Practical Prescribed-Time Sampled-Data Control of Linear Systems With Applications to the Air-Bearing Testbed
Kai Zhang, Bin Zhou, Huaiyuan Jiang, Shuai Liu, Guang‐Ren Duan
Abstract
This article studies the practical prescribed time sampled-data control problem for input-constrained linear time invariant continuous time systems. By using the solution to a parametric Lyapunov equation, a bounded linear time-varying (LTV) sampled-data controller is designed to solve such a problem. In addition, stability analysis and performance analysis of the closed-loop sampled-data control system are presented by using the methodology of scalarization. Finally, the developed LTV sampled-data state controller is utilized to the whole physical simulation system of air-bearing testbed and experimental results verify the effectiveness of the proposed approach.
Topics & Concepts
TestbedControl theory (sociology)Controller (irrigation)Parametric statisticsLinear systemComputer scienceLTI system theoryLyapunov functionStability (learning theory)Bounded functionControl engineeringBearing (navigation)Control (management)MathematicsNonlinear systemEngineeringArtificial intelligenceAgronomyMathematical analysisComputer networkMachine learningPhysicsBiologyStatisticsQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsAdvanced Control Systems Optimization