A Fixed-Order, Mixed H2/L1 Control Synthesis Method for Continuous Linear Systems,

1995 ◽  
Author(s):  
Mark S. Spillman ◽  
D. B. Ridgely
Keyword(s):  
Linear Systems ◽  
Synthesis Method ◽  
Control Synthesis ◽  
Continuous Linear ◽  
Fixed Order

scholarly journals Improved H2 and H¥ conditions for robust analysis and control synthesis of linear systems

2005 ◽  
Vol 16 (4) ◽  
pp. 427-434 ◽  
Author(s):  
Alexandre Trofino ◽  
Daniel F. Coutinho ◽  
Karina A. Barbosa
Keyword(s):  
Linear Systems ◽  
Control Synthesis ◽  
H Infinity ◽  
Stability Performance ◽  
Augmented Space ◽  
Polytopic Uncertainties ◽  
Discrete Time Case ◽  
Performance Conditions ◽  
And Control ◽  
Parameter Dependent

This paper proposes improved H-2 and H-infinity conditions for continuous-time linear systems with polytopic uncertainties based on a recent result for the discrete-time case. Basically, the performance conditions are built on an augmented-space with additional multipliers resulting in a decoupling between the Lyapunov and system matrices. This nice property is used to develop new conditions for the robust stability, performance analysis, and control synthesis of linear systems using parameter dependent Lyapunov functions in a numerical tractable way.

Continuous linear systems

2001 ◽  
pp. 73-205
Author(s):  
Branislav Kisačanin ◽  
Gyan C. Agarwal
Keyword(s):  
Linear Systems ◽  
Continuous Linear

Robust H∞ Control and Stabilization of Uncertain Switched Linear Systems: A Multiple Lyapunov Functions Approach

2005 ◽  
Vol 128 (3) ◽  
pp. 696-700 ◽  
Author(s):  
Zhijian Ji ◽  
Xiaoxia Guo ◽  
Long Wang ◽  
Guangming Xie
Keyword(s):  
Linear Systems ◽  
Lyapunov Functions ◽  
State Feedback ◽  
Robust Stabilization ◽  
Disturbance Attenuation ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Multiple Lyapunov Functions ◽  
Switched Linear Systems ◽  
Switched State Feedback

This paper addresses robust H∞ control and stabilization of switched linear systems with norm-bounded time-varying uncertainties. First, based on multiple Lyapunov functions methodology, a sufficient condition is derived for robust stabilization with a prescribed disturbance attenuation level γ only by employing state-dependent switching rules. Then the robust H∞ control synthesis via switched state feedback is studied. It is shown that a switched state-feedback controller can be designed to stabilize the switched systems with an H∞-norm bound if a matrix inequality based condition is feasible. This condition can be dealt with as linear matrix inequalities (LMIs) provided that the associated parameters are selected in advance. All the results presented can be regarded as an extension of some existing results for both switched and nonswitched systems.

Fixed-order dynamic compensation for multivariable linear systems

1988 ◽  
Vol 11 (1) ◽  
pp. 80-85 ◽  
Author(s):  
Friedrich S. Kramer ◽  
Anthony J. Calise
Keyword(s):  
Linear Systems ◽  
Dynamic Compensation ◽  
Fixed Order

Control synthesis of a class of DEDS

Kybernetes ◽  
2002 ◽  
Vol 31 (9/10) ◽  
pp. 1274-1281 ◽  
Author(s):  
František Čapkovič
Keyword(s):  
Discrete Event ◽  
Synthesis Method ◽  
Terminal State ◽  
The State ◽  
Synthesis Process ◽  
Control Synthesis ◽  
Discrete Event Dynamic Systems ◽  
Initial State ◽  
Output Place ◽  
Reachability Tree

A new control synthesis method suitable for a special kind of discrete event dynamic systems (DEDS) is presented in this paper. The systems to be controlled are modelled by a special class of Petri nets (PN) named state machine (SM). The class is distinctive by the fact that each PN transition has only one input place and only one output place. Bipartite directed graphs (BDG) are utilized in the control synthesis process. Namely, PN in general are (from the structure point of view) the BDG. Both the state reachability tree and the corresponding control one are developed in the straight‐line procedure starting from the given initial state and directed to the desirable terminal one as well as in the backtracking procedure starting from the terminal state and directed to the initial one. After a suitable intersection of both the straight‐lined state reachability tree and the backtracking one the state trajectories of the system are obtained. After the intersection of both the straight‐lined control reachability tree and the backtracking one the control interferences corresponding to the state trajectories are obtained.

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