Robust control of an induction machine drive using a time-varying sliding surface

Sivert, Arnaud; Bétin, F.; Faqir, A.; Capolino, Gérard‐André

doi:10.1109/isie.2004.1572012

Cited by 20 publications

(12 citation statements)

References 2 publications

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“…Thus, J u IT AE (k) has a single minimum This concludes the proof. The other parameters of the switching plane can be calculated from (9), (10), (13), and (18).…”

Section: A Sliding Plane Design Subject To Input Constraintmentioning

confidence: 99%

See 1 more Smart Citation

ITAE Optimal Sliding Modes for Third-Order Systems With Input Signal and State Constraints

Bartoszewicz

Nowacka-Leverton

2010

IEEE Trans. Automat. Contr.

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In this note, the design of a time-varying switching plane for the sliding-mode control of the third-order system subject to velocity, acceleration and input signal constraints is considered. Initially, the switching plane passes through the system representative point (RP) in the error state space and then it moves with a constant velocity to the origin of the space. Having reached the origin the plane stops moving and remains fixed. The plane parameters are selected to minimize the integral of the time multiplied by the absolute error (ITAE) without violating velocity, acceleration and input signal constraints. Furthermore, the switching plane is chosen in such a way that the reaching phase is eliminated, insensitivity of the system with reference to the external disturbances and the model uncertainty is guaranteed from the very beginning of the control action and monotonic tracking error convergence to zero is ensured.Index Terms-Sliding-mode control, switching plane design, timevarying switching planes, variable structure systems.

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“…Thus, J u IT AE (k) has a single minimum This concludes the proof. The other parameters of the switching plane can be calculated from (9), (10), (13), and (18).…”

Section: A Sliding Plane Design Subject To Input Constraintmentioning

confidence: 99%

“…Therefore, for k = k a opt = 3 p 2 this function reaches its minimum. For that value of k from formula B = sgn (e 0 ) (a max ek 1=3 je 0 j 01=3 ) 3=2 The other parameters of the optimal plane can be found from (9), (10), (13), and (18).…”

Section: B Sliding-plane Design Subject To Acceleration Constraintmentioning

confidence: 99%

ITAE Optimal Sliding Modes for Third-Order Systems With Input Signal and State Constraints

Bartoszewicz

Nowacka-Leverton

2010

IEEE Trans. Automat. Contr.

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“…In fact, time-varying sliding surfaces have recently been applied both in continuous (Chang and Hurmuzlu, 1992;Chang and Hurmuzlu, 1993;Choi et al, 1993;Bartoszewicz, 1995;Bartoszewicz, 1996;Ghosh and Olgac, 1997;Kim et al, 1998;Temeltas, 1998;Weisheng et al, 1998;Ha et al, 1999;Park and Choi, 1999;Demin et al, 2000;Yilmaz and Hurmuzlu, 2000;Betin et al, 2002a;Betin et al, 2002b;Chen et al, 2002;Iliev and Hristozov, 2002;Iliev and Kalaykov, 2002;Tokat et al, 2002;Tokat et al, 2003a;Tokat et al, 2003b;Iliev and Kalaykov, 2004;Sivert et al, 2004a;Sivert et al, 2004b;Sivert et al, 2004c;Jinggang et al, 2006;Corradini and Orlando, 2007) and discrete time systems (Bartoszewicz, 1998;Zhang and Guo, 2000;Chakravarthini Saaj and Bandyopadhyay, 2001;Chung et al, 2004;Jinggang et al, 2004a;Jinggang et al, 2004b). Most of these papers are devoted to the second order plant control.…”

Section: Previous Work On Sliding Mode Control With Time-varying Switmentioning

confidence: 99%

Time-Varying Sliding Modes for Second and Third Order Systems

Bartoszewicz¹,

Nowacka-Leverton²

2009

Lecture Notes in Control and Information Sciences

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“…This approach does not increase significantly the computation time of the control law and gives more control on the switching frequency. Therefore, it is proposed in this part to shift the sliding line with a constant speed [28] in order to obtain the sliding mode since the beginning of the motion.…”

Section: Vsc With Time-varying Switching Surfacementioning

confidence: 99%

Sliding mode control for an induction machine submitted to large variations of mechanical configuration

Bétin

Capolino

2007

Adaptive Control & Signal

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In this paper, a variable structure control (VSC) algorithm with a time-varying switching surface is combined with an indirect field-oriented control in order to control the position of an induction machine shaft submitted to large variations of mechanical configuration such as inertia or load torque changes. The introduction of a time-varying switching surface guarantees the existence of a sliding mode since the beginning of the shaft motion without any chattering effects. Indeed, this moving switching surface allows the reaching phase elimination and the motor behaviour is insensitive to unknown mechanical configuration changes. The algorithm has been first tested in simulation and then implemented using a low-cost DSP platform combined with a numerical coprocessor. Finally, an advanced test bed is used in order to evaluate the tracking properties and the robustness capacities of the VSC law with variations of the mechanical configuration.

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Robust control of an induction machine drive using a time-varying sliding surface

Cited by 20 publications

References 2 publications

ITAE Optimal Sliding Modes for Third-Order Systems With Input Signal and State Constraints

ITAE Optimal Sliding Modes for Third-Order Systems With Input Signal and State Constraints

Time-Varying Sliding Modes for Second and Third Order Systems

Sliding mode control for an induction machine submitted to large variations of mechanical configuration

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