear and discontinuous feedback gains are designed so that the sliding surface exists and is globally reachable. With the presence of this attitude controller, an additional vibration attenuator using input shaping technique is designed to eliminate unwanted flexible modes of vibration while achieving the desired closed-loop motion by producing a command profile that only requires information about the natural frequency and damping of the closed-loop system. The proposed control strategy has been implemented on a flexible spacecraft, which is a hub with a cantilever flexible beam appendage and can undergo a single-axis rotation. The results have proven the potential of this approach to control flexible spacecraft.

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“…An algorithm which is convenient for practical use has been derived in Spurgeon (1995, 1998). Based on the work given in Zak and Hui (1993), some dynamic feedback sliding mode controllers have been proposed (Kwan 2001, Shyu et al 2001. In all the above output feedback sliding mode control schemes, it is an a priori requirement that the system under consideration is minimum phase and relative degree one and that a particular sub-system must be output feedback stabilisable (Edwards and Spurgeon 1998).…”

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confidence: 99%

“…A number of algorithms have been developed for robust stabilization of uncertain systems which are based on sliding surfaces and output feedback control schemes (see, for example, Hui 1993, Edwards andSpurgeon 1995). A geometric condition has been developed to guarantee the existence of the sliding surface and the stability of the reduced order sliding motion (Zak and Hui 1993). An algorithm which is convenient for practical use has been derived in Spurgeon (1995, 1998).…”

mentioning

confidence: 99%

Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities

Govindaswamy

Spurgeon

Floquet

2011

International Journal of Control

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An output feedback based sliding mode control design methodology for discrete time systems is considered in this paper. In previous work, it has been shown that by identifying a minimal set of current and past outputs, an augmented system can be obtained which permits the design of a sliding surface based upon output information only, if the invariant zeros of this augmented system are stable. In this work, a procedure for realizing discrete time controllers via a particular set of extended outputs is presented for non square systems with uncertainties. This method is applicable when unstable invariant zeros are present in the original system. The conditions for existence of a sliding manifold guaranteeing a stable sliding motion are given. A procedure to obtain a Lyapunov matrix, which simultaneously satisfies both a Riccati inequality and a structural constraint, is used to formulate the corresponding control to solve the reachability problem. A numerical method using linear matrix inequalities is suggested to obtain the Lyapunov matrix. Finally, the design approach given in the paper is applied to an aircraft problem and the use of the method as a reconfigurable control strategy in the presence of sensor failure is demonstrated.

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On variable structure output feedback controllers for uncertain dynamic systems

Cited by 177 publications

References 12 publications

Chattering Free Sliding Mode Control in Magnetic Levitation System

Chattering Free Sliding Mode Control in Magnetic Levitation System

Maneuvers and Vibration Suppression of Flexible Spacecraft Integrating Variable Structure Control and Input Shaping Technique

Discrete-time output feedback sliding-mode control design for uncertain systems using linear matrix inequalities

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