Second-Order Sliding Mode Control Design Subject to an Asymmetric Output Constraint
Liu Lü, Shihong Ding, Xinghuo Yu
Abstract
In this brief, a novel second-order sliding mode (SOSM) control method is developed to solve the asymmetric output constraint problem by using a power integrator and barrier Lyapunov function (BLF). The new BLF is first constructed based on the asymmetric constraint condition. A novel SOSM algorithm is then constructed for the nonlinear systems with an asymmetric output constraint. Under the proposed SOSM algorithm, the output of the resulting closed-loop system will never escape from the asymmetric constraint. Finally, a pendulum system is adopted to verify the validity of the theoretical results.
Topics & Concepts
Constraint (computer-aided design)Control theory (sociology)Mode (computer interface)IntegratorSliding mode controlNonlinear systemInverted pendulumMathematical optimizationComputer scienceLyapunov functionPower (physics)MathematicsControl (management)PhysicsArtificial intelligenceOperating systemComputer networkBandwidth (computing)Quantum mechanicsGeometryAdaptive Control of Nonlinear SystemsAdvanced Control Systems OptimizationAdvanced Control Systems Design