Robust adaptive stabilization of discrete-time first-order systems

Robust adaptive stabilization of discrete-time first-order systems

An algorithm for the adaptive stabilization of single-input single-output time-varying first-order discretctimc systems is presented. Only the knowledge of the sign of the feedback gain and an upper bound of it is rcquired. The adaptive control law is robust with rcspect to nonlinear additive time-varying state, input and output perturbations_ I f the s ign of the feedback gain is not known, i ...

A Robust Control Design Technique for Discrete-Time Systems

A robust state feedback design subject to placement of the closed loop eigenvalues in a prescribed region of unit circle is presented. Quantitative measures of robustness and disturbance rejection are investigated. A stochastic optimization algorithm is used to effect trade-off between the free design parameters and to accomplish all the design criteria. A numerical example is given to illustra...

Robust decentralized stabilization of uncertain large-scale discrete-time systems

This paper describes the synthesis of robust decentralized controllers for uncertain large-scale discrete-time systems with time delays in the subsystem interconnections. Based on the Lyapunov method, a sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI). The solutions of the LMIs can be obtained easily using efficient convex optimization techniques...

The robust stabilization problem for discrete-time descriptor systems

We investigate the robust stabilization problem for the descriptor discrete-time systems and build an optimal solution in the case when both the nominal system and the perturbations are given in terms of left coprime factorizations over RH∞. Numerically reliable solutions are given for both the stability radius and the associated controller, which, in addition, regain the same simplicity as in ...

Adaptive Stabilization and Disturbance Rejection for First-Order Systems