scholarly journals Sign-Consensus of Linear Multiagent Systems under a State Observer Protocol

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Wei-Lu Diao ◽  
Cui-Qin Ma
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
State Observer ◽  
Matrix Analysis ◽  
Positive Sign ◽  
Consensus Protocol ◽  
Linear Time Invariant ◽  
Signed Digraph ◽  
Linear Time Invariant Systems ◽  
Time Invariant

The sign-consensus problem for linear time-invariant systems under signed digraph is considered. The information of the agents’ states is reconstructed, and then, a state observer-type sign-consensus protocol is proposed, whose performance is analyzed using matrix analysis and ordinary differential equation theory. Sufficient conditions for ensuring sign-consensus are given. It is proven that if the adjacency matrix of the signed digraph has strong Perron–Frobenius property or is eventually positive, sign-consensus can be achieved under the proposed protocol. In particular, conventional consensus is a special case of sign-consensus under mild conditions.

Zeno-free adaptive event-triggered control design

2018 ◽  
Vol 41 (8) ◽  
pp. 2328-2337 ◽  
Author(s):  
Hassan Adloo ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Degrees Of Freedom ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Performance Criterion ◽  
Linear Time Invariant ◽  
Event Triggering ◽  
Linear Time Invariant Systems ◽  
System States ◽  
Time Invariant ◽  
Event Triggered

This paper presents a new general framework for adaptive event-triggered control strategy to extend average inter-event interval, while maintaining the performance of the system. The proposed event-triggering mechanism is acquired from input to state stability conditions, which is defined in terms of system states as well as an adaptation parameter. Under the Lipschitz assumption, a positive lower bound on sampling durations is also established that is essential to restrain the Zeno behavior. Applying the proposed method to linear time-invariant systems, leads to sufficient conditions to guarantee asymptotic stability in the form of matrix inequalities. Moreover, it is shown that there exist more degrees of freedom to improve the performance criterion from theoretical aspects. Finally, in order to show capability of the proposed method and its better performance compared with some recent works, numerical simulations are presented.

State Observer for Linear Time-Invariant Systems With Quantized Output

1998 ◽  
Vol 120 (3) ◽  
pp. 423-426 ◽  
Author(s):  
Joono Sur ◽  
Brad E. Paden
Keyword(s):  
Linear Time ◽  
State Observer ◽  
Optical Encoder ◽  
Noise Stability ◽  
Linear Time Invariant ◽  
Sufficient And Necessary Conditions ◽  
Linear Time Invariant Systems ◽  
Conditions Of Stability ◽  
Time Invariant ◽  
Lyapunov Second Method

In this paper we introduce a state observer for linear time-invariant systems with quantized outputs. The observer employs an orthogonal projection operation at quantizer output discontinuities to enhance its convergence rate for stable systems. The increasing rate of convergence and stability has been proven by using Lyapunov second method. Some sufficient and necessary conditions of stability for the unstable systems are derived. The sufficient condition of noise stability is given and the maximal bound of noise stability is presented. The proposed methodology has been applied to state estimation of a DC-motor with optical encoder.

Inverse-Dynamics Based State and Disturbance Observers for Linear Time-Invariant Systems

2002 ◽  
Vol 124 (3) ◽  
pp. 375-381 ◽  
Author(s):  
Chia-Shang Liu ◽  
Huei Peng
Keyword(s):  
Inverse Dynamics ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Design Procedure ◽  
Ground Vehicle ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Disturbance Model ◽  
Rank Conditions ◽  
Time Invariant

An output-feedback observer is proposed in this paper to simultaneously estimate unknown states and disturbances of linear time invariant systems. The states are estimated using a Luenberger-like observer while the disturbance signals are estimated based on an inverse-dynamics motivated algorithm. The proposed schemes can be applied to a wide variety of disturbances since no disturbance model is required in the estimation. Depending on the input/output rank conditions of the plant, two different designs are proposed. The observer gains are selected based on sufficient conditions for exponentially converging estimation. The design procedure is illustrated step-by-step by using two examples: a hypothetical problem and the ground vehicle lateral speed estimation problem. A standard H∞-filter is used as the benchmark to illustrate the performance of the proposed method.

scholarly journals Consensus Problem for Linear Time-Invariant Systems with Time-Delay

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
V. Fragoso-Rubio ◽  
M. Velasco-Villa ◽  
M. A. Vallejo-Alarcón ◽  
J. A. Vásquez-Santacruz ◽  
M. A. Hernández-Pérez
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Consensus Problem ◽  
Consensus Protocol ◽  
Linear Time Invariant ◽  
Future State ◽  
System Input ◽  
Future Value ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This work deals with the consensus problem of networks of agents with linear time-invariant dynamics and input time-delay. A predictor-observer scheme that estimates the future value of the system state is considered. The partitioned nature of the predictor allows dealing with larger time-delays than those reported in the literature. The estimated future state of the system is later used in the consensus protocol with the aim of compensating the system input delay. The effectiveness of the solution is shown by means of numerical evaluations.

DISSIPATIVE DYNAMICAL SYSTEMS IN A BEHAVIORAL CONTEXT

1991 ◽  
Vol 01 (01) ◽  
pp. 1-25 ◽  
Author(s):  
SIEP WEILAND ◽  
JAN C. WILLEMS
Keyword(s):  
Dynamical Systems ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Dissipative System ◽  
Linear Time Invariant ◽  
Linear Time Invariant Systems ◽  
Dissipative Dynamical Systems ◽  
Necessary And Sufficient ◽  
Lq Theory ◽  
Time Invariant

Various conceptual definitions of dissipativeness of time invariant dynamical systems are introduced. A formal distinction is made between external and internal dissipativeness and it is shown that, under certain conditions, these notions are equivalent. A characterization of the class of internal storage functions associated with a dissipative system is given. The results are applied to the class of finite-dimensional linear time invariant systems. Necessary and sufficient conditions for dissipativeness of systems in this class are derived and the relation to LQ-theory is discussed.

scholarly journals Simultaneous exact model matching with stability by output feedback

2017 ◽  
Vol 68 (2) ◽  
pp. 148-152
Author(s):  
Konstadinos H. Kiritsis
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Dynamic Output Feedback ◽  
Model Matching ◽  
Linear Time Invariant ◽  
Exact Model ◽  
Linear Time Invariant Systems ◽  
Necessary And Sufficient ◽  
Time Invariant

Abstract In this paper, is studied the problem of simultaneous exact model matching by dynamic output feedback for square and invertible linear time invariant systems. In particular, explicit necessary and sufficient conditions are established which guarantee the solvability of the problem with stability and a procedure is given for the computation of dynamic controller which solves the problem.

scholarly journals Reliable disturbance rejection

2005 ◽  
Vol 16 (1) ◽  
pp. 56-59
Author(s):  
Pedro M. G. Ferreira
Keyword(s):  
General Problem ◽  
Disturbance Rejection ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Factorization Approach ◽  
Linear Time Invariant ◽  
Actuator Failures ◽  
Linear Time Invariant Systems ◽  
Necessary And Sufficient ◽  
Time Invariant

The paper studies the reliability (sensor and actuator failures) of the asymptotic disturbance rejection problem for linear time invariant systems using the factorization approach, assuming that not all loops fail simultaneously and that sensor and actuator do not fail simultaneously. The plant is two-output, i.e. two-vector-output, and the disturbance is at the measured output of the plant. Necessary and sufficient conditions are presented for the general problem and a simple solution is given for problems with stable plants.

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