Integral Backstepping Sliding Mode Guidance Law with Finite Time Convergence

Abstract

Abstract

Finite‐time fault‐tolerant adaptive robust control for a class of uncertain non‐linear systems with saturation constraints using integral backstepping approach

“…Backstepping method has widely been employed to control the systems composed of cascade subsystems due to its advantages such as improvement of transient system performance [7–9]. Over the past decade, considerable attempts have been made to enhance this control strategy through combining it with other control approaches including adaptive control [10, 11], sliding mode control [12, 13] and optimal control [14]. The conventional backstepping approach may lead to undesirable performance including sluggish motion, slow convergence, poor tracking capability and excessive control input.…”

A finite-time adaptive robust control for a spacecraft attitude control considering actuator fault and saturation with reduced steady-state error

“…Backstepping method has widely been employed to control of systems composed of cascade subsystems (Zhou, 2014). Over the past decade, considerable attempts have been made to enhance this control strategy through combining it with other control approaches including adaptive control (Wen and Zhou, 2009), sliding mode control (Golestani and Fakharian, 2014), and optimal control (Gholipour and Khosravani, 2015). This control method provides an asymptotic convergence of the system states and finite-time convergence is not guaranteed; whereas in many practical applications such as guidance systems (Golestani et al, 2014, 2015), attitude control of spacecraft (Xiao and Hu, 2015) and robotic manipulators (Xiao and Yin, 2016), it is highly desirable that the system states converge to zero in finite time.…”