Design of Linear Control Systems for Robust Stability and Performance

New methods of robust stability analysis for equilibrium states and optimization of linear dynamic systems are developed. Sufficient stability conditions of the zero state are formulated for a linear control systems with uncertain coefficient matrices and measurable output feedback. In addition, a general quadratic Lyapunov function and ellipsoidal set of stabilizing matrices for the feedback amplification coefficients are given. Application of the results is reduced to solving the systems of linear matrix inequalities.

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Robust Stability of Networked Linear Control Systems with Asynchronous Continuous- and Discrete-Time Event-Triggering Schemes

IEEE Transactions on Automatic Control ◽

10.1109/tac.2020.2987649 ◽

2020 ◽

pp. 1-1

Author(s):

Feng Xiao ◽

Yang Shi ◽

Tongwen Chen

Keyword(s):

Control Systems ◽

Robust Stability ◽

Discrete Time ◽

Linear Control ◽

Linear Control Systems ◽

Event Triggering

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An algebraic criterion for robust stability of linear control systems

IEEE Transactions on Automatic Control ◽

10.1109/9.661073 ◽

1998 ◽

Vol 43 (2) ◽

pp. 237-241 ◽

Cited By ~ 1

Author(s):

B.E. Dainson ◽

D.R. Lewin

Keyword(s):

Control Systems ◽

Robust Stability ◽

Linear Control ◽

Linear Control Systems ◽

Algebraic Criterion

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Application of Matrix Generalized Inverses to the Computation of Zeros and Zero Directions of Singular Linear Control Systems

10.23919/acc.1982.4787860 ◽

1982 ◽

Author(s):

N. Al-Nasr ◽

V. Lovass-Nagy ◽

D. O'Connor

Keyword(s):

Control Systems ◽

Linear Control ◽

Generalized Inverses ◽

Linear Control Systems

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An Optimization Method for Static Output Feedback Stabilization of Linear Control Systems

2020 39th Chinese Control Conference (CCC) ◽

10.23919/ccc50068.2020.9188519 ◽

2020 ◽

Author(s):

Renhong Hu ◽

Lizhen Shao

Keyword(s):

Control Systems ◽

Output Feedback ◽

Optimization Method ◽

Feedback Stabilization ◽

Linear Control ◽

Linear Control Systems ◽

Static Output Feedback ◽

Output Feedback Stabilization ◽

Static Output

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Fractional Vector-Order h-Realisation of the Impulse Response Function

Acta Mechanica et Automatica ◽

10.2478/ama-2020-0016 ◽

2020 ◽

Vol 14 (2) ◽

pp. 108-113

Author(s):

Ewa Pawłuszewicz

Keyword(s):

Control Systems ◽

Impulse Response ◽

Response Function ◽

Impulse Response Function ◽

Linear Control ◽

Linear Control Systems

AbstractThe problem of realisation of linear control systems with the h–difference of Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type fractional vector-order operators is studied. The problem of existing minimal realisation is discussed.

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