Nonfragile-Observer-Based Integral Sliding Mode Control for a Class of Uncertain Switched Hyperbolic Systems
Yonggui Kao, Xiaonan Liu, Minghui Song, Lin Zhao, Qiang Zhang
Abstract
This article concerns nonfragile-observer-based integral sliding mode control for a class of uncertain switched hyperbolic systems (USHSs). First, by means of variable substitutions, the original hyperbolic differential system is reduced into a first-order one. Then, a nonfragile observer and the state-estimate-based sliding mode control law are designed, respectively, such that the reachability of the sliding surface and the novel criteria on asymptotical stability of the sliding dynamic USHSs can be ensured. Finally, a numerical example is presented to illustrate the effectiveness of our findings.
Topics & Concepts
Control theory (sociology)ReachabilityObserver (physics)Integral sliding modeSliding mode controlState observerMathematicsMode (computer interface)Class (philosophy)State (computer science)Stability (learning theory)State variableVariable structure controlComputer scienceControl (management)Nonlinear systemAlgorithmArtificial intelligencePhysicsQuantum mechanicsOperating systemThermodynamicsMachine learningStability and Controllability of Differential EquationsAdaptive Control of Nonlinear SystemsControl and Stability of Dynamical Systems