access icon free Finite-time control for discrete time-varying systems with randomly occurring non-linearity and missing measurements

In this study, the finite-time control problem is studied for discrete time-varying systems with randomly occurring non-linearity and missing measurements. The randomly occurring non-linearity is modelled according to a Bernoulli distributed white sequence with a known conditional probability. The missing measurements phenomenon is assumed to occur in a random way and the missing probabilities are time-varying with known upper and lower bounds. Two sufficient conditions are established for the existence of the state feedback and output feedback controllers, which guarantee the finite-time stochastic stability of the closed-loop systems. The recursive linear matrix inequality approach is employed to design the desired controller gains. A numerical example is provided to illustrate the effectiveness of the obtained results.

Inspec keywords: discrete time systems; statistical distributions; control nonlinearities; stability; closed loop systems; nonlinear control systems; state feedback; stochastic processes; random processes; linear matrix inequalities; control system synthesis; time-varying systems

Other keywords: conditional probability; finite-time control; closed-loop system; missing measurements phenomenon; finite-time stochastic stability; recursive linear matrix inequality; state feedback controller; controller gain design; Bernoulli distributed white sequence; output feedback controller; randomly occurring nonlinearity; discrete time-varying system

Subjects: Time-varying control systems; Discrete control systems; Control system analysis and synthesis methods; Other topics in statistics; Nonlinear control systems; Linear algebra (numerical analysis); Stability in control theory

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