Decentralized bounded input bounded output stabilization of perturbed interconnected time-delay power systems with energy storages |
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| Affiliation: | 1. Institute for Intelligent Systems Research and Innovation, Deakin University, Geelong, VIC 3217, Australia;2. School of Engineering, Deakin University, Geelong, VIC 3217, Australia;3. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Road, Hanoi, Viet Nam;1. Department of Electrical and Computer Engineering, University of Kashan, 6 km Ghotbravandi Blvd, postal code: 8731753153, Kashan, Iran;2. Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Power System Excellence, Tehran 15914, Iran;3. Department of Electrical and Computer Engineering, Howard University, Washington, D.C., United States;4. Department of Electrical Engineering, Ashkezar Branch, Islamic Azad University, Ashkezar, Iran;1. School of Engineering and Information Technology (SEIT), The University of New South Wales at Australian Defence Force Academy (UNSW@ADFA), Canberra, ACT 2612, Australia;2. School of Engineering, Deakin University, Geelong Waurn Ponds Campus, Australia;1. Department of Electrical Engineering, Kermanshah University of Technology, Kermanshah, Iran;2. Department of Industrial Engineering, University of Salerno, Italy;1. College of Information Engineering, Dalian University, Dalian 116622, China;2. School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China |
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| Abstract: | This paper presents a new decentralized bounded input bounded output (BIBO) stabilization problem for a class of interconnected time-delay systems and its application to power systems with energy storages. We first provide conditions for the derivation of an ellipsoid that bounds a given linear functions of the state vector. Then, a design procedure is proposed to synthesize decentralized static output feedback controllers. The designed controllers guarantee that a given linear functions of the state vector, starting from any initial condition, converges exponentially to its prescribed zones. To deal with the time-delay issue, we use an improved weighted integral inequality recently reported in the literature to derive less conservative exponential stability conditions. Then, our presented control approach is applied to an interconnected power system integrated energy storages with multiple time delays. We synthesis decentralized static output feedback load frequency controllers to guarantee that the system frequency and interchanged power converge to their prescribed zones exponentially from any initial conditions. The controller’s construction is simpler and easier for implementation due to only the local output measurements are required. In order to systematically obtain the controller gains, an effective procedure using linear matrix inequality based stabilisation criteria, which can be solved by various computation tools, is provided. Finally, the effectiveness of the proposed control scheme is verified by comprehensive simulations. |
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| Keywords: | Load frequency control Interconnected time-delay system Decentralized output feedback control Reachable set estimation Bounded input bounded output control |
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