- 期刊
Structurally Constrained H(subscript ∞) Suboptimal Control Design Using an Iterative Linear Matrix Inequality Algorithm Based on a Dual Design Formulation
並列摘要
A general approach for solving structurally constrained H(subscript ∞) suboptimal control problems is proposed. The structurally constrained problems include static output feedback control, decentralized control, and fixed controllers for different operating conditions. The approach uses a dual design formulation based on an H(subscript ∞) state-feedback controller parametrization result. The dual design condition is in the form of a biaffine matrix inequality (BMI). To solve for the control gains from the BMI, an iterative algorithm based on the linear matrix inequality (LMI) technique is developed. In this new approach, the control gains are independent of any Riccati equation solutions.
延伸閱讀
- Ji, S. L., Wei, Q. M., & Zhang, X. M. (2012). A Maximum Principle for Controlled Time-Symmetric Forward-Backward Doubly Stochastic Differential Equation with Initial-Terminal Sate Constraints. Abstract and Applied Analysis, 2012(), 118-146-407. https://doi.org/10.1155/2012/537376
- Bnouhachem, A., & Hamdi, A. (2013). A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem. Abstract and Applied Analysis, 2013(), 805-823-981. https://doi.org/10.1155/2013/737590
- Saewan, S., & Kumam, P. (2010). A Hybrid Iterative Scheme for a Maximal Monotone Operator and Two Countable Families of Relatively Quasi-Nonexpansive Mappings for Generalized Mixed Equilibrium and Variational Inequality Problems. Abstract and Applied Analysis, (2010), 60-90. https://doi.org/10.1155/2010/123027
- Wu, W. B., Chen, P. C., Chen, G., Chang, K. Y., & Chang, Y. H. (2009). Robustly Decentralized H(subscript ∞) Controller with Variance Constraint Design for Large-Scale Stochastic Uncertain Time-Delay Systems via LMI Approach. 淡江理工學刊, 12(1), 57-66. https://doi.org/10.6180/jase.2009.12.1.06
- Chang, W. J., & Chang, K. Y. (1999). H(subscript ∞) Norm and Variance Constrained Controller Design for Perturbed Stochastic Systems via Variable Structure Control. Journal of Marine Science and Technology, 7(1), 26-34. https://doi.org/10.6119/JMST.199906_7(1).0004