Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties

Robust adaptive constrained boundary control for a suspension cable system of a helicopter

“…[21][22][23][24][25][26][27] The control problem of a string system modeled by a PDE was considered in the work of Qu,24 in which a robust adaptive boundary controller was designed. A new idea of the sliding mode control design was raised for the boundary control problem of a distributed parameter system governed by a parabolic PDE in the work of Cheng et al 25 In order to restrain the vibration, a boundary controller was proposed by utilizing the Lyapunov direct method for a riser system in the work of He et al 26 In the work of He and Zhang, 27 by applying boundary control schemes, the boundary control problem of flexible wings was studied for a robotic aircraft system, which was represented by a set of distributed parameter systems. In addition, since actuator physical constraints can severely degrade the closed-loop system performance, the control design with actuator constraints presents a tremendous challenge.…”

Interval Type II Fuzzy Sliding Mode Controller Tuned With PSO Designed for Attitude Control of Micro Aircraft Vehicle

“…Intelligent control theory represented by fuzzy control [4], neural network control [5], and their integration with modern robust control theory represented by adaptive control [6], sliding mode control [7] provides effective ways to solve the modeling and control of Micro Aircraft Vehicle with characteristics of time-variant, serious nonlinearity, parameter and structure uncertainty, and external disturbances in most cases which make it very difficult to realize high accuracy control for the attitude angle by conventional methods. For resolving this problem.…”

Sliding Mode Control to Stabilization of a Tip-Force Destabilized Shear Beam Subject to Boundary Control Matched Disturbance

“…The sliding mode control (SMC) that is inherently robust is the most popular one that has been studied widely for both finite-dimensional systems and the infinite-dimensional counterparts. Recently, a boundary SMC controller for a one-dimensional heat, wave, Euler-Bernoulli beam, and Schrödinger equation with boundary input disturbance is designed in [11][12][13][14]. Another powerful method in dealing with the disturbance is the active disturbance rejection control (ADRC) method.…”