Discrete-time exponentially stabilizing fuzzy sliding mode control via lyapunov's method
Abstract
The exponentially stabilizing state feedback control algorithm is developed by Lyapunov's second method leading to the variable structure system with chattering free sliding modes. Linear time-invariant discrete-time second order plant is considered and the control law is obtained by using a simple fuzzy controller. The analytical structure of the proposed controller is derived and used to prove exponential stability of sliding subspace. Essentially, the control algorithm drives the system from an arbitrary initial state to a prescribed so-called sliding subspace S, in finite time and with prescribed velocity estimate. Inside the sliding subspace S, the system is switched to the sliding mode regime and stays in it forever. The proposed algorithm is tested on the real system in practice, DC servo motor, and simulation and experimental results are given.
Source:
Advances in Fuzzy Systems, 2015, 2015Publisher:
- Hindawi Publishing Corporation
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Mašinski fakultetTY - JOUR AU - Jovanović, Radiša AU - Bučevac, Zoran M. PY - 2015 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2139 AB - The exponentially stabilizing state feedback control algorithm is developed by Lyapunov's second method leading to the variable structure system with chattering free sliding modes. Linear time-invariant discrete-time second order plant is considered and the control law is obtained by using a simple fuzzy controller. The analytical structure of the proposed controller is derived and used to prove exponential stability of sliding subspace. Essentially, the control algorithm drives the system from an arbitrary initial state to a prescribed so-called sliding subspace S, in finite time and with prescribed velocity estimate. Inside the sliding subspace S, the system is switched to the sliding mode regime and stays in it forever. The proposed algorithm is tested on the real system in practice, DC servo motor, and simulation and experimental results are given. PB - Hindawi Publishing Corporation T2 - Advances in Fuzzy Systems T1 - Discrete-time exponentially stabilizing fuzzy sliding mode control via lyapunov's method VL - 2015 DO - 10.1155/2015/496085 ER -
@article{ author = "Jovanović, Radiša and Bučevac, Zoran M.", year = "2015", abstract = "The exponentially stabilizing state feedback control algorithm is developed by Lyapunov's second method leading to the variable structure system with chattering free sliding modes. Linear time-invariant discrete-time second order plant is considered and the control law is obtained by using a simple fuzzy controller. The analytical structure of the proposed controller is derived and used to prove exponential stability of sliding subspace. Essentially, the control algorithm drives the system from an arbitrary initial state to a prescribed so-called sliding subspace S, in finite time and with prescribed velocity estimate. Inside the sliding subspace S, the system is switched to the sliding mode regime and stays in it forever. The proposed algorithm is tested on the real system in practice, DC servo motor, and simulation and experimental results are given.", publisher = "Hindawi Publishing Corporation", journal = "Advances in Fuzzy Systems", title = "Discrete-time exponentially stabilizing fuzzy sliding mode control via lyapunov's method", volume = "2015", doi = "10.1155/2015/496085" }
Jovanović, R.,& Bučevac, Z. M.. (2015). Discrete-time exponentially stabilizing fuzzy sliding mode control via lyapunov's method. in Advances in Fuzzy Systems Hindawi Publishing Corporation., 2015. https://doi.org/10.1155/2015/496085
Jovanović R, Bučevac ZM. Discrete-time exponentially stabilizing fuzzy sliding mode control via lyapunov's method. in Advances in Fuzzy Systems. 2015;2015. doi:10.1155/2015/496085 .
Jovanović, Radiša, Bučevac, Zoran M., "Discrete-time exponentially stabilizing fuzzy sliding mode control via lyapunov's method" in Advances in Fuzzy Systems, 2015 (2015), https://doi.org/10.1155/2015/496085 . .