A new design method for sliding mode controllers using a linear time-varying sliding surface

Tokat, Sezai; Eksin, İbrahim; Güzelkaya, Müjde

doi:10.1243/095965102321042218

Cited by 10 publications

(19 citation statements)

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“…The authors of those papers propose using switching lines which instantaneously change their position on the phase plane. Another approach similar to that presented in (Bartoszewicz, 1995;Bartoszewicz, 1996) is also investigated in several other papers Betin et al, 2002a;Betin et al, 2002b;Tokat et al, 2002;Tokat et al, 2003b;Sivert et al, 2004a;Sivert et al, 2004b;Sivert et al, 2004c;Bartoszewicz and Żuk, 2006). This approach results in faster error convergence, than the one obtained in conventional systems with fixed, time-invariant sliding lines.…”

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

confidence: 97%

“…Another approach similar to that presented in (Bartoszewicz, 1995;Bartoszewicz, 1996) is also investigated in several other papers Betin et al, 2002a;Betin et al, 2002b;Tokat et al, 2002;Tokat et al, 2003b;Sivert et al, 2004a;Sivert et al, 2004b;Sivert et al, 2004c;Bartoszewicz and Żuk, 2006). In a paper (Tokat et al, 2002), its authors introduce a new coordinate frame, and then they use the frame to define a rotating straight switching line. The analysis presented in those two papers is illustrated with experimental results.…”

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

confidence: 97%

“…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%

“…Furthermore, in paper ( Bartoszewicz, 1996) application of the time-varying switching curves, which results in finite time error convergence is also proposed. Further results of the application of time-varying switching lines to the sliding mode control of the continuous time, second order dynamic systems are presented in (Tokat et al, 2002;Tokat et al, 2003b). In (Betin et al, 2002a;Betin et al, 2002b) the sliding mode control with time-varying switching lines is applied to the position control of a dc motor.…”

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

confidence: 99%

See 3 more Smart Citations

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

confidence: 97%

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

confidence: 97%

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

confidence: 99%

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

confidence: 99%

See 2 more Smart Citations

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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“…For that purpose the ITAE is minimized subject to the input signal, acceleration and velocity constraints. First we calculate J IT AE = 1 t t je 1 (t)j dt: (16) Taking into account (11), (15), and the fact that the error converges monotonically in the considered system, we get …”

Section: Switching Plane Designmentioning

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 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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Sliding‐mode control of the third‐order system subject to velocity, acceleration and input signal constraints

Bartoszewicz

Nowacka

2007

Adaptive Control & Signal

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In this paper 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 plane passes through the system representative point 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 (determining angles of inclination and the velocity of its motion) are selected to ensure the minimum integral absolute error (IAE) without violating velocity, acceleration and input signal constraints. The following cases of the switching plane parameters selection are considered. Firstly, the IAE is minimized subject to each of the three constraints separately. Then, every pair of the constraints is considered, and finally all three constraints are taken into account simultaneously. In all the cases 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 proposed control action and fast, monotonic error convergence to zero is achieved.

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A new design method for sliding mode controllers using a linear time-varying sliding surface

Cited by 10 publications

References 0 publications

Time-Varying Sliding Modes for Second and Third Order Systems

Time-Varying Sliding Modes for Second and Third Order Systems

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

Sliding‐mode control of the third‐order system subject to velocity, acceleration and input signal constraints

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