Robust ℋ︁2 static output feedback design starting from a parameter-dependent state feedback controller for time-invariant discrete-time polytopic systems

2011 ◽  
Vol 32 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Heber R. Moreira ◽  
Ricardo C. L. F. Oliveira ◽  
Pedro L. D. Peres
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
State Feedback ◽  
Static Output Feedback ◽  
Feedback Design ◽  
Polytopic Systems ◽  
Parameter Dependent ◽  
Time Invariant ◽  
Static Output ◽  
Dependent State

scholarly journals LMI Formulation for Static Output Feedback Design of Discrete-Time Switched Systems

2009 ◽  
Vol 2009 ◽  
pp. 1-7 ◽  
Author(s):  
Selma Ben Attia ◽  
Salah Salhi ◽  
Mekki Ksouri
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Small Degree ◽  
Switched System ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Additional Degree ◽  
Feedback Design ◽  
And Performance ◽  
Static Output

This paper concerns static output feedback design of discrete-time linear switched system using switched Lyapunov functions (SLFs). A new characterization of stability for the switched system under arbitrary switching is first given together with -performance evaluation. The various conditions are given through a family of LMIs (Linear Matrix Inequalities) parameterized by a scalar variable which offers an additional degree of freedom, enabling, at the expense of a relatively small degree of complexity in the numerical treatment (one line search), to provide better results compared to previous one. The control is defined as a switched static output feedback which guarantees stability and -performance for the closed-loop system. A numerical example is presented to illustrate the effectiveness of the proposed conditions.

scholarly journals Static output feedback stabilization of discrete time linear time invariant systems based on approximate dynamic programming

2020 ◽  
Vol 42 (16) ◽  
pp. 3168-3182
Author(s):  
Okan Demir ◽  
Hitay Özbay
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Linear Time ◽  
Feedback Stabilization ◽  
Mixed Integer ◽  
Static Output Feedback ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
Time Linear ◽  
Static Output

This study proposes a method for the static output feedback (SOF) stabilization of discrete time linear time invariant (LTI) systems by using a low number of sensors. The problem is investigated in two parts. First, the optimal sensor placement is formulated as a quadratic mixed integer problem that minimizes the required input energy to steer the output to a desired value. Then, the SOF stabilization, which is one of the most fundamental problems in the control research, is investigated. The SOF gain is calculated as a projected solution of the Hamilton-Jacobi-Bellman (HJB) equation for discrete time LTI system. The proposed method is compared with several examples from the literature.

scholarly journals Preview Control for MIMO Discrete-Time System with Parameter Uncertainty

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 756 ◽  
Author(s):  
Li Li ◽  
Fucheng Liao
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
State Feedback ◽  
Mimo Systems ◽  
Multiple Input Multiple Output ◽  
Reference Signal ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Discrete Time System ◽  
Static Output

We consider the problems of state feedback and static output feedback preview controller (PC) for uncertain discrete-time multiple-input multiple output (MIMO) systems based on the parameter-dependent Lyapunov function and the linear matrix inequality (LMI) technique in this paper. First, for each component of a reference signal, an augmented error system (AES) containing previewed information is constructed via the difference operator and state augmentation technique. Then, for the AES, the state feedback and static output feedback are introduced, and when considering the output feedback, a previewable reference signal is utilized by modifying the output equation. The preview controllers’ parameter matrices can be achieved from the solution of LMI problems. The superiority of the PC is illustrated via two numerical examples.

DELAY-DEPENDENT H∞ RESILIENT OUTPUT FUZZY CONTROL FOR NONLINEAR DISCRETE-TIME SYSTEMS WITH TIME-DELAY

2011 ◽  
Vol 19 (02) ◽  
pp. 229-250 ◽  
Author(s):  
MOURAD KCHAOU ◽  
AHMED TOUMI ◽  
MANSOUR SOUISSI
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
State Feedback ◽  
Sufficient Conditions ◽  
The State ◽  
System Stability ◽  
Static Output Feedback ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Static Output

This paper is concerned with the problem of non-fragile (resilient) H∞ control for a class of state-delay nonlinear discrete-time systems described by (TS) fuzzy models where both the state feedback and static output feedback are investigated. Based on basis-dependent Lyapunov-krasovskii function, sufficient conditions are derived to achieve the system stability and the H∞ performance. The linear matrix inequality (LMI) approach is proposed to obtain the state-feedback gains, and a homotopy-based iterative LMI algorithm is developed to get the static output feedback gains. An illustrative example shows the effectiveness and the feasibility of the theoretical developments.

Sign in / Sign up

Export Citation Format

Share Document