SIAM Journal on Control and Optimization
Sliding mode control of a discrete system
Systems & Control Letters
Tools for Semiglobal Stabilization by Partial State and Output Feedback
SIAM Journal on Control and Optimization
Robust exact differentiation via sliding mode technique
Automatica (Journal of IFAC)
Variable Structure and Lyapunov Control
Variable Structure and Lyapunov Control
Nonlinear Control Systems
Robust Control Via Variable Structure and Lyapunov Techniques
Robust Control Via Variable Structure and Lyapunov Techniques
Variable Structure Systems, Sliding Mode and Nonlinear Control
Variable Structure Systems, Sliding Mode and Nonlinear Control
Control of Complex and Uncertain Systems: New Types of Feedback
Control of Complex and Uncertain Systems: New Types of Feedback
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
SIAM Journal on Control and Optimization
Control Perspectives on Numerical Algorithms And Matrix Problems (Advances in Design and Control) (Advances in Design and Control 10)
Principles of 2-sliding mode design
Automatica (Journal of IFAC)
On the Regularization of Sliding Modes
SIAM Journal on Optimization
Sliding mode observers: a survey
International Journal of Systems Science
Paper: The internal model principle of control theory
Automatica (Journal of IFAC)
Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach
SIAM Journal on Numerical Analysis
Using sliding modes in static optimization and nonlinear programming
Automatica (Journal of IFAC)
Variable structure servomechanism design and applications to overspeed protection control
Automatica (Journal of IFAC)
Brief paper: Multivariable closed-loop deadbeat control: a polynomial-matrix approach
Automatica (Journal of IFAC)
Brief Non-singular terminal sliding mode control of rigid manipulators
Automatica (Journal of IFAC)
Sliding mode observers for fault detection and isolation
Automatica (Journal of IFAC)
Brief Digital second-order sliding mode control for uncertain nonlinear systems
Automatica (Journal of IFAC)
Homogeneity approach to high-order sliding mode design
Automatica (Journal of IFAC)
The invariance conditions in variable structure systems
Automatica (Journal of IFAC)
Parameter tuning of second-order sliding mode controllers for linear plants with dynamic actuators
Automatica (Journal of IFAC)
Interval estimation for LPV systems applying high order sliding mode techniques
Automatica (Journal of IFAC)
Mathematics and Computers in Simulation
Mathematics and Computers in Simulation
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Abstract: The paper presents a brief survey on Variable Structure Control Systems with Sliding Modes. Starting from a general case of sliding modes in dynamical systems with discontinuous right-hand side, classic approaches to sliding mode control systems are considered and some basic results about the control of uncertain systems are given. Then, Higher-Order Sliding Modes are presented as a tool to remove discontinuity from the control action, to deal with higher relative degree systems and to improve the accuracy of the real sliding mode behavior when the discrete time implementation is considered. Finally, three applications of the sliding mode control theory to applied math problems are presented: the numerical solution of constrained ODEs, the real-time differentiation, and the problem of finding the zeroes of nonlinear algebraic systems. The first is an almost straightforward application of the sliding mode control theory, while the last two are accomplished by computing the solution of properly defined dynamical systems. Some simulations are reported to clarify the approach.