Indirect Adaptive MPC for Discrete-Time LTI Systems with Parametric Uncertainties

2021 ◽  
pp. 1-1
Author(s):  
Abhishek Dhar ◽  
Shubhendu Bhasin
Keyword(s):  
Discrete Time ◽  
Parametric Uncertainties

Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties

2017 ◽  
Vol 24 (20) ◽  
pp. 4921-4930 ◽  
Author(s):  
Nasrollah Azam Baleghi ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Upper Bound ◽  
Sufficient Conditions ◽  
Switched System ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the delay-dependent stability conditions for time-delay discrete-time switched systems. In the considered switched system, there are uncertain terms in each subsystem due to affine parametric uncertainties. Additionally, each subsystem has a time-varying state delay which adds more complexity to the stability analysis. Based on the Lyapunov functional approach, the sufficient conditions are extracted to determine the admissible upper bound of the time-varying delay for guaranteed stability. Furthermore, a class of switching signals is identified to guarantee the exponential stability of the uncertain time-delay switched system. The main advantage of the suggested switching signals is its independency to the uncertainties. Furthermore, these signals are only constrained by a determined average dwell time (may be chosen arbitrarily). Finally, a numerical example is provided to demonstrate the efficiency of the proposed method and also the reduction of conservatism in finding the admissible upper bound of time-delay in comparison with other stability analysis approaches.

Input Shaping for Vibratory Systems Using Deadbeat State Feedback Control

2018 ◽  
Author(s):  
Alok Sinha
Keyword(s):  
Feedback Control ◽  
Control Theory ◽  
Discrete Time ◽  
State Feedback ◽  
Input Sequence ◽  
State Feedback Control ◽  
Flexible Structure ◽  
Input Shaping ◽  
Parametric Uncertainties ◽  
Feedback Control Theory

A general algorithm is developed for input shaping on the basis of the deadbeat state feedback control theory in discrete-time. This algorithm is easily extended to generate input sequence robust to parametric uncertainties in a flexible structure. Numerical results are presented for systems with one and two vibratory modes.

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