Free-will Arbitrary Time Terminal Sliding Mode Control
Anil Kumar Pal, Shyam Kamal, Xinghuo Yu, Shyam Krishna Nagar, B. Bandyopadhyay
Abstract
In this technical note, free-will arbitrary time terminal sliding mode control design is proposed. With such a design, it is possible to control the time duration of sliding in the sliding phase. Under the assumption that the chosen arbitrary time is greater than the reaching phase time (tr), it is shown that the nth order chain of integrators converges to zero within the selected arbitrary time. An algorithm is also proposed for the case when tr is not known to the designer. Stability analysis based on Lyapunov theory has been provided.
Topics & Concepts
Control theory (sociology)Sliding mode controlIntegratorTerminal (telecommunication)Mode (computer interface)Terminal sliding modeStability (learning theory)Lyapunov functionPhase (matter)Variable structure controlMathematicsComputer scienceControl (management)PhysicsNonlinear systemBandwidth (computing)Computer networkMachine learningTelecommunicationsOperating systemArtificial intelligenceQuantum mechanicsAdaptive Control of Nonlinear SystemsExtremum Seeking Control SystemsStability and Control of Uncertain Systems