The problem of state constraints in designing the discrete time sliding mode controller

Jaskula, Marek; Pietrala, Mateusz; Leśniewski, Piotr

doi:10.14313/par_226/15

Cited by 5 publications

(2 citation statements)

References 33 publications

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“…First of all, we describe the continuoustime system (1) by introducing: We can notice that all required conditions i.e. (19), (20), (25), (29) are true. From Fig.…”

Section: Resultsmentioning

confidence: 99%

“…The conventional sliding mode control method does not consider the limitations of the state variables and the control signal. Hence, in this work, we further examine the mentioned issue [18], [19], this time considering continuoustime systems perturbed by unknown but bounded external disturbances. We demand the fastest, monotonic convergence of the representative point to the switching surface, while satisfying given state and input constraints.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Constraining State Variables and Control Signal via Sliding Mode Control Approach

Jaskula

Leśniewski

2020

IEEE Access

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In this paper the issue of constraining the control input and the state variables in continuoustime systems via sliding mode control was considered. The sliding mode controller was designed using the reaching law technique. Further, the time-varying convergence rate was selected so that the fastest, finitetime, monotonic convergence of the state to the predefined sliding hyperplane simultaneously satisfying both control input and state limitations is ensured. Sufficient condition that guarantees these properties was presented and proved. INDEX TERMS continuous-time systems, control input constraint, sliding mode control, state constraint

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“…First of all, we describe the continuoustime system (1) by introducing: We can notice that all required conditions i.e. (19), (20), (25), (29) are true. From Fig.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%