WebJun 30, 2024 · This brief proposes a uniform adaptive reaching phase strategy (ARPS) within a predefined reaching-time. Moreover, as a case of study, the barrier function … Figure 1: Phase plane trajectory of a system being stabilized by a sliding mode controller. After the initial reaching phase, the system states "slides" along the line =. The particular = surface is chosen because it has desirable reduced-order dynamics when constrained to it. See more In control systems, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by applying a discontinuous control signal (or more rigorously, a set-valued control signal) that forces … See more Figure 1 shows an example trajectory of a system under sliding mode control. The sliding surface is described by $${\displaystyle s=0}$$, and the sliding mode along the … See more The following theorems form the foundation of variable structure control. Theorem 1: Existence of sliding mode Consider a Lyapunov function candidate where See more Sliding mode control can be used in the design of state observers. These non-linear high-gain observers have the ability to bring coordinates of the estimator error dynamics to zero in … See more Consider a nonlinear dynamical system described by where $${\displaystyle \mathbf {x} (t)\triangleq {\begin{bmatrix}x_{1}(t)\\x_{2}(t)\\\vdots \\x_{n-1}(t)\\x_{n}(t)\end{bmatrix}}\in \mathbb {R} ^{n}}$$ See more • Consider a plant described by Equation (1) with single input u (i.e., $${\displaystyle m=1}$$). The switching function is picked to be the linear … See more • Variable structure control • Variable structure system • Hybrid system See more
A uniform reaching phase strategy in adaptive sliding mode control
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