Gene

Quantum mechanics

Transformation (genetics)

Control (management)

Philosophy

Biology

First order

Applied mathematics

Convergence (economics)

Operating system

Economics

Biochemistry

Computer science

Mathematical optimization

A priori and a posteriori

Controller (irrigation)

Physics

Nonlinear system

Sliding mode control

Upper and lower bounds

Mathematics

Agronomy

Epistemology

Mathematical analysis

Artificial intelligence

Chemistry

Economic growth

Term (time)

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IEEE Transactions on Circuits & Systems II Express Briefs

This brief investigates the second-order sliding mode (SOSM) control for uncertain nonlinear systems subject to unknown mismatched terms. A new prescribed-time SOSM controller is developed by applying a time-varying coordinate transformation. The proposed controller can allow to prescribe the convergence time a priori and irrespective of initial conditions even in the presence of mismatched terms. Moreover, all the upper bounds of matched and mismatched uncertainties are not required to be exactly known. Finally, a simulation example with different initial conditions is given to show the effectiveness of the proposed controller.

Prescribed-Time Second-Order Sliding Mode Controller Design Subject to Mismatched Term