4 research outputs found
Integral Sliding Mode Control for Markovian Jump T-S Fuzzy Descriptor Systems Based on the Super-Twisting Algorithm
This paper investigates integral sliding mode control problems for Markovian jump T-S fuzzy descriptor systems via the super-twisting algorithm. A new integral sliding surface which is continuous is constructed and an integral sliding mode control scheme based on a variable gain super-twisting algorithm is presented to guarantee the well-posedness of the state trajectories between two consecutive switchings. The stability of the sliding motion is analyzed by considering the descriptor redundancy and the properties of fuzzy membership functions. It is shown that the proposed variable gain super-twisting algorithm is an extension of the classical single-input case to the multi-input case. Finally, a bio-economic system is numerically simulated to verify the merits of the method proposed
Modified PSO based PID Sliding Mode Control using Improved Reaching Law for Nonlinear systems
In this paper, a new model based nonlinear control technique, called PID
(Proportional-Integral-Derivative) type sliding surface based sliding mode
control is designed using improved reaching law. To improve the performance of
the second order nonlinear differential equations with unknown parameters
modified particle swarm intelligent optimization (MPSO) is used for the
optimized parameters. This paper throws light on the sliding surface design, on
the proposed power rate exponential reaching law, parameters optimization using
modified particle swarm optimization and highlights the important features of
adding an integral term in the sliding mode such as robustness and higher
convergence, through extensive mathematical modeling. Siding mode control law
is derived using Lyapunov stability approach and its asymptotic stability is
proved mathematically and simulations showing its validity. MPSO PID-type
Sliding mode control will stabilize the highly nonlinear systems, will
compensate disturbances and uncertainty and reduces tracking errors.
Simulations and experimental application is done on the non-linear systems and
are presented to make a quantitative comparison.Comment: arXiv admin note: substantial text overlap with arXiv:2207.1112
Design of Sliding Mode PID Controller with Improved reaching laws for Nonlinear Systems
In this thesis, advanced design technique in sliding mode control (SMC) is
presented with focus on PID (Proportional-Integral-Derivative) type Sliding
surfaces based Sliding mode control with improved power rate exponential
reaching law for Non-linear systems using Modified Particle Swarm Optimization
(MPSO). To handle large non-linearities directly, sliding mode controller based
on PID-type sliding surface has been designed in this work, where Integral term
ensures fast finite convergence time. The controller parameter for various
modified structures can be estimated using Modified PSO, which is used as an
offline optimization technique. Various reaching law were implemented leading
to the proposed improved exponential power rate reaching law, which also
improves the finite convergence time. To implement the proposed algorithm,
nonlinear mathematical model has to be decrypted without linearizing, and used
for the simulation purposes. Their performance is studied using simulations to
prove the proposed behavior. The problem of chattering has been overcome by
using boundary method and also second order sliding mode method. PI-type
sliding surface based second order sliding mode controller with PD surface
based SMC compensation is also proposed and implemented. The proposed
algorithms have been analyzed using Lyapunov stability criteria. The robustness
of the method is provided using simulation results including disturbance and
10% variation in system parameters. Finally process control based hardware is
implemented (conical tank system)