Passivity and passivation of interconnected time-delay models of reheat power systems

This paper investigates the problems of delay-dependent passivity and passivation of a class of linear interconnected time-delay systems with particular emphasis on multiarea reheat power systems. This class contains state delay in the dynamics and observation at the subsystem (local) level. A new state transformation is developed to exhibit the delay dependence in the system dynamics and a less conservative passivity-bounding inequality is incorporated. Through the analytical development, it is established that the passivity condition can be cast in a linear matrix inequality (LMI) format at the subsystem level thereby facilitating decentralized passivity analysis. For state-feedback passivation, it is proven that it is indifferent to use instantaneous or delayed decentralized state feedback. The case of dynamic output-feedback passivation is also treated. The analytical developments are simulated to a typical multiarea power system and the ensuing results show satisfactory performance.

[1]  Arthur R. Bergen,et al.  Power Systems Analysis , 1986 .

[2]  Pedro Luis Dias Peres,et al.  Decentralized control through parameter space optimization , 1994, Autom..

[3]  M.S. Mahmoud.  Passive control synthesis for uncertain time-delay systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[4]  Romeo Ortega,et al.  A Hamiltonian viewpoint in the modeling of switching power converters , 1999, Autom..

[5]  Magdi S. Mahmoud,et al.  Control of partially-known dynamical systems , 1989 .

[6]  Daizhan Cheng,et al.  Nonlinear decentralized saturated controller design for power systems , 2003, IEEE Trans. Control. Syst. Technol..

[7]  A. A. Bahnasawi,et al.  Decentralised and hierarchical control of interconnected uncertain systems , 1990 .

[8]  Magdi S. Mahmoud,et al.  Adaptive Identification and Control for a Class of Interconnected Systems , 2002 .

[9]  Taeyoung Lee,et al.  Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections , 1988 .

[10]  Magdi S. Mahmoud,et al.  Stabilizing control for a class of uncertain interconnected systems , 1994, IEEE Trans. Autom. Control..

[11]  Magdi S. Mahmoud,et al.  Robust Design of Stabilizing Controllers for Interconnected Time-delay Systems , 1998, Autom..

[12]  Bernhard Maschke,et al.  Dissipative Systems Analysis and Control , 2000 .

[13]  Cheng-Jyi Mao,et al.  Decentralized output tracking for linear uncertain interconnected systems , 1995, Autom..

[14]  P. Khargonekar,et al.  Solution to the positive real control problem for linear time-invariant systems , 1994, IEEE Trans. Autom. Control..

[15]  Emilia Fridman,et al.  On delay-dependent passivity , 2002, IEEE Trans. Autom. Control..

[16]  Zhongzhi Hu,et al.  Decentralized stabilization of large scale interconnected systems with delays , 1994, IEEE Trans. Autom. Control..

[17]  M. S. Mahmoud,et al.  Robust and H∞ stabilisation of interconnected systems with delays , 1998 .

[18]  Magdi S. Mahmoud,et al.  Guaranteed stabilization of interconnected discrete-time uncertain systems , 1995 .

[19]  Magdi S. Mahmoud,et al.  H/sub /spl infin//-controllers for linearised time-delay power systems , 2000 .

[20]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[21]  Lihua Xie,et al.  Passivity analysis and synthesis for uncertain time-delay systems , 2001 .

[22]  Vladimir Bobal,et al.  Design of Robust Controllers for Time-Delay Systems , 1997 .

[23]  Magdi S. Mahmoud.  Adaptive stabilization of a class of interconnected systems , 1997 .

[24]  Magdi S. Mahmoud,et al.  Passive control synthesis for uncertain systems with multiple-state delays , 2002, Comput. Electr. Eng..

[25]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[26]  Lihua Xie,et al.  Stability and Positive Realness of Time-Delay Systems , 1999 .